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    "### Step in depth antenna\n",
    "\n",
    "A step in width microstrip antenna is a design variation where the radiating patch element has a non-uniform width that changes along its length. Instead of a simple rectangular patch, the conducting strip gradually narrows or widens at specific points."
   ]
  },
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   "source": [
    "import gmsh\n",
    "import math\n",
    "import os\n",
    "from pathlib import Path\n",
    "\n",
    "from palacetoolkit.viz import view_mesh\n",
    "from palacetoolkit.mesh import (\n",
    "    Entity,\n",
    "    run_entity_pipeline,\n",
    "    generate_3d_mesh,\n",
    "    create_graded_mesh,\n",
    "    )\n",
    "from palacetoolkit.simulation import Simulation, run_palace"
   ]
  },
  {
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   "execution_count": null,
   "id": "35e745ba",
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   "source": [
    "### Parameters:\n",
    "\n",
    "- l1 : Ground plane length along x-axis, specified as a scalar in meters\n",
    "- w1 : Ground plane width along y-axis, specified as a scalar in meters\n",
    "- h : Patch height along z-axis, specified as a scalar in meters.\n",
    "\n",
    "- strip_line_length : Notch length along x-axis, specified as a scalar in meters. \n",
    "- strip_lined_width_near_port: Notch width along x-axis near the port, specified as a scalar in meters. \n",
    "- strip_lined_width_far: Strip line width along y-axis far from the port, specified as a scalar in meters.\n",
    "- air_height : Air box height along z-axis, specified as a scalar in meters.  \n",
    "- air_margin : Air box margin along x and y axes, specified as a scalar in meters.\n",
    "- freq  : Simulation frequency in GHz, specified as a scalar.\n",
    "- filename : Output mesh filename, specified as a string."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "31e252bf",
   "metadata": {
    "execution": {
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   "source": [
    "l1: float = 0.06\n",
    "w1: float = 0.06\n",
    "strip_line_length: float = 0.06\n",
    "strip_line_width_near_port: float = 0.001\n",
    "strip_line_width_far: float = 0.003\n",
    "h: float = 0.0013\n",
    "air_height: float = 0.025    \n",
    "air_margin: float = 0.025    \n",
    "freq: float = 3.3\n",
    "filename: str = \"sw_antenna.msh\"\n",
    "\n",
    "wavelength = 3e8 / (freq * 1e9)"
   ]
  },
  {
   "cell_type": "markdown",
   "execution_count": null,
   "id": "9f0c809a",
   "metadata": {
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   "source": [
    "### Initialize the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "20a8fc36",
   "metadata": {
    "execution": {
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   "source": [
    "gmsh.initialize()\n",
    "gmsh.model.add(\"patch_antenna\")\n",
    "kernel = gmsh.model.occ"
   ]
  },
  {
   "cell_type": "markdown",
   "execution_count": null,
   "id": "e39ac1fa",
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   },
   "outputs": [],
   "source": [
    "### Geometry generation\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f07ee82e",
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    "execution": {
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Info    : [  0%] Union                                                                                  \r",
      "Info    : [ 10%] Union                                                                                  \r",
      "Info    : [ 20%] Union                                                                                  \r",
      "Info    : [ 30%] Union                                                                                  \r",
      "Info    : [ 40%] Union                                                                                  \r",
      "Info    : [ 50%] Union                                                                                  \r",
      "Info    : [ 70%] Union                                                                                  \r",
      "Info    : [ 80%] Union - Splitting faces                                                                                \r",
      "                                                                                \r",
      "Info    : Cannot bind existing OpenCASCADE surface 8 to second tag 9\n",
      "Info    : Could not preserve tag of 2D object 9 (->8)\n"
     ]
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   ],
   "source": [
    "# Total domain bounds\n",
    "total_xmin = -l1/2 - air_margin\n",
    "total_xmax = l1/2 + air_margin\n",
    "total_ymin = -w1/2 - air_margin\n",
    "total_ymax = w1/2 + air_margin\n",
    "total_zmax = h + air_height\n",
    "\n",
    "substrate = kernel.addBox(-l1/2, -w1/2, 0, l1, w1, h)\n",
    "\n",
    "ground_plane = kernel.addRectangle(-l1/2, -w1/2, 0, l1, w1)\n",
    "\n",
    "strip_line_1 = kernel.addRectangle(-l1/2, -strip_line_width_near_port/2, h, strip_line_length/2, strip_line_width_near_port)\n",
    "strip_line_2 = kernel.addRectangle(0, -strip_line_width_far/2, h, strip_line_length/2, strip_line_width_far)\n",
    "\n",
    "top_conductor, _ = kernel.fuse(\n",
    "    [(2, strip_line_1)], [(2, strip_line_2)],\n",
    "    removeObject=True, removeTool=True\n",
    ")\n",
    "kernel.synchronize()\n",
    "\n",
    "gap = 0\n",
    "lumped_port = kernel.addRectangle(-l1/2 + gap, -strip_line_width_near_port/2, 0, h - gap, strip_line_width_near_port)\n",
    "kernel.rotate([(2, lumped_port)], -l1/2, 0, 0, 0, 1, 0, -math.pi/2)\n",
    "kernel.synchronize()\n",
    "\n",
    "# Replace box with an enclosing air sphere, following the patch_antenna pattern.\n",
    "airsphere_radius = max(abs(total_xmin), abs(total_xmax), abs(total_ymin), abs(total_ymax), total_zmax)\n",
    "air_sphere = kernel.addSphere(0.0, 0.0, 0.0, airsphere_radius)\n",
    "kernel.synchronize()"
   ]
  },
  {
   "cell_type": "markdown",
   "execution_count": null,
   "id": "4103d2c6",
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   "outputs": [],
   "source": [
    "### Entities definition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "83500869",
   "metadata": {
    "execution": {
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    {
     "name": "stdout",
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     "text": [
      "  Physical group 'air_sphere' (dim=3): pg=1, tags=[2]\n",
      "  Physical group 'substrate' (dim=3): pg=2, tags=[1]\n",
      "  Physical group 'top_conductor' (dim=2): pg=3, tags=[8]\n",
      "  Physical group 'ground_plane' (dim=2): pg=4, tags=[7]\n",
      "  Physical group 'lumped_port' (dim=2): pg=5, tags=[9]\n",
      "  Physical group 'air_sphere__None' (dim=2): pg=6, tags=[17]\n",
      "  Physical group 'air_sphere__substrate' (dim=2): pg=7, tags=[10, 11, 13, 15, 16, 14, 12]\n",
      "  ignoring 3 curves from {'air_sphere__None'}\n",
      "  global: 26 curves, SizeMin=0.0018\n",
      "  ppw_near=50  ppw_far=30\n",
      "  SizeMax=0.0030  transition=0.0227\n",
      "[Entity('air_sphere', dim=3, order=2, tags=[2]), Entity('substrate', dim=3, order=1, tags=[1]), Entity('top_conductor', dim=2, order=1, tags=[8]), Entity('ground_plane', dim=2, order=1, tags=[7]), Entity('lumped_port', dim=2, order=0, tags=[9])]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loading mesh file: sw_antenna.msh\n",
      "Groups to render transparent: air_sphere__None\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mesh loaded successfully with 2 cell blocks\n",
      "Found 15988 triangles total\n",
      "Physical group tags in mesh: {3: 'top_conductor', 4: 'ground_plane', 5: 'lumped_port', 6: 'air_sphere__None', 7: 'air_sphere__substrate'}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Material and port constants reused in meshing/config sections.\n",
    "eps_r: float = 2.2\n",
    "loss_tan: float = 0.0009\n",
    "port_impedance: float = 50.0\n",
    "\n",
    "entities = [\n",
    "    Entity(\"air_sphere\", dim=3, btype=\"dielectric\", mesh_order=2, tags=[air_sphere], eps_r=1.0, mu_r=1.0, loss_tan=0.0),\n",
    "    Entity(\"substrate\", dim=3, btype=\"dielectric\", mesh_order=1, tags=[substrate], eps_r=eps_r, mu_r=1.0, loss_tan=loss_tan),\n",
    "    Entity(\"top_conductor\", dim=2, btype=\"pec\", mesh_order=1, tags=[top_conductor[0][1]]),\n",
    "    Entity(\"ground_plane\", dim=2, btype=\"pec\", mesh_order=1, tags=[ground_plane]),\n",
    "    Entity(\"lumped_port\", dim=2, btype=\"lumped_port\", mesh_order=0, tags=[lumped_port], R=port_impedance, direction=\"+Z\", excitation=True),\n",
    "]\n",
    "\n",
    "pg_map = run_entity_pipeline(entities)\n",
    "\n",
    "# Refine near the top conductor and locally the lumped port\n",
    "create_graded_mesh(  wavelength, \n",
    "                     ppw_near=50, \n",
    "                     ppw_far=30, \n",
    "                     set_as_background=True)\n",
    "\n",
    "print(entities)\n",
    "\n",
    "# Mesh sizes\n",
    "mesh_sizes = {\n",
    "    \"substrate\": wavelength / 12,\n",
    "    \"air_sphere\": wavelength / 4,\n",
    "    \"lumped_port\": wavelength / 150,\n",
    "    \"ground_plane\": wavelength / 10,\n",
    "    \"top_conductor\": wavelength / 50,\n",
    "}\n",
    "\n",
    "generate_3d_mesh(entities, mesh_sizes, filename, optimize=True, verbose=False)\n",
    "\n",
    "view_mesh(filename, transparent_groups=\"air_sphere__None\")"
   ]
  },
  {
   "cell_type": "markdown",
   "execution_count": null,
   "id": "c57f3dcf",
   "metadata": {
    "papermill": {
     "duration": 0.003654,
     "end_time": "2026-08-05T22:08:23.824145+00:00",
     "exception": false,
     "start_time": "2026-08-05T22:08:23.820491+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "### Generate JSON config\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "770fd071",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-05T22:08:23.832554Z",
     "iopub.status.busy": "2026-08-05T22:08:23.832345Z",
     "iopub.status.idle": "2026-08-05T22:08:23.835842Z",
     "shell.execute_reply": "2026-08-05T22:08:23.834949Z"
    },
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     "duration": 0.008802,
     "end_time": "2026-08-05T22:08:23.836715+00:00",
     "exception": false,
     "start_time": "2026-08-05T22:08:23.827913+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "output_file: str = \"sw_antenna.json\"\n",
    "freq_min: float = 3.0\n",
    "freq_max: float = 3.5\n",
    "freq_step: float = 0.005\n",
    "solver_order: int = 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c7e87f93",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-05T22:08:23.845010Z",
     "iopub.status.busy": "2026-08-05T22:08:23.844819Z",
     "iopub.status.idle": "2026-08-05T22:38:12.301260Z",
     "shell.execute_reply": "2026-08-05T22:38:12.300398Z"
    },
    "papermill": {
     "duration": 1788.466177,
     "end_time": "2026-08-05T22:38:12.306555+00:00",
     "exception": false,
     "start_time": "2026-08-05T22:08:23.840378+00:00",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Palace config written to /home/runner/work/PalaceToolkit/PalaceToolkit/docs/examples/sw_antenna.json\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<details open class=\"ptk-scroll-output\"><summary><strong>Palace simulation output</strong></summary><pre style=\"--ptk-output-visible-lines:20; --ptk-output-line-height:1.35;\">  Running: /home/runner/.cache/palacetoolkit/runtime/palace-cpu-v0.17.0/bin/palace --serial /home/runner/work/PalaceToolkit/PalaceToolkit/docs/examples/sw_antenna.json\n",
       "&gt;&gt; /home/runner/.cache/palacetoolkit/runtime/palace-cpu-v0.17.0/bin/palace-x86_64.bin /home/runner/work/PalaceToolkit/PalaceToolkit/docs/examples/sw_antenna.json\n",
       "\n",
       "_____________     _______\n",
       "_____   __   \\____ __   /____ ____________\n",
       "____   /_/  /  __ ` /  /  __ ` /  ___/  _ \\\n",
       "___   _____/  /_/  /  /  /_/  /  /__/  ___/\n",
       "  /__/     \\___,__/__/\\___,__/\\_____\\_____/\n",
       "\n",
       "Git changeset ID: v0.17.0-272-gb22f654ab\n",
       "Running with 1 MPI process, 1 OpenMP thread\n",
       "Device configuration: omp,cpu\n",
       "Memory configuration: host-std\n",
       "libCEED backend: /cpu/self/xsmm/blocked\n",
       "\n",
       "Added 174 elements in 2 iterations of local bisection for under-resolved interior boundaries\n",
       "Added 1035 duplicate vertices for interior boundaries in the mesh\n",
       "Added 2273 duplicate boundary elements for interior boundaries in the mesh\n",
       "\n",
       "Characteristic length and time scales:\n",
       " Lc = 1.100e-01 m, tc = 3.669e-01 ns\n",
       "Finished partitioning mesh into 1 subdomain\n",
       "\n",
       "Mesh curvature order: 1\n",
       "Mesh bounding box:\n",
       " (Xmin, Ymin, Zmin) = (-5.500e-02, -5.500e-02, -5.500e-02) m\n",
       " (Xmax, Ymax, Zmax) = (+5.500e-02, +5.498e-02, +5.500e-02) m\n",
       "\n",
       "Parallel Mesh Stats:\n",
       "\n",
       "                minimum     average     maximum       total\n",
       " vertices         29413       29413       29413       29413\n",
       " edges           188751      188751      188751      188751\n",
       " faces           310683      310683      310683      310683\n",
       " elements        151342      151342      151342      151342\n",
       " neighbors            0           0           0\n",
       "\n",
       "            minimum     maximum\n",
       " h       0.00679076   0.0488643\n",
       " kappa      1.04087     8.22709\n",
       "\n",
       "Estimated current per-rank memory usage is: Min. 174.1M, Max. 174.1M, Avg. 174.1M, Total 174.1M\n",
       "Estimated current per-node memory usage is: Min. 174.1M, Max. 174.1M, Avg. 174.1M, Total 174.1M\n",
       "\n",
       "Configuring Robin absorbing BC (order 1) at attributes:\n",
       " 6\n",
       "\n",
       "Configuring Robin impedance BC for lumped ports at attributes:\n",
       " 5: Rs = 3.846e+01 Ω/sq, n = (-1.0,+0.0,+0.0)\n",
       "\n",
       "Configuring lumped port circuit properties:\n",
       " Index = 1: R = 5.000e+01 Ω\n",
       "\n",
       "Configuring lumped port excitation source term at attributes:\n",
       " 5: Index = 1\n",
       "\n",
       "Configuring Dirichlet PEC BC at attributes:\n",
       " 3-4\n",
       "\n",
       "Computing adaptive fast frequency response for:\n",
       "Excitation with index 1 has contributions from:\n",
       " Lumped port  1\n",
       "\n",
       "Beginning PROM construction offline phase:\n",
       " 101 points for frequency sweep over [3.000e+00, 3.500e+00] GHz\n",
       "\n",
       "Assembling system matrices, number of global unknowns:\n",
       " H1 (p = 2): 218164, ND (p = 2): 998868, RT (p = 2): 1386075\n",
       " Operator assembly level: Partial\n",
       " Mesh geometries:\n",
       "  Tetrahedron: P = 20, Q = 14 (quadrature order = 4)\n",
       "\n",
       "Assembling multigrid hierarchy:\n",
       " Level 0 (p = 1): 188751 unknowns\n",
       " Level 1 (p = 2): 998868 unknowns\n",
       " Level 0 (auxiliary) (p = 1): 29413 unknowns\n",
       " Level 1 (auxiliary) (p = 2): 218164 unknowns\n",
       "\n",
       "  Residual norms for GMRES solve\n",
       "  0 (restart 0) KSP residual norm 3.514552e+01\n",
       "  1 (restart 0) KSP residual norm 8.788764e+00\n",
       "  2 (restart 0) KSP residual norm 1.139096e+00\n",
       "  3 (restart 0) KSP residual norm 1.256635e-01\n",
       "  4 (restart 0) KSP residual norm 4.426160e-02\n",
       "  5 (restart 0) KSP residual norm 5.459451e-03\n",
       "  6 (restart 0) KSP residual norm 1.118184e-03\n",
       "  7 (restart 0) KSP residual norm 2.642290e-04\n",
       "  8 (restart 0) KSP residual norm 6.413333e-05\n",
       "  9 (restart 0) KSP residual norm 1.929895e-05\n",
       " 10 (restart 0) KSP residual norm 4.337882e-06\n",
       " 11 (restart 0) KSP residual norm 1.728813e-06\n",
       " 12 (restart 0) KSP residual norm 4.846822e-07\n",
       " 13 (restart 0) KSP residual norm 1.817288e-07\n",
       "GMRES solver converged in 13 iterations (avg. reduction factor: 2.305e-01)\n",
       " Field energy E (4.271e-10 J) + H (4.742e-10 J) = 9.013e-10 J\n",
       "\n",
       "  Residual norms for GMRES solve\n",
       "  0 (restart 0) KSP residual norm 3.064074e+01\n",
       "  1 (restart 0) KSP residual norm 5.535340e+00\n",
       "  2 (restart 0) KSP residual norm 7.712672e-01\n",
       "  3 (restart 0) KSP residual norm 8.979728e-02\n",
       "  4 (restart 0) KSP residual norm 4.509668e-02\n",
       "  5 (restart 0) KSP residual norm 4.287758e-03\n",
       "  6 (restart 0) KSP residual norm 9.385858e-04\n",
       "  7 (restart 0) KSP residual norm 2.094726e-04\n",
       "  8 (restart 0) KSP residual norm 5.944092e-05\n",
       "  9 (restart 0) KSP residual norm 1.650745e-05\n",
       " 10 (restart 0) KSP residual norm 4.733055e-06\n",
       " 11 (restart 0) KSP residual norm 1.420571e-06\n",
       " 12 (restart 0) KSP residual norm 4.198405e-07\n",
       " 13 (restart 0) KSP residual norm 1.497239e-07\n",
       "GMRES solver converged in 13 iterations (avg. reduction factor: 2.295e-01)\n",
       " Field energy E (1.940e-10 J) + H (2.033e-10 J) = 3.973e-10 J\n",
       "\n",
       "  Residual norms for GMRES solve\n",
       "  0 (restart 0) KSP residual norm 3.080123e+01\n",
       "  1 (restart 0) KSP residual norm 6.890632e+00\n",
       "  2 (restart 0) KSP residual norm 9.361836e-01\n",
       "  3 (restart 0) KSP residual norm 1.049371e-01\n",
       "  4 (restart 0) KSP residual norm 4.223593e-02\n",
       "  5 (restart 0) KSP residual norm 4.581900e-03\n",
       "  6 (restart 0) KSP residual norm 1.005766e-03\n",
       "  7 (restart 0) KSP residual norm 2.269939e-04\n",
       "  8 (restart 0) KSP residual norm 5.905762e-05\n",
       "  9 (restart 0) KSP residual norm 1.769588e-05\n",
       " 10 (restart 0) KSP residual norm 4.212962e-06\n",
       " 11 (restart 0) KSP residual norm 1.612373e-06\n",
       " 12 (restart 0) KSP residual norm 4.146249e-07\n",
       " 13 (restart 0) KSP residual norm 1.747044e-07\n",
       "GMRES solver converged in 13 iterations (avg. reduction factor: 2.321e-01)\n",
       "\n",
       "Greedy iteration 1 (n = 4): ω* = 3.223e+00 GHz (7.431e+00), error = 9.172e-02, memory = 0/2\n",
       " Field energy E (2.576e-10 J) + H (2.988e-10 J) = 5.564e-10 J\n",
       "\n",
       "  Residual norms for GMRES solve\n",
       "  0 (restart 0) KSP residual norm 3.001351e+01\n",
       "  1 (restart 0) KSP residual norm 5.920182e+00\n",
       "  2 (restart 0) KSP residual norm 8.232387e-01\n",
       "  3 (restart 0) KSP residual norm 9.383373e-02\n",
       "  4 (restart 0) KSP residual norm 4.253228e-02\n",
       "  5 (restart 0) KSP residual norm 4.275417e-03\n",
       "  6 (restart 0) KSP residual norm 9.341871e-04\n",
       "  7 (restart 0) KSP residual norm 2.099241e-04\n",
       "  8 (restart 0) KSP residual norm 5.796787e-05\n",
       "  9 (restart 0) KSP residual norm 1.667104e-05\n",
       " 10 (restart 0) KSP residual norm 4.372458e-06\n",
       " 11 (restart 0) KSP residual norm 1.487008e-06\n",
       " 12 (restart 0) KSP residual norm 3.945079e-07\n",
       " 13 (restart 0) KSP residual norm 1.592314e-07\n",
       "GMRES solver converged in 13 iterations (avg. reduction factor: 2.309e-01)\n",
       "\n",
       "Greedy iteration 2 (n = 6): ω* = 3.382e+00 GHz (7.797e+00), error = 8.679e-04, memory = 1/2\n",
       " Field energy E (2.056e-10 J) + H (2.285e-10 J) = 4.341e-10 J\n",
       "\n",
       "  Residual norms for GMRES solve\n",
       "  0 (restart 0) KSP residual norm 3.325084e+01\n",
       "  1 (restart 0) KSP residual norm 8.126269e+00\n",
       "  2 (restart 0) KSP residual norm 1.072483e+00\n",
       "  3 (restart 0) KSP residual norm 1.187339e-01\n",
       "  4 (restart 0) KSP residual norm 4.373199e-02\n",
       "  5 (restart 0) KSP residual norm 5.132383e-03\n",
       "  6 (restart 0) KSP residual norm 1.089752e-03\n",
       "  7 (restart 0) KSP residual norm 2.524055e-04\n",
       "  8 (restart 0) KSP residual norm 6.242958e-05\n",
       "  9 (restart 0) KSP residual norm 1.888679e-05\n",
       " 10 (restart 0) KSP residual norm 4.302831e-06\n",
       " 11 (restart 0) KSP residual norm 1.710276e-06\n",
       " 12 (restart 0) KSP residual norm 4.625194e-07\n",
       " 13 (restart 0) KSP residual norm 1.819549e-07\n",
       "GMRES solver converged in 13 iterations (avg. reduction factor: 2.315e-01)\n",
       "\n",
       "Greedy iteration 3 (n = 8): ω* = 3.078e+00 GHz (7.096e+00), error = 2.178e-04, memory = 2/2\n",
       " Field energy E (3.563e-10 J) + H (4.072e-10 J) = 7.635e-10 J\n",
       "\n",
       "Adaptive sampling converged with 5 frequency samples:\n",
       " n = 10, error = 2.178e-04, tol = 1.000e-03, memory = 2/2\n",
       " Sampled frequencies (GHz): 3.000e+00, 3.500e+00, 3.223e+00, 3.382e+00,\n",
       "                            3.078e+00\n",
       " Sample errors: inf, inf, 9.172e-02, 8.679e-04, 2.178e-04\n",
       " Total offline phase elapsed time: 1.71e+03 s\n",
       "\n",
       "Beginning fast frequency sweep online phase\n",
       "\n",
       "It 1/101: ω/2π = 3.000e+00 GHz (total elapsed time = 1.71e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.709084e+01\n",
       " Field energy E (4.271e-10 J) + H (4.742e-10 J) = 9.013e-10 J\n",
       " S[1][1] = -4.250e-01+8.885e-01i, |S[1][1]| = -1.319e-01, arg(S[1][1]) = +1.156e+02\n",
       "\n",
       "It 2/101: ω/2π = 3.005e+00 GHz (total elapsed time = 1.71e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.680512e+01\n",
       " Field energy E (4.224e-10 J) + H (4.701e-10 J) = 8.926e-10 J\n",
       " S[1][1] = -3.995e-01+9.003e-01i, |S[1][1]| = -1.311e-01, arg(S[1][1]) = +1.139e+02\n",
       "\n",
       "It 3/101: ω/2π = 3.010e+00 GHz (total elapsed time = 1.71e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.651782e+01\n",
       " Field energy E (4.178e-10 J) + H (4.660e-10 J) = 8.838e-10 J\n",
       " S[1][1] = -3.740e-01+9.114e-01i, |S[1][1]| = -1.303e-01, arg(S[1][1]) = +1.123e+02\n",
       "\n",
       "It 4/101: ω/2π = 3.015e+00 GHz (total elapsed time = 1.71e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.622921e+01\n",
       " Field energy E (4.131e-10 J) + H (4.618e-10 J) = 8.749e-10 J\n",
       " S[1][1] = -3.484e-01+9.216e-01i, |S[1][1]| = -1.295e-01, arg(S[1][1]) = +1.107e+02\n",
       "\n",
       "It 5/101: ω/2π = 3.020e+00 GHz (total elapsed time = 1.71e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.593961e+01\n",
       " Field energy E (4.085e-10 J) + H (4.575e-10 J) = 8.660e-10 J\n",
       " S[1][1] = -3.228e-01+9.309e-01i, |S[1][1]| = -1.287e-01, arg(S[1][1]) = +1.091e+02\n",
       "\n",
       "It 6/101: ω/2π = 3.025e+00 GHz (total elapsed time = 1.71e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.564928e+01\n",
       " Field energy E (4.038e-10 J) + H (4.533e-10 J) = 8.571e-10 J\n",
       " S[1][1] = -2.972e-01+9.395e-01i, |S[1][1]| = -1.278e-01, arg(S[1][1]) = +1.076e+02\n",
       "\n",
       "It 7/101: ω/2π = 3.030e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.535852e+01\n",
       " Field energy E (3.992e-10 J) + H (4.490e-10 J) = 8.482e-10 J\n",
       " S[1][1] = -2.716e-01+9.473e-01i, |S[1][1]| = -1.270e-01, arg(S[1][1]) = +1.060e+02\n",
       "\n",
       "It 8/101: ω/2π = 3.035e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.506757e+01\n",
       " Field energy E (3.946e-10 J) + H (4.446e-10 J) = 8.392e-10 J\n",
       " S[1][1] = -2.461e-01+9.544e-01i, |S[1][1]| = -1.262e-01, arg(S[1][1]) = +1.045e+02\n",
       "\n",
       "It 9/101: ω/2π = 3.040e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.477669e+01\n",
       " Field energy E (3.900e-10 J) + H (4.403e-10 J) = 8.303e-10 J\n",
       " S[1][1] = -2.207e-01+9.606e-01i, |S[1][1]| = -1.253e-01, arg(S[1][1]) = +1.029e+02\n",
       "\n",
       "It 10/101: ω/2π = 3.045e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.448614e+01\n",
       " Field energy E (3.854e-10 J) + H (4.359e-10 J) = 8.214e-10 J\n",
       " S[1][1] = -1.955e-01+9.662e-01i, |S[1][1]| = -1.245e-01, arg(S[1][1]) = +1.014e+02\n",
       "\n",
       "It 11/101: ω/2π = 3.050e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.419614e+01\n",
       " Field energy E (3.809e-10 J) + H (4.316e-10 J) = 8.125e-10 J\n",
       " S[1][1] = -1.703e-01+9.710e-01i, |S[1][1]| = -1.236e-01, arg(S[1][1]) = +9.995e+01\n",
       "\n",
       "It 12/101: ω/2π = 3.055e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.390691e+01\n",
       " Field energy E (3.764e-10 J) + H (4.272e-10 J) = 8.036e-10 J\n",
       " S[1][1] = -1.454e-01+9.752e-01i, |S[1][1]| = -1.228e-01, arg(S[1][1]) = +9.848e+01\n",
       "\n",
       "It 13/101: ω/2π = 3.060e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.361867e+01\n",
       " Field energy E (3.719e-10 J) + H (4.228e-10 J) = 7.948e-10 J\n",
       " S[1][1] = -1.206e-01+9.787e-01i, |S[1][1]| = -1.219e-01, arg(S[1][1]) = +9.702e+01\n",
       "\n",
       "It 14/101: ω/2π = 3.065e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.333163e+01\n",
       " Field energy E (3.675e-10 J) + H (4.185e-10 J) = 7.860e-10 J\n",
       " S[1][1] = -9.596e-02+9.815e-01i, |S[1][1]| = -1.211e-01, arg(S[1][1]) = +9.558e+01\n",
       "\n",
       "It 15/101: ω/2π = 3.070e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.304598e+01\n",
       " Field energy E (3.631e-10 J) + H (4.141e-10 J) = 7.773e-10 J\n",
       " S[1][1] = -7.157e-02+9.837e-01i, |S[1][1]| = -1.202e-01, arg(S[1][1]) = +9.416e+01\n",
       "\n",
       "It 16/101: ω/2π = 3.075e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.276190e+01\n",
       " Field energy E (3.588e-10 J) + H (4.098e-10 J) = 7.686e-10 J\n",
       " S[1][1] = -4.740e-02+9.852e-01i, |S[1][1]| = -1.194e-01, arg(S[1][1]) = +9.275e+01\n",
       "\n",
       "It 17/101: ω/2π = 3.080e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.247956e+01\n",
       " Field energy E (3.545e-10 J) + H (4.055e-10 J) = 7.600e-10 J\n",
       " S[1][1] = -2.348e-02+9.862e-01i, |S[1][1]| = -1.186e-01, arg(S[1][1]) = +9.136e+01\n",
       "\n",
       "It 18/101: ω/2π = 3.085e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.219914e+01\n",
       " Field energy E (3.503e-10 J) + H (4.012e-10 J) = 7.515e-10 J\n",
       " S[1][1] = +1.970e-04+9.865e-01i, |S[1][1]| = -1.177e-01, arg(S[1][1]) = +8.999e+01\n",
       "\n",
       "It 19/101: ω/2π = 3.090e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.192079e+01\n",
       " Field energy E (3.461e-10 J) + H (3.969e-10 J) = 7.430e-10 J\n",
       " S[1][1] = +2.361e-02+9.863e-01i, |S[1][1]| = -1.169e-01, arg(S[1][1]) = +8.863e+01\n",
       "\n",
       "It 20/101: ω/2π = 3.095e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.164465e+01\n",
       " Field energy E (3.420e-10 J) + H (3.927e-10 J) = 7.347e-10 J\n",
       " S[1][1] = +4.674e-02+9.856e-01i, |S[1][1]| = -1.161e-01, arg(S[1][1]) = +8.728e+01\n",
       "\n",
       "It 21/101: ω/2π = 3.100e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.137086e+01\n",
       " Field energy E (3.379e-10 J) + H (3.885e-10 J) = 7.264e-10 J\n",
       " S[1][1] = +6.959e-02+9.844e-01i, |S[1][1]| = -1.153e-01, arg(S[1][1]) = +8.596e+01\n",
       "\n",
       "It 22/101: ω/2π = 3.105e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.109955e+01\n",
       " Field energy E (3.339e-10 J) + H (3.843e-10 J) = 7.182e-10 J\n",
       " S[1][1] = +9.215e-02+9.826e-01i, |S[1][1]| = -1.145e-01, arg(S[1][1]) = +8.464e+01\n",
       "\n",
       "It 23/101: ω/2π = 3.110e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.083084e+01\n",
       " Field energy E (3.300e-10 J) + H (3.802e-10 J) = 7.101e-10 J\n",
       " S[1][1] = +1.144e-01+9.803e-01i, |S[1][1]| = -1.137e-01, arg(S[1][1]) = +8.334e+01\n",
       "\n",
       "It 24/101: ω/2π = 3.115e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.056485e+01\n",
       " Field energy E (3.261e-10 J) + H (3.760e-10 J) = 7.021e-10 J\n",
       " S[1][1] = +1.364e-01+9.776e-01i, |S[1][1]| = -1.129e-01, arg(S[1][1]) = +8.206e+01\n",
       "\n",
       "It 25/101: ω/2π = 3.120e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.030168e+01\n",
       " Field energy E (3.223e-10 J) + H (3.720e-10 J) = 6.943e-10 J\n",
       " S[1][1] = +1.580e-01+9.744e-01i, |S[1][1]| = -1.121e-01, arg(S[1][1]) = +8.079e+01\n",
       "\n",
       "It 26/101: ω/2π = 3.125e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 4.004142e+01\n",
       " Field energy E (3.185e-10 J) + H (3.680e-10 J) = 6.865e-10 J\n",
       " S[1][1] = +1.793e-01+9.708e-01i, |S[1][1]| = -1.114e-01, arg(S[1][1]) = +7.954e+01\n",
       "\n",
       "It 27/101: ω/2π = 3.130e+00 GHz (total elapsed time = 1.72e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.978417e+01\n",
       " Field energy E (3.148e-10 J) + H (3.640e-10 J) = 6.788e-10 J\n",
       " S[1][1] = +2.003e-01+9.668e-01i, |S[1][1]| = -1.106e-01, arg(S[1][1]) = +7.829e+01\n",
       "\n",
       "It 28/101: ω/2π = 3.135e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.953001e+01\n",
       " Field energy E (3.112e-10 J) + H (3.600e-10 J) = 6.712e-10 J\n",
       " S[1][1] = +2.210e-01+9.624e-01i, |S[1][1]| = -1.099e-01, arg(S[1][1]) = +7.707e+01\n",
       "\n",
       "It 29/101: ω/2π = 3.140e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.927902e+01\n",
       " Field energy E (3.076e-10 J) + H (3.562e-10 J) = 6.638e-10 J\n",
       " S[1][1] = +2.413e-01+9.576e-01i, |S[1][1]| = -1.092e-01, arg(S[1][1]) = +7.585e+01\n",
       "\n",
       "It 30/101: ω/2π = 3.145e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.903127e+01\n",
       " Field energy E (3.041e-10 J) + H (3.523e-10 J) = 6.564e-10 J\n",
       " S[1][1] = +2.613e-01+9.524e-01i, |S[1][1]| = -1.085e-01, arg(S[1][1]) = +7.466e+01\n",
       "\n",
       "It 31/101: ω/2π = 3.150e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.878681e+01\n",
       " Field energy E (3.007e-10 J) + H (3.485e-10 J) = 6.492e-10 J\n",
       " S[1][1] = +2.810e-01+9.468e-01i, |S[1][1]| = -1.078e-01, arg(S[1][1]) = +7.347e+01\n",
       "\n",
       "It 32/101: ω/2π = 3.155e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.854571e+01\n",
       " Field energy E (2.973e-10 J) + H (3.448e-10 J) = 6.421e-10 J\n",
       " S[1][1] = +3.004e-01+9.410e-01i, |S[1][1]| = -1.071e-01, arg(S[1][1]) = +7.230e+01\n",
       "\n",
       "It 33/101: ω/2π = 3.160e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.830803e+01\n",
       " Field energy E (2.940e-10 J) + H (3.411e-10 J) = 6.351e-10 J\n",
       " S[1][1] = +3.194e-01+9.348e-01i, |S[1][1]| = -1.064e-01, arg(S[1][1]) = +7.114e+01\n",
       "\n",
       "It 34/101: ω/2π = 3.165e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.807380e+01\n",
       " Field energy E (2.908e-10 J) + H (3.374e-10 J) = 6.282e-10 J\n",
       " S[1][1] = +3.381e-01+9.283e-01i, |S[1][1]| = -1.057e-01, arg(S[1][1]) = +6.999e+01\n",
       "\n",
       "It 35/101: ω/2π = 3.170e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.784307e+01\n",
       " Field energy E (2.876e-10 J) + H (3.338e-10 J) = 6.214e-10 J\n",
       " S[1][1] = +3.564e-01+9.215e-01i, |S[1][1]| = -1.051e-01, arg(S[1][1]) = +6.885e+01\n",
       "\n",
       "It 36/101: ω/2π = 3.175e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.761589e+01\n",
       " Field energy E (2.845e-10 J) + H (3.303e-10 J) = 6.148e-10 J\n",
       " S[1][1] = +3.744e-01+9.144e-01i, |S[1][1]| = -1.044e-01, arg(S[1][1]) = +6.773e+01\n",
       "\n",
       "It 37/101: ω/2π = 3.180e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.739227e+01\n",
       " Field energy E (2.814e-10 J) + H (3.268e-10 J) = 6.082e-10 J\n",
       " S[1][1] = +3.921e-01+9.070e-01i, |S[1][1]| = -1.038e-01, arg(S[1][1]) = +6.662e+01\n",
       "\n",
       "It 38/101: ω/2π = 3.185e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.717226e+01\n",
       " Field energy E (2.784e-10 J) + H (3.234e-10 J) = 6.018e-10 J\n",
       " S[1][1] = +4.094e-01+8.994e-01i, |S[1][1]| = -1.032e-01, arg(S[1][1]) = +6.552e+01\n",
       "\n",
       "It 39/101: ω/2π = 3.190e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.695587e+01\n",
       " Field energy E (2.755e-10 J) + H (3.200e-10 J) = 5.955e-10 J\n",
       " S[1][1] = +4.264e-01+8.915e-01i, |S[1][1]| = -1.026e-01, arg(S[1][1]) = +6.444e+01\n",
       "\n",
       "It 40/101: ω/2π = 3.195e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.674312e+01\n",
       " Field energy E (2.727e-10 J) + H (3.167e-10 J) = 5.893e-10 J\n",
       " S[1][1] = +4.431e-01+8.834e-01i, |S[1][1]| = -1.021e-01, arg(S[1][1]) = +6.336e+01\n",
       "\n",
       "It 41/101: ω/2π = 3.200e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.653404e+01\n",
       " Field energy E (2.699e-10 J) + H (3.134e-10 J) = 5.833e-10 J\n",
       " S[1][1] = +4.595e-01+8.751e-01i, |S[1][1]| = -1.015e-01, arg(S[1][1]) = +6.230e+01\n",
       "\n",
       "It 42/101: ω/2π = 3.205e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.632863e+01\n",
       " Field energy E (2.671e-10 J) + H (3.102e-10 J) = 5.773e-10 J\n",
       " S[1][1] = +4.755e-01+8.666e-01i, |S[1][1]| = -1.010e-01, arg(S[1][1]) = +6.124e+01\n",
       "\n",
       "It 43/101: ω/2π = 3.210e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.612692e+01\n",
       " Field energy E (2.645e-10 J) + H (3.070e-10 J) = 5.715e-10 J\n",
       " S[1][1] = +4.912e-01+8.578e-01i, |S[1][1]| = -1.004e-01, arg(S[1][1]) = +6.020e+01\n",
       "\n",
       "It 44/101: ω/2π = 3.215e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.592889e+01\n",
       " Field energy E (2.619e-10 J) + H (3.039e-10 J) = 5.657e-10 J\n",
       " S[1][1] = +5.066e-01+8.489e-01i, |S[1][1]| = -9.990e-02, arg(S[1][1]) = +5.917e+01\n",
       "\n",
       "It 45/101: ω/2π = 3.220e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.573457e+01\n",
       " Field energy E (2.593e-10 J) + H (3.008e-10 J) = 5.601e-10 J\n",
       " S[1][1] = +5.217e-01+8.398e-01i, |S[1][1]| = -9.940e-02, arg(S[1][1]) = +5.815e+01\n",
       "\n",
       "It 46/101: ω/2π = 3.225e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.554395e+01\n",
       " Field energy E (2.568e-10 J) + H (2.978e-10 J) = 5.547e-10 J\n",
       " S[1][1] = +5.365e-01+8.305e-01i, |S[1][1]| = -9.891e-02, arg(S[1][1]) = +5.714e+01\n",
       "\n",
       "It 47/101: ω/2π = 3.230e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.535703e+01\n",
       " Field energy E (2.544e-10 J) + H (2.949e-10 J) = 5.493e-10 J\n",
       " S[1][1] = +5.509e-01+8.210e-01i, |S[1][1]| = -9.844e-02, arg(S[1][1]) = +5.614e+01\n",
       "\n",
       "It 48/101: ω/2π = 3.235e+00 GHz (total elapsed time = 1.73e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.517381e+01\n",
       " Field energy E (2.520e-10 J) + H (2.920e-10 J) = 5.440e-10 J\n",
       " S[1][1] = +5.651e-01+8.114e-01i, |S[1][1]| = -9.798e-02, arg(S[1][1]) = +5.515e+01\n",
       "\n",
       "It 49/101: ω/2π = 3.240e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.499429e+01\n",
       " Field energy E (2.497e-10 J) + H (2.891e-10 J) = 5.389e-10 J\n",
       " S[1][1] = +5.789e-01+8.016e-01i, |S[1][1]| = -9.754e-02, arg(S[1][1]) = +5.416e+01\n",
       "\n",
       "It 50/101: ω/2π = 3.245e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.481845e+01\n",
       " Field energy E (2.475e-10 J) + H (2.863e-10 J) = 5.338e-10 J\n",
       " S[1][1] = +5.925e-01+7.917e-01i, |S[1][1]| = -9.711e-02, arg(S[1][1]) = +5.319e+01\n",
       "\n",
       "It 51/101: ω/2π = 3.250e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.464630e+01\n",
       " Field energy E (2.453e-10 J) + H (2.836e-10 J) = 5.289e-10 J\n",
       " S[1][1] = +6.057e-01+7.817e-01i, |S[1][1]| = -9.670e-02, arg(S[1][1]) = +5.223e+01\n",
       "\n",
       "It 52/101: ω/2π = 3.255e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.447781e+01\n",
       " Field energy E (2.432e-10 J) + H (2.809e-10 J) = 5.241e-10 J\n",
       " S[1][1] = +6.187e-01+7.715e-01i, |S[1][1]| = -9.630e-02, arg(S[1][1]) = +5.127e+01\n",
       "\n",
       "It 53/101: ω/2π = 3.260e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.431298e+01\n",
       " Field energy E (2.411e-10 J) + H (2.782e-10 J) = 5.193e-10 J\n",
       " S[1][1] = +6.314e-01+7.613e-01i, |S[1][1]| = -9.591e-02, arg(S[1][1]) = +5.033e+01\n",
       "\n",
       "It 54/101: ω/2π = 3.265e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.415179e+01\n",
       " Field energy E (2.391e-10 J) + H (2.757e-10 J) = 5.147e-10 J\n",
       " S[1][1] = +6.438e-01+7.509e-01i, |S[1][1]| = -9.554e-02, arg(S[1][1]) = +4.939e+01\n",
       "\n",
       "It 55/101: ω/2π = 3.270e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.399424e+01\n",
       " Field energy E (2.371e-10 J) + H (2.731e-10 J) = 5.102e-10 J\n",
       " S[1][1] = +6.559e-01+7.403e-01i, |S[1][1]| = -9.519e-02, arg(S[1][1]) = +4.846e+01\n",
       "\n",
       "It 56/101: ω/2π = 3.275e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.384030e+01\n",
       " Field energy E (2.352e-10 J) + H (2.706e-10 J) = 5.058e-10 J\n",
       " S[1][1] = +6.677e-01+7.297e-01i, |S[1][1]| = -9.485e-02, arg(S[1][1]) = +4.754e+01\n",
       "\n",
       "It 57/101: ω/2π = 3.280e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.368996e+01\n",
       " Field energy E (2.333e-10 J) + H (2.682e-10 J) = 5.015e-10 J\n",
       " S[1][1] = +6.793e-01+7.190e-01i, |S[1][1]| = -9.452e-02, arg(S[1][1]) = +4.663e+01\n",
       "\n",
       "It 58/101: ω/2π = 3.285e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.354319e+01\n",
       " Field energy E (2.315e-10 J) + H (2.658e-10 J) = 4.973e-10 J\n",
       " S[1][1] = +6.906e-01+7.082e-01i, |S[1][1]| = -9.421e-02, arg(S[1][1]) = +4.572e+01\n",
       "\n",
       "It 59/101: ω/2π = 3.290e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.339999e+01\n",
       " Field energy E (2.297e-10 J) + H (2.635e-10 J) = 4.932e-10 J\n",
       " S[1][1] = +7.016e-01+6.974e-01i, |S[1][1]| = -9.391e-02, arg(S[1][1]) = +4.482e+01\n",
       "\n",
       "It 60/101: ω/2π = 3.295e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.326033e+01\n",
       " Field energy E (2.280e-10 J) + H (2.612e-10 J) = 4.892e-10 J\n",
       " S[1][1] = +7.124e-01+6.864e-01i, |S[1][1]| = -9.363e-02, arg(S[1][1]) = +4.393e+01\n",
       "\n",
       "It 61/101: ω/2π = 3.300e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.312419e+01\n",
       " Field energy E (2.264e-10 J) + H (2.589e-10 J) = 4.853e-10 J\n",
       " S[1][1] = +7.229e-01+6.754e-01i, |S[1][1]| = -9.336e-02, arg(S[1][1]) = +4.305e+01\n",
       "\n",
       "It 62/101: ω/2π = 3.305e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.299155e+01\n",
       " Field energy E (2.247e-10 J) + H (2.567e-10 J) = 4.815e-10 J\n",
       " S[1][1] = +7.332e-01+6.643e-01i, |S[1][1]| = -9.311e-02, arg(S[1][1]) = +4.218e+01\n",
       "\n",
       "It 63/101: ω/2π = 3.310e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.286239e+01\n",
       " Field energy E (2.232e-10 J) + H (2.546e-10 J) = 4.778e-10 J\n",
       " S[1][1] = +7.432e-01+6.531e-01i, |S[1][1]| = -9.287e-02, arg(S[1][1]) = +4.131e+01\n",
       "\n",
       "It 64/101: ω/2π = 3.315e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.273669e+01\n",
       " Field energy E (2.217e-10 J) + H (2.525e-10 J) = 4.742e-10 J\n",
       " S[1][1] = +7.530e-01+6.418e-01i, |S[1][1]| = -9.264e-02, arg(S[1][1]) = +4.044e+01\n",
       "\n",
       "It 65/101: ω/2π = 3.320e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.261442e+01\n",
       " Field energy E (2.202e-10 J) + H (2.504e-10 J) = 4.706e-10 J\n",
       " S[1][1] = +7.625e-01+6.305e-01i, |S[1][1]| = -9.243e-02, arg(S[1][1]) = +3.959e+01\n",
       "\n",
       "It 66/101: ω/2π = 3.325e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.249556e+01\n",
       " Field energy E (2.188e-10 J) + H (2.484e-10 J) = 4.672e-10 J\n",
       " S[1][1] = +7.718e-01+6.192e-01i, |S[1][1]| = -9.223e-02, arg(S[1][1]) = +3.874e+01\n",
       "\n",
       "It 67/101: ω/2π = 3.330e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.238010e+01\n",
       " Field energy E (2.174e-10 J) + H (2.465e-10 J) = 4.639e-10 J\n",
       " S[1][1] = +7.808e-01+6.078e-01i, |S[1][1]| = -9.205e-02, arg(S[1][1]) = +3.790e+01\n",
       "\n",
       "It 68/101: ω/2π = 3.335e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.226799e+01\n",
       " Field energy E (2.161e-10 J) + H (2.445e-10 J) = 4.606e-10 J\n",
       " S[1][1] = +7.896e-01+5.963e-01i, |S[1][1]| = -9.188e-02, arg(S[1][1]) = +3.706e+01\n",
       "\n",
       "It 69/101: ω/2π = 3.340e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.215923e+01\n",
       " Field energy E (2.148e-10 J) + H (2.427e-10 J) = 4.574e-10 J\n",
       " S[1][1] = +7.982e-01+5.848e-01i, |S[1][1]| = -9.172e-02, arg(S[1][1]) = +3.623e+01\n",
       "\n",
       "It 70/101: ω/2π = 3.345e+00 GHz (total elapsed time = 1.74e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.205378e+01\n",
       " Field energy E (2.135e-10 J) + H (2.408e-10 J) = 4.544e-10 J\n",
       " S[1][1] = +8.066e-01+5.732e-01i, |S[1][1]| = -9.158e-02, arg(S[1][1]) = +3.540e+01\n",
       "\n",
       "It 71/101: ω/2π = 3.350e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.195163e+01\n",
       " Field energy E (2.123e-10 J) + H (2.390e-10 J) = 4.514e-10 J\n",
       " S[1][1] = +8.147e-01+5.616e-01i, |S[1][1]| = -9.145e-02, arg(S[1][1]) = +3.458e+01\n",
       "\n",
       "It 72/101: ω/2π = 3.355e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.185275e+01\n",
       " Field energy E (2.112e-10 J) + H (2.373e-10 J) = 4.485e-10 J\n",
       " S[1][1] = +8.226e-01+5.500e-01i, |S[1][1]| = -9.134e-02, arg(S[1][1]) = +3.377e+01\n",
       "\n",
       "It 73/101: ω/2π = 3.360e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.175712e+01\n",
       " Field energy E (2.101e-10 J) + H (2.356e-10 J) = 4.456e-10 J\n",
       " S[1][1] = +8.303e-01+5.383e-01i, |S[1][1]| = -9.124e-02, arg(S[1][1]) = +3.296e+01\n",
       "\n",
       "It 74/101: ω/2π = 3.365e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.166471e+01\n",
       " Field energy E (2.090e-10 J) + H (2.339e-10 J) = 4.429e-10 J\n",
       " S[1][1] = +8.378e-01+5.266e-01i, |S[1][1]| = -9.115e-02, arg(S[1][1]) = +3.215e+01\n",
       "\n",
       "It 75/101: ω/2π = 3.370e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.157549e+01\n",
       " Field energy E (2.080e-10 J) + H (2.323e-10 J) = 4.403e-10 J\n",
       " S[1][1] = +8.451e-01+5.149e-01i, |S[1][1]| = -9.107e-02, arg(S[1][1]) = +3.135e+01\n",
       "\n",
       "It 76/101: ω/2π = 3.375e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.148946e+01\n",
       " Field energy E (2.070e-10 J) + H (2.307e-10 J) = 4.377e-10 J\n",
       " S[1][1] = +8.521e-01+5.031e-01i, |S[1][1]| = -9.101e-02, arg(S[1][1]) = +3.056e+01\n",
       "\n",
       "It 77/101: ω/2π = 3.380e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.140657e+01\n",
       " Field energy E (2.060e-10 J) + H (2.292e-10 J) = 4.352e-10 J\n",
       " S[1][1] = +8.590e-01+4.913e-01i, |S[1][1]| = -9.097e-02, arg(S[1][1]) = +2.977e+01\n",
       "\n",
       "It 78/101: ω/2π = 3.385e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.132681e+01\n",
       " Field energy E (2.051e-10 J) + H (2.277e-10 J) = 4.328e-10 J\n",
       " S[1][1] = +8.656e-01+4.795e-01i, |S[1][1]| = -9.094e-02, arg(S[1][1]) = +2.898e+01\n",
       "\n",
       "It 79/101: ω/2π = 3.390e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.125015e+01\n",
       " Field energy E (2.042e-10 J) + H (2.262e-10 J) = 4.304e-10 J\n",
       " S[1][1] = +8.721e-01+4.677e-01i, |S[1][1]| = -9.092e-02, arg(S[1][1]) = +2.820e+01\n",
       "\n",
       "It 80/101: ω/2π = 3.395e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.117658e+01\n",
       " Field energy E (2.034e-10 J) + H (2.248e-10 J) = 4.282e-10 J\n",
       " S[1][1] = +8.784e-01+4.558e-01i, |S[1][1]| = -9.091e-02, arg(S[1][1]) = +2.743e+01\n",
       "\n",
       "It 81/101: ω/2π = 3.400e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.110606e+01\n",
       " Field energy E (2.026e-10 J) + H (2.234e-10 J) = 4.260e-10 J\n",
       " S[1][1] = +8.844e-01+4.439e-01i, |S[1][1]| = -9.092e-02, arg(S[1][1]) = +2.665e+01\n",
       "\n",
       "It 82/101: ω/2π = 3.405e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.103858e+01\n",
       " Field energy E (2.018e-10 J) + H (2.220e-10 J) = 4.239e-10 J\n",
       " S[1][1] = +8.903e-01+4.320e-01i, |S[1][1]| = -9.094e-02, arg(S[1][1]) = +2.588e+01\n",
       "\n",
       "It 83/101: ω/2π = 3.410e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.097411e+01\n",
       " Field energy E (2.011e-10 J) + H (2.207e-10 J) = 4.219e-10 J\n",
       " S[1][1] = +8.960e-01+4.201e-01i, |S[1][1]| = -9.097e-02, arg(S[1][1]) = +2.512e+01\n",
       "\n",
       "It 84/101: ω/2π = 3.415e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.091264e+01\n",
       " Field energy E (2.004e-10 J) + H (2.195e-10 J) = 4.199e-10 J\n",
       " S[1][1] = +9.015e-01+4.081e-01i, |S[1][1]| = -9.102e-02, arg(S[1][1]) = +2.436e+01\n",
       "\n",
       "It 85/101: ω/2π = 3.420e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.085413e+01\n",
       " Field energy E (1.998e-10 J) + H (2.182e-10 J) = 4.180e-10 J\n",
       " S[1][1] = +9.068e-01+3.962e-01i, |S[1][1]| = -9.108e-02, arg(S[1][1]) = +2.360e+01\n",
       "\n",
       "It 86/101: ω/2π = 3.425e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.079858e+01\n",
       " Field energy E (1.992e-10 J) + H (2.170e-10 J) = 4.162e-10 J\n",
       " S[1][1] = +9.119e-01+3.842e-01i, |S[1][1]| = -9.116e-02, arg(S[1][1]) = +2.284e+01\n",
       "\n",
       "It 87/101: ω/2π = 3.430e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.074595e+01\n",
       " Field energy E (1.986e-10 J) + H (2.159e-10 J) = 4.145e-10 J\n",
       " S[1][1] = +9.169e-01+3.722e-01i, |S[1][1]| = -9.124e-02, arg(S[1][1]) = +2.209e+01\n",
       "\n",
       "It 88/101: ω/2π = 3.435e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.069623e+01\n",
       " Field energy E (1.981e-10 J) + H (2.147e-10 J) = 4.128e-10 J\n",
       " S[1][1] = +9.217e-01+3.602e-01i, |S[1][1]| = -9.135e-02, arg(S[1][1]) = +2.134e+01\n",
       "\n",
       "It 89/101: ω/2π = 3.440e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.064940e+01\n",
       " Field energy E (1.975e-10 J) + H (2.136e-10 J) = 4.112e-10 J\n",
       " S[1][1] = +9.263e-01+3.481e-01i, |S[1][1]| = -9.146e-02, arg(S[1][1]) = +2.060e+01\n",
       "\n",
       "It 90/101: ω/2π = 3.445e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.060543e+01\n",
       " Field energy E (1.971e-10 J) + H (2.126e-10 J) = 4.097e-10 J\n",
       " S[1][1] = +9.307e-01+3.361e-01i, |S[1][1]| = -9.159e-02, arg(S[1][1]) = +1.986e+01\n",
       "\n",
       "It 91/101: ω/2π = 3.450e+00 GHz (total elapsed time = 1.75e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.056431e+01\n",
       " Field energy E (1.966e-10 J) + H (2.116e-10 J) = 4.082e-10 J\n",
       " S[1][1] = +9.349e-01+3.240e-01i, |S[1][1]| = -9.173e-02, arg(S[1][1]) = +1.912e+01\n",
       "\n",
       "It 92/101: ω/2π = 3.455e+00 GHz (total elapsed time = 1.76e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.052602e+01\n",
       " Field energy E (1.962e-10 J) + H (2.106e-10 J) = 4.068e-10 J\n",
       " S[1][1] = +9.390e-01+3.120e-01i, |S[1][1]| = -9.189e-02, arg(S[1][1]) = +1.838e+01\n",
       "\n",
       "It 93/101: ω/2π = 3.460e+00 GHz (total elapsed time = 1.76e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.049054e+01\n",
       " Field energy E (1.958e-10 J) + H (2.096e-10 J) = 4.055e-10 J\n",
       " S[1][1] = +9.429e-01+2.999e-01i, |S[1][1]| = -9.206e-02, arg(S[1][1]) = +1.764e+01\n",
       "\n",
       "It 94/101: ω/2π = 3.465e+00 GHz (total elapsed time = 1.76e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.045785e+01\n",
       " Field energy E (1.955e-10 J) + H (2.087e-10 J) = 4.042e-10 J\n",
       " S[1][1] = +9.466e-01+2.878e-01i, |S[1][1]| = -9.224e-02, arg(S[1][1]) = +1.691e+01\n",
       "\n",
       "It 95/101: ω/2π = 3.470e+00 GHz (total elapsed time = 1.76e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.042793e+01\n",
       " Field energy E (1.952e-10 J) + H (2.078e-10 J) = 4.030e-10 J\n",
       " S[1][1] = +9.502e-01+2.757e-01i, |S[1][1]| = -9.243e-02, arg(S[1][1]) = +1.618e+01\n",
       "\n",
       "It 96/101: ω/2π = 3.475e+00 GHz (total elapsed time = 1.76e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.040077e+01\n",
       " Field energy E (1.949e-10 J) + H (2.070e-10 J) = 4.019e-10 J\n",
       " S[1][1] = +9.536e-01+2.636e-01i, |S[1][1]| = -9.264e-02, arg(S[1][1]) = +1.545e+01\n",
       "\n",
       "It 97/101: ω/2π = 3.480e+00 GHz (total elapsed time = 1.76e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.037636e+01\n",
       " Field energy E (1.947e-10 J) + H (2.062e-10 J) = 4.009e-10 J\n",
       " S[1][1] = +9.569e-01+2.515e-01i, |S[1][1]| = -9.287e-02, arg(S[1][1]) = +1.473e+01\n",
       "\n",
       "It 98/101: ω/2π = 3.485e+00 GHz (total elapsed time = 1.76e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.035466e+01\n",
       " Field energy E (1.945e-10 J) + H (2.054e-10 J) = 3.999e-10 J\n",
       " S[1][1] = +9.599e-01+2.394e-01i, |S[1][1]| = -9.311e-02, arg(S[1][1]) = +1.400e+01\n",
       "\n",
       "It 99/101: ω/2π = 3.490e+00 GHz (total elapsed time = 1.76e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.033568e+01\n",
       " Field energy E (1.943e-10 J) + H (2.047e-10 J) = 3.990e-10 J\n",
       " S[1][1] = +9.629e-01+2.273e-01i, |S[1][1]| = -9.336e-02, arg(S[1][1]) = +1.328e+01\n",
       "\n",
       "It 100/101: ω/2π = 3.495e+00 GHz (total elapsed time = 1.76e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.031938e+01\n",
       " Field energy E (1.942e-10 J) + H (2.039e-10 J) = 3.981e-10 J\n",
       " S[1][1] = +9.656e-01+2.151e-01i, |S[1][1]| = -9.362e-02, arg(S[1][1]) = +1.256e+01\n",
       "\n",
       "It 101/101: ω/2π = 3.500e+00 GHz (total elapsed time = 1.76e+03 s)\n",
       "\n",
       " Sol. ||E|| = 3.030577e+01\n",
       " Field energy E (1.940e-10 J) + H (2.033e-10 J) = 3.973e-10 J\n",
       " S[1][1] = +9.682e-01+2.030e-01i, |S[1][1]| = -9.390e-02, arg(S[1][1]) = +1.184e+01\n",
       "\n",
       "Completed 0 iterations of adaptive mesh refinement (AMR):\n",
       " Indicator norm = 2.607e-01, global unknowns = 998868\n",
       " Max. iterations = 0, tol. = 1.000e-02\n",
       "\n",
       "Estimated peak per-rank memory usage is: Min. 13.2G, Max. 13.2G, Avg. 13.2G, Total 13.2G\n",
       "Estimated peak per-node memory usage is: Min. 13.2G, Max. 13.2G, Avg. 13.2G, Total 13.2G\n",
       "\n",
       "Elapsed Time Report (s)           Min.        Max.        Avg.\n",
       "==============================================================\n",
       "Initialization                   0.625       0.625       0.625\n",
       "  Mesh Preprocessing             4.735       4.735       4.735\n",
       "Operator Construction            1.704       1.704       1.704\n",
       "  Wave Ports                     0.000       0.000       0.000\n",
       "Linear Solve                    47.478      47.478      47.478\n",
       "  Setup                        331.506     331.506     331.506\n",
       "  Preconditioner               646.099     646.099     646.099\n",
       "  Coarse Solve                 506.385     506.385     506.385\n",
       "PROM Construction                4.275       4.275       4.275\n",
       "PROM Solve                       0.794       0.794       0.794\n",
       "Estimation                       1.941       1.941       1.941\n",
       "  Construction                  20.541      20.541      20.541\n",
       "  Solve                        171.636     171.636     171.636\n",
       "Postprocessing                  49.320      49.320      49.320\n",
       "Disk IO                          0.800       0.800       0.800\n",
       "--------------------------------------------------------------\n",
       "Total                         1788.109    1788.109    1788.109\n",
       "\n",
       "Peak Memory                   Per-Node       Total   Total HWM\n",
       "==============================================================\n",
       "Initialization                    2.5M        2.5M        2.5M\n",
       "  Mesh Preprocessing             82.5M       82.5M       85.0M\n",
       "Operator Construction           356.8M      356.8M      441.8M\n",
       "  Wave Ports                      0.0K        0.0K      441.8M\n",
       "Linear Solve                      0.0K        0.0K      441.8M\n",
       "  Setup                           2.7G        2.7G        3.2G\n",
       "  Preconditioner                  0.0K        0.0K        3.2G\n",
       "  Coarse Solve                    9.0G        9.0G       12.2G\n",
       "PROM Construction                 0.0K        0.0K       12.2G\n",
       "PROM Solve                        0.0K        0.0K       12.2G\n",
       "Estimation                        0.0K        0.0K       12.2G\n",
       "  Construction                  941.4M      941.4M       13.1G\n",
       "  Solve                           0.0K        0.0K       13.1G\n",
       "Postprocessing                    0.0K        0.0K       13.1G\n",
       "Disk IO                          51.1M       51.1M       13.2G\n",
       "--------------------------------------------------------------\n",
       "Total                            13.2G       13.2G       13.2G</pre></details>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def attr(name):\n",
    "        return [pg_map[name]] if name in pg_map else []\n",
    "\n",
    "sim = Simulation(output_dir=os.getcwd(), apply_mesh_options=False)\n",
    "sim.config = {\n",
    "    \"Problem\": {\n",
    "        \"Type\": \"Driven\",\n",
    "        \"Verbose\": 2,\n",
    "        \"Output\": \"postpro/sw_antenna\"\n",
    "    },\n",
    "\n",
    "    \"Model\": {\n",
    "        \"Mesh\": filename,\n",
    "        \"L0\": 1.0,\n",
    "        \"Refinement\": {}\n",
    "    },\n",
    "\n",
    "    \"Domains\": {\n",
    "        \"Materials\": [\n",
    "            {\n",
    "                \"Attributes\": attr(\"substrate\"),\n",
    "                \"Permittivity\": eps_r,\n",
    "                \"Permeability\": 1.0,\n",
    "                \"LossTan\": loss_tan\n",
    "            },\n",
    "            {\n",
    "                \"Attributes\": attr(\"air_sphere\"),\n",
    "                \"Permittivity\": 1.0,\n",
    "                \"Permeability\": 1.0\n",
    "            }\n",
    "        ]\n",
    "    },\n",
    "\n",
    "    \"Boundaries\": {\n",
    "        \"PEC\": {\n",
    "            \"Attributes\": attr(\"ground_plane\") + attr(\"top_conductor\")\n",
    "        },\n",
    "\n",
    "        \"LumpedPort\": [\n",
    "            {\n",
    "                \"Index\": 1,\n",
    "                \"Attributes\": attr(\"lumped_port\"),\n",
    "                \"R\": port_impedance,\n",
    "                \"Excitation\": True,\n",
    "                \"Direction\": \"+Z\"\n",
    "            }\n",
    "        ],\n",
    "\n",
    "        \"Absorbing\": {\n",
    "            \"Attributes\": attr(\"air_sphere__None\"),\n",
    "            \"Order\": 1\n",
    "        }\n",
    "    },\n",
    "\n",
    "    \"Solver\": {\n",
    "        \"Order\": solver_order,\n",
    "        \"Device\": \"CPU\",\n",
    "\n",
    "        \"Driven\": {\n",
    "            \"MinFreq\": freq_min,\n",
    "            \"MaxFreq\": freq_max,\n",
    "            \"FreqStep\": freq_step,\n",
    "            \"AdaptiveTol\": 0.001\n",
    "        },\n",
    "\n",
    "        \"Linear\": {\n",
    "            \"Type\": \"Default\",\n",
    "            \"KSPType\": \"GMRES\",\n",
    "            \"Tol\": 1.0e-8,\n",
    "            \"MaxIts\": 200,\n",
    "            \"ComplexCoarseSolve\": True\n",
    "        }\n",
    "    }\n",
    "}\n",
    "\n",
    "config_path = str(sim.write_config(output_file))\n",
    "run_palace(config_path, num_procs=8, work_dir=os.getcwd())"
   ]
  }
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