{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Waveguide crossing based on cosine tapers\n",
        "\n",
        "To achieve a high integration density on a photonic chip, efficient\n",
        "routing of light with low loss using compact junctions is necessary.\n",
        "Therefore, waveguide crossings are crucial building blocks in high\n",
        "performance integrated circuits.\n",
        "\n",
        "This example model demonstrates the simulation of a waveguide crossing\n",
        "based on cosine tapers. The convex cosine taper focuses the guided mode\n",
        "at the center of the crossing junction. This ensures the light is\n",
        "efficiently transmitted into the through port instead of scattered into\n",
        "the cross ports. The device achieves an insertion loss of ~0.2 dB and\n",
        "crosstalk ~-30 dB in the O-band (1260 nm -1360 nm). The design is\n",
        "adapted from [Sujith Chandran, et al. “Beam shaping for ultra-compact\n",
        "waveguide crossings on monolithic silicon photonics platform,” Opt.\n",
        "Lett. 45, 6230-6233\n",
        "(2020)](https://opg.optica.org/ol/abstract.cfm?uri=ol-45-22-6230).\n",
        "\n",
        "<img src=\"img/waveguide_crossing.png\" width=600 alt=\"Schematic of the waveguide crossing\">\n",
        "\n",
        "If you are new to the finite-difference time-domain (FDTD) method, we\n",
        "highly recommend going through our\n",
        "[FDTD101](https://www.flexcompute.com/fdtd101/) tutorials. For more\n",
        "simulation examples, please visit our [examples\n",
        "page](https://www.flexcompute.com/tidy3d/examples/). FDTD simulations\n",
        "can diverge due to various reasons. If you run into any simulation\n",
        "divergence issues, please follow the steps outlined in our\n",
        "[troubleshooting\n",
        "guide](https://www.flexcompute.com/tidy3d/examples/notebooks/DivergedFDTDSimulation/)\n",
        "to resolve it."
      ],
      "id": "f58f46b8-99eb-4e4b-a96d-d39e4c37b183"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web\n",
        "from scipy.optimize import fsolve"
      ],
      "id": "fb3dab9b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Simulation Setup\n",
        "\n",
        "Define geometric parameters and materials. In this device, the Si\n",
        "waveguide has a thickness of 161 nm and a width of 350 nm."
      ],
      "id": "966b910f-01d0-4694-91aa-709489623e48"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "h = 0.161  # waveguide thickness\n",
        "w_in = 0.35  # input taper width\n",
        "w_out = 1.1  # output taper width\n",
        "w_m = 0.75  # amplitude of the cos function\n",
        "l_t = 5.3  # taper length\n",
        "inf_eff = 1000  # effective infinity used to make sure the waveguides extend into the pml"
      ],
      "id": "32845266"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "si = td.Medium(permittivity=3.67**2)\n",
        "sio2 = td.Medium(permittivity=1.45**2)"
      ],
      "id": "ef92a86e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The taper width is described by a cosine function $w(x)=w_m cos(ax+b)$.\n",
        "To determine the parameters $a$ and $b$, we solve a system of equations\n",
        "to ensure $w(x)=w_{in}/2$ at the beginning of the taper and\n",
        "$w(x)=w_{out}/2$ at the end of the taper. This can be easily done using\n",
        "fsolve from Scipy.\n",
        "\n",
        "After we obtain $w(x)$, vertices can be generated and the taper can be\n",
        "made using PolySlab. Once the first taper is made, the rest three tapers\n",
        "can be made by manipulating the vertices with the symmetry relation."
      ],
      "id": "f34f0443-39e7-4f33-91a6-b02260336d77"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "# numerically solve for the cos function that describes the taper shape\n",
        "def equations(x0):\n",
        "    a, b = x0\n",
        "    return (\n",
        "        w_m * np.cos(a * (-w_out / 2) + b) - w_out / 2,\n",
        "        w_m * np.cos(a * (-w_out / 2 - l_t) + b) - w_in / 2,\n",
        "    )\n",
        "\n",
        "\n",
        "a, b = fsolve(equations, (0.5, 2))\n",
        "\n",
        "x = np.linspace(-w_out / 2 - l_t, -w_out / 2, 30)\n",
        "w = w_m * np.cos(a * x + b)\n",
        "\n",
        "# using the calculated taper shape to construct the taper as a PolySlab\n",
        "vertices = np.zeros((2 * len(x), 2))\n",
        "vertices[:, 0] = np.concatenate((x, np.flipud(x)))\n",
        "vertices[:, 1] = np.concatenate((w, -np.flipud(w)))\n",
        "taper_1 = td.Structure(\n",
        "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(-h / 2, h / 2)),\n",
        "    medium=si,\n",
        ")\n",
        "\n",
        "# creating the other four tapers by manipulating the vertices of the first taper\n",
        "vertices = np.array(vertices)\n",
        "vertices[:, 0] = -vertices[:, 0]\n",
        "taper_2 = td.Structure(\n",
        "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(-h / 2, h / 2)),\n",
        "    medium=si,\n",
        ")\n",
        "\n",
        "vertices = np.array(vertices)\n",
        "vertices[:, [1, 0]] = vertices[:, [0, 1]]\n",
        "taper_3 = td.Structure(\n",
        "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(-h / 2, h / 2)),\n",
        "    medium=si,\n",
        ")\n",
        "\n",
        "vertices = np.array(vertices)\n",
        "vertices[:, 1] = -vertices[:, 1]\n",
        "taper_4 = td.Structure(\n",
        "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(-h / 2, h / 2)),\n",
        "    medium=si,\n",
        ")\n",
        "\n",
        "# creating the center crossing junction using a Box\n",
        "corner = 0\n",
        "center = td.Structure(\n",
        "    geometry=td.Box.from_bounds(\n",
        "        rmin=(-w_out / 2 - corner, -w_out / 2 - corner, -h / 2),\n",
        "        rmax=(w_out / 2 + corner, w_out / 2 + corner, h / 2),\n",
        "    ),\n",
        "    medium=si,\n",
        ")\n",
        "\n",
        "# creating the input port and through port\n",
        "horizontal_wg = td.Structure(\n",
        "    geometry=td.Box.from_bounds(\n",
        "        rmin=(-inf_eff, -w_in / 2, -h / 2), rmax=(inf_eff, w_in / 2, h / 2)\n",
        "    ),\n",
        "    medium=si,\n",
        ")\n",
        "\n",
        "# creating the cross ports\n",
        "vertical_wg = td.Structure(\n",
        "    geometry=td.Box.from_bounds(\n",
        "        rmin=(-w_in / 2, -inf_eff, -h / 2), rmax=(w_in / 2, inf_eff, h / 2)\n",
        "    ),\n",
        "    medium=si,\n",
        ")"
      ],
      "id": "86abcb84"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Set up simulation domain, source, and monitors. A mode source is used to\n",
        "excite the input waveguide. A field monitor at $z=0$ plane is added to\n",
        "monitor the field propagation. Two flux monitors are added at the\n",
        "through port and cross port to monitor the transmission and crosstalk\n",
        "levels.\n",
        "\n",
        "Before running the simulation, we can use the plot method to ensure the\n",
        "geometry, source, and monitors are set up correctly."
      ],
      "id": "a932b36c-51cf-4142-963e-3efdfacd6399"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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3bp0qKiqy3cjnzp0rv9+vt956K7vOgQaNGe7xHoodd9wx+/nh6G8wJa/ttdde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7vcymLkFQAcj+QVAAAH65TFiGJrOvl9cru4xysAOB3JKwAADkby2rpOWYxOA0AqIHkFAMDBcjK8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\nWwU5zRcbcdobt6PoP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M9bNDFSzSWXXKLt27friCOO0Pnnn297fD4X7Rc6hiwpKdHJJ5+s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\n99+rtrZWPXr00P777y+Px9Pi38ydO1eBQ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          }
        }
      ],
      "source": [
        "lda0 = 1.31  # central wavelength\n",
        "freq0 = td.C_0 / lda0  # operation frequency\n",
        "ldas = np.linspace(1.26, 1.36, 101)  # wavelength range of interest\n",
        "freqs = td.C_0 / ldas  # frequency range of interest\n",
        "\n",
        "l_wg = 1  # input/output waveguide length\n",
        "Lx = 2 * l_t + w_out + 2 * l_wg\n",
        "Ly = 2 * l_t + w_out + 2 * l_wg\n",
        "Lz = 1.5 * lda0\n",
        "sim_size = (Lx, Ly, Lz)\n",
        "\n",
        "# define a mode source for excitation using the lowest order mode\n",
        "mode_source = td.ModeSource(\n",
        "    center=(-Lx / 2 + l_wg / 2, 0, 0),\n",
        "    size=(0, 4 * w_in, 4 * h),\n",
        "    source_time=td.GaussianPulse(freq0=freq0, fwidth=freq0 / 10),\n",
        "    direction=\"+\",\n",
        "    mode_spec=td.ModeSpec(\n",
        "        num_modes=1,\n",
        "        target_neff=3.455,\n",
        "        sort_spec=td.ModeSortSpec(\n",
        "            filter_key=\"TE_fraction\", filter_order=\"over\", filter_reference=0.5\n",
        "        ),\n",
        "    ),\n",
        "    mode_index=0,\n",
        ")\n",
        "\n",
        "# add a field monitor at z=0 for field visualization\n",
        "field_monitor = td.FieldMonitor(\n",
        "    center=(0, 0, 0), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n",
        ")\n",
        "\n",
        "# define a flux monitor to detect transmission to the through port\n",
        "flux_monitor_through = td.FluxMonitor(\n",
        "    center=(Lx / 2 - l_wg / 2, 0, 0),\n",
        "    size=(0, 4 * w_in, 4 * h),\n",
        "    freqs=freqs,\n",
        "    name=\"flux_through\",\n",
        ")\n",
        "\n",
        "# define a flux monitor to detect transmission to the cross port\n",
        "flux_monitor_cross = td.FluxMonitor(\n",
        "    center=(0, Ly / 2 - l_wg / 2, 0),\n",
        "    size=(4 * w_in, 0, 4 * h),\n",
        "    freqs=freqs,\n",
        "    name=\"flux_cross\",\n",
        ")\n",
        "\n",
        "sim = td.Simulation(\n",
        "    center=(0, 0, 0),\n",
        "    size=sim_size,\n",
        "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
        "    structures=[taper_1, taper_2, taper_3, taper_4, center, horizontal_wg, vertical_wg],\n",
        "    sources=[mode_source],\n",
        "    monitors=[field_monitor, flux_monitor_through, flux_monitor_cross],\n",
        "    run_time=1e-12,\n",
        "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
        "    medium=sio2,\n",
        ")\n",
        "\n",
        "sim.plot(z=0)\n",
        "plt.show()"
      ],
      "id": "1dd3851b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To have a better visualization, we can also plot the simulation in 3D."
      ],
      "id": "cefea7b4-52dd-4412-97ec-8da3b5ed9740"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "\n",
              "    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"H4sIAKT4UWoC/+1cy44jyXWtnpGAhgAB8s72yuDWGUS8H7XyeNTqHkPzgHoEGGg06Cwyqyo9JJNKkt1VLWgv/4E/wR/hD5iVv8Of4J18bkQmm2SSPWFLgmdgcqqrKiMvb9zHuTdORrDmX178/Bc//clf/+SKXk+fXv3o6mdX+68/dK//en143d//p+7nk+7n77uf//ZRP/4k3vvLbvwvOv3Hcl//6tkzkv7D0aufh/8o/Xx6dXn9f3y9ePbJV/TzH7vrHk/ffnQo9w8vv/xi8vLrX332xfMDXP7d/3LeJ1c/Tjqe9NdPD/R+DEvo97968iQi+2e7e0nux/hJ1x99lIafdpZ/3Cs6qrerq3/9Xufh5Rdf/vzJLgpXV3/z8QWbl9fl9UN9fftrdKCn79fw559++Uv6+Z+/PlzXv+2ufzsqN5t2Pbr+7e+K0eZxVY2uRy/rxXZebupmOSpG02q5qdrR9Ss+5kX373UxWtfvIPpKqLEr0rdxsAY3FtWs3i6gb1/xslxAermdz4vRbVv9Zlstp4+Ttlze7YbL+bx5O7kr6+Xo+racryu8q1nO62VVtpP1qpr2gotm1ll3MPymfndwfV+Vm4OBzrnPk33FaFW1i3qzqd/Um8fRtRwLLg3cbZaz7bQfha+wfr1pMbRtK3jz6sCvu6pZVJv28cjdbqqvmvnjy3l5g8nKhxr3JMVtVr2FrxP4Pq/iDMWorW6rFiGpJqt5uaS3LurZDLchj/dPbprtckaTM4h7bor0A9Ge1V2ikqI3Vbupp9HOV8yMPUkKZ3j3MoKHYF8XdM9aJ7VQLijBlSZBKa33WjmltZJGOp0EtdfaS2e8ldwGknPOBEhabYRQnKskp7jY1whBRQpFEFYGo63vBYXwgIrppUnQae2CtjBPaG1snFmPg6Ipd8IQ1JILbbnB9+CDCEnOGXVkorbKalwEw4NWnTrj9pQJUme4dsZAVkjPtXVJTvnOhaST5BAQK5WBlQrhlElOcrPvMck56Heek7tWCpHkuNwLiyZ9VgjrIcsd98LEsKixV/tRkZbktJBGIYZceCtckrPG7scvyllnhFLSSe6Ut52gdvvTSpILXCnupXEOrqluYhn2xRwJOrjgvZNCcq51irNChfj9hJCcNMI7Bys9pEJUKMdBmn1BklMOoVbWOKE09y7JOb0XZhv1AVLcAntAA5AVkpyxfD/BOgoGJZFjCUcQQ5kElXP7M3eC1llcWhNUhxjUenivDrJRzgpABgYg0IrrJMfFPgBF9MQDKvgnnLBWeJITYy/3EWOiQumsMgZW4uVNJ4gp3udY8SgopBMaGFEW9nGXBIHgfRTGLActBCEMIfKcmi0JSi8OokOCDv5BH9SS7TIJ8rDvcsIhZuFSBMhyb2TsDHwcxL6JIQHWKbjopKXCSwCjWOwpNFEjnIcoBBXs1yk8GKX2YnZtCFBAaHa32Ll7A/3s3AQDk9lpm09EgZ0Ow4nAsnORHeSKnUvWIP3sXP4HiGKnITXEKDsN0iHo2TnUD8qInaujQWWyc6V5XOvsXLEfNw92unsMuxE73Y5O9Dd2rsEdd0x2rmUOejA714QHXZ2dbOvDVYKdXCaGqw47t+wcL2Ps3Dp2vC6ycwvj8TrLziy0x+s2O71wD5kAO0MFhuSCnWUXR3SFneUrxwSInWVAPt4c8ijwr5vt/I7oFlHMI557U06/uWuJuU0Oqebgdk+Z041VWzftnmBPynsSOvrBcmw8JyBR4RTJ/l3xg+HVH6DVuaw6k1TncupcSp3JqPMIdSafzqTTmWw6j0xnculcKp3JpHOJdCaPzqTRmSw6l0TncuhMCp3JoHMJdC5/zqXPuew5lzzncudc6nyeOX+AOGfz5mzanM2as0lzNmfOpszZjDmXMOfy5Wy6nM2Wc8lyLlfOpcrZTDmXKGfz5FyanMmSc0lyLkfOpciZDDmXIGfz42x6nMuOs8nxhRtfuPE+Nz6BhIIwElebAYCKAc6S3DEii2PcRrEBwItBHSS544opBoUV5Y4rsBjUaRI7rOdiUPRpdT7qDsWghySxo2ZTDFpSEjvqXcWgw0Wxo05YDNplkjpsq8Ww+SaxozZdDLt5kjvq+8VgdUic5GgZKYarTZI7WpeKwerVUZzDZa4YLIZJ7GjVLAZrayd2uAgXw7W6lztY1Yvh4t/JHdKEYkAmOicOWUcx4CZdSA5JTDHkOknuiBUVQ/LUZeyQZhVDNpbkjnhbMaR3HaAOiWAx5IsdPA+ZZTEkoAntR1S1GDLajgEfct/IlPtd5fO3srSzXHNZrv8sN6AsN0MsN+UsF0MsE5MsE+Ist2RYbg2yzJpmmS2CZXYcltvBWGZHZLkdlmV2bJbX/1nmasIyFyeWudaxvJWTZa7DLHddZ7lEgWUSD5ZLZNhZMnThxhdunODAPkCOWS47Zpn0mOXyY5ZJkFkeQ2aZFJllcmSWSZJZHktmeTSZ5fJklkuUWSZTZrlUmWVyZZZJllkmW2a5dJnl8mWWSZhZJmNmuZSZ5XJmlkuaWS5rZrm0meXyZpZLnNkHmDP7AHVm2dyZZZNnls2eWTZ9Ztn8mWUTaJbNoFkuhWa5HJplk2iWzaJZLo1muTya5RJpls2kWS6VZrlcmuWSaZbLplkunWa5fJplEmqWy6hZNqVm2ZyaZZNqlsuqWTatZhde/X/Iq/++efjuD4qPRUH/kD0rXl9S8z1KDdpwGov7ZJf0fM/SE/Oyy9ElPX9keiiwj4suJ68Q0iLGutm20+Hfd+y72k/ZzKqXUXo/c8ym6hnkjtPebfy0iN5NM9nUpPZgpnKxmteb7QzjgnYOVvflut+O6GZ+Xm7X67pcfrVFQEcp9nx0LSWWzSC5NqCcRmLJxK239Wxzf3xvLOlec3u7rjaja5N2OhbNm2oym06mzWLVLOHP6BoAqMj57WJCc8BCARi1TTm7KSOKNvfNDAZN76ubx/V99QbGbNcVVMybabmpZpMaYblru50QUkc7I201TQOjvx3FzFddSg9DjlnpXpp1U7Z31WayrG5vR9fIqjFJYrWYp+whqLf1HEmYrJr5Dn60lzPZ3FebsgthGlnd1931CsbU62TNrNnexL2dmwretSUgtd4VDw2lzaJ91W2z6Zzr0L1pUWUxWr0gldwKgZhVD5P1plrtRNdNuznleOfGNxVwOfr6GZSV0+5vsLpbu20pcsLshpt2RhgcIZEteUGlXi/vJjdoLp0x31TVqo8qFeeoMyNNtpxQeLuhvUnSe+NoPwc0APOkfnTodCyFtiTNB4XSbl6Sq/CPMNGuTlYxSXZS8Pp9yUWMxBDCY6rc6FvZPp6K38PR9WpOafyucv7q81+OEqTm5WNFgnhqGq1KMmMTrw80rOu7RdlHQ/XXi7rf8OuuywcqY7M/y1ekco25vilXq30V6TqqiJXfXZMKFaE7Ry/o5UV//X7K7prk05+rVQ+oOCquvT9b60oa77oE5Tgou7U4YYtQ+HjB0gVLfyIsvbtg6YKlPxGWjob6RXPRLOtN0w7oayf+i7qazz5PMt/5uDH6bHlbL4kvF3u/JpGUEvAO6Bt1K/qbco7VuJzGh/wC/70m2p2IYM/9vpMcdjTz1ZDLQlu5amb1u07+MMGgh5seI6Al/a8d+z3Azifvtey4BvlB046e0WPYM3L52Tt8e0GXL+jyxbvR66Mnuj6o8+3DiZjmPQf0gYQO0FQwxbv7P0884xa2kd1rLGWBIdq7V17SNr6EYRgxRmmjpPZekJkYUdYoa413OuChM75NOGfwpYTVZmwshmwInHuD9+ugxzwOeY4cBi2M9mLsSZe1gnYAg+HS2bE0RdyhDsor6TlUjgWN0AEAphB40HXd+7hx3CijFe5EIZgj6E1kZhjTdMZ6g9ms0Rgcc0VDBhqMhEtc6nEcUTCACx48vidFQgmlguXOa4VnagzBA8etUyHqjh7TAQj3CCGHcHyfNognbR5bLeCKpyEVTHDBOjyZ+7F2NCSF9MZ5IU18ascIV5xLgcEgVRJSXjvthIC6PpwUcGAfscK09ByHIY0oSYmMIQrJP0QDpYEMkc9jE4eEhHtO8aC9HTsyi+IbHG0g4/s4jjhDrhnMIdxYxSHKp7YBYYSqQGZJBXmjpcWYGfsoJWlbl/vgjfTJacmRc25FgD6e/IFzNBlNF1KwhHXeOy4cp2dPTSkVOgSEysSvmEDkUygt8E4gcuwo7EIAHT4EZ70NY9LNg9V0QEAnECaBGJlD8ATBRtoIWW7pXAE3LMU4gpHjJvzWGr/wJES4wLW3SMeYoAiweNQBnRqEEA2QQLWEawT4EMtBwil6Ax4/YWbMjAzAGcIePOcQokDRgZemsykCsSTkScQnCGkD0ix0DLCEbqBBomyMFTF0w+d3DFmnrVbOK3jdSQFMQCnVG2WGzAI2rBLBA2pajC3Z7gVBv3tFdEgHeHJcCTpLIThK57mh3XsYq2yEP51uSQDRA8Sp2BA2C9wbVKAQfOwMDUlPSaEjHhgayAQkAcXvdfwvGWqDVsYJmOngNCm3zonAaUsGoU6mW8sJmnQcEhIaZWwKMElLtIsxOWPpLMl4Sg1KmSwATp2XKHe8XUVfDBKl4RtaDhocGW5QVwreELZMxCsigqbn0H88oBALBBiPiRd0fqNT3lFV3ggAXaO+UzgBclIc4tc4YAQZ4Og6MFZYHm2i85yAQhJCap1c0XR8gwKkPsMTOKhPGMwQUOIh1rvUCB9Ahm9UtkmKU9AVEo22k6AANUhhEFyh8VElo/bhI0pJovOq2Kqo66HWAizHO2Nc0N4IkQgPohVrhirZhHiGSX0wuozFATlBjOlYM0JWkvt0eBhbY8wV5V3HdhisT9GTcJA7dB2BfMSeLqlzBFoxYBWPoSIjUNnoN96m5izpzEljUeH0FUuLgIHyQMFb5aIFAk04oO0iWwheTAOyhOpG8hGr1KhQjAg30ClsoJ5HI5QbVE3Q+JbQiWQiLgAVHSKmIU5hsXRgJmnpoQijZRA0COtdo5IICw0gOUGKhCH0EHLaewSbwP/nZCbLpl2AB8zqttstqx6m80gTt+1tOa3W71WXN/NqUs7+ualp6y7uMf2PCAstUD1p2T+u0R2LGRKWadus1xe6cqErF7pyoSsXunKhKxe6cqErfwxdeU2nZfXs1KFOHH84fXj+yXbTPMd9OkwsHybraTmPp6eazq3X98RuTr3teVvOqtnnSQLDs/ne/hx+i6d1azpKn7x9Mx9dyxM31vVikpiSSNt40c7HH4id777/dr4t31TzanlH6BNjJYp4ugnjDndKXxFjXZarFZ13rghT3WDcH6azzHpZLUB1I7a6ezu761kPYOjuDoPRk0Eyx7PqjaKPFcybzSTZMdmCOtPx6X/8O33gYGfFpP8YRTxfxf3qN9t4DDrfLlagu3CDDOiN3d6s6odqfhTKWQ2x6aatp2f/cqFsEZ/ZJ7C0vKPjV9r2rTbl/PQbXm7Kup2W605yWFi94mefftosb2P90tFtjUwjK4hc/NxE+kMGhcKd3SHy0LYlQ+DstGl35/ndfvVqMc0yZo7Hh8fJh4xPXeMzil+5jB+0OG0YzzNspzbFvk/6eve/OZ10Ept69qgI/6tmvZlQV+u2+eOjzhItrrxZN+1NPGp4FZ90tm1JjQwrSKBPU8xROLvB7sB//7MG9483qcJSy0RKd+fbMOgeFUgfdIBneAH07XbZfVhEVIzOOuhjNfS0NFkvmmZzTxFNn3X8b1LoeJb4XQAA\" ></div>\n",
              "    <script>\n",
              "        \n",
              "        /**\n",
              "        * Simulation Viewer Injector\n",
              "        *\n",
              "        * Monitors the document for elements being added in the form:\n",
              "        *\n",
              "        *    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"{...}\" />\n",
              "        *\n",
              "        * This script will then inject an iframe to the viewer application, and pass it the simulation data\n",
              "        * via the postMessage API on request. The script may be safely included multiple times, with only the\n",
              "        * configuration of the first started script (e.g. viewer URL) applying.\n",
              "        *\n",
              "        */\n",
              "        (function() {\n",
              "            const TARGET_CLASS = \"simulation-viewer\";\n",
              "            const ACTIVE_CLASS = \"simulation-viewer-active\";\n",
              "            const VIEWER_URL = \"https://tidy3d.simulation.cloud/simulation-viewer\";\n",
              "\n",
              "            class SimulationViewerInjector {\n",
              "                constructor() {\n",
              "                    for (var node of document.getElementsByClassName(TARGET_CLASS)) {\n",
              "                        this.injectViewer(node);\n",
              "                    }\n",
              "\n",
              "                    // Monitor for newly added nodes to the DOM\n",
              "                    this.observer = new MutationObserver(this.onMutations.bind(this));\n",
              "                    this.observer.observe(document.body, {childList: true, subtree: true});\n",
              "                }\n",
              "\n",
              "                onMutations(mutations) {\n",
              "                    for (var mutation of mutations) {\n",
              "                        if (mutation.type === 'childList') {\n",
              "                            /**\n",
              "                            * Have found that adding the element does not reliably trigger the mutation observer.\n",
              "                            * It may be the case that setting content with innerHTML does not trigger.\n",
              "                            *\n",
              "                            * It seems to be sufficient to re-scan the document for un-activated viewers\n",
              "                            * whenever an event occurs, as Jupyter triggers multiple events on cell evaluation.\n",
              "                            */\n",
              "                            var viewers = document.getElementsByClassName(TARGET_CLASS);\n",
              "                            for (var node of viewers) {\n",
              "                                this.injectViewer(node);\n",
              "                            }\n",
              "                        }\n",
              "                    }\n",
              "                }\n",
              "\n",
              "                injectViewer(node) {\n",
              "                    // (re-)check that this is a valid simulation container and has not already been injected\n",
              "                    if (node.classList.contains(TARGET_CLASS) && !node.classList.contains(ACTIVE_CLASS)) {\n",
              "                        // Mark node as injected, to prevent re-runs\n",
              "                        node.classList.add(ACTIVE_CLASS);\n",
              "\n",
              "                        var uuid;\n",
              "                        if (window.crypto && window.crypto.randomUUID) {\n",
              "                            uuid = window.crypto.randomUUID();\n",
              "                        } else {\n",
              "                            uuid = \"\" + Math.random();\n",
              "                        }\n",
              "\n",
              "                        var frame = document.createElement(\"iframe\");\n",
              "                        frame.width = node.dataset.width || 800;\n",
              "                        frame.height = node.dataset.height || 800;\n",
              "                        frame.style.cssText = `width:${frame.width}px;height:${frame.height}px;max-width:none;border:0;display:block`\n",
              "                        frame.src = VIEWER_URL + \"?uuid=\" + uuid;\n",
              "\n",
              "                        var postMessageToViewer;\n",
              "                        postMessageToViewer = event => {\n",
              "                            if(event.data.type === 'viewer' && event.data.uuid===uuid){\n",
              "                                frame.contentWindow.postMessage({ type: 'jupyter', uuid, value: node.dataset.simulation, fileType: 'hdf5'}, '*');\n",
              "\n",
              "                                // Run once only\n",
              "                                window.removeEventListener('message', postMessageToViewer);\n",
              "                            }\n",
              "                        };\n",
              "                        window.addEventListener(\n",
              "                            'message',\n",
              "                            postMessageToViewer,\n",
              "                            false\n",
              "                        );\n",
              "\n",
              "                        node.appendChild(frame);\n",
              "                    }\n",
              "                }\n",
              "            }\n",
              "\n",
              "            if (!window.simulationViewerInjector) {\n",
              "                window.simulationViewerInjector = new SimulationViewerInjector();\n",
              "            }\n",
              "        })();\n",
              "    \n",
              "    </script>\n",
              "    "
            ]
          }
        }
      ],
      "source": [
        "sim.plot_3d()"
      ],
      "id": "57818128"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Once the simulation set up is verified, submit job to the server. Before\n",
        "running the simulation, we can get a cost estimation using\n",
        "`estimate_cost`. This prevents us from accidentally running large jobs\n",
        "that we set up by mistake. The estimated cost is the maximum cost\n",
        "corresponding to running all the time steps."
      ],
      "id": "bf703150-4118-401e-857f-6aef2f0f1833"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">08:02:44 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'waveguide_crossing'</span> with resource_id                 \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-301bd3bf-2c70-40c6-8dc1-23ddedbccf09'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>View task using web UI at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-301bd3bf-2c70-40c6-8dc1-23ddedbccf09\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-301bd3bf-2c7</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-301bd3bf-2c70-40c6-8dc1-23ddedbccf09\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">0-40c6-8dc1-23ddedbccf09'</span></a>.                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"0f8cdca237994e52ab7995b44f2b8e17\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">08:02:47 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.492</span>. This assumes the FDTD solver runs\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>for the full simulation time; if early shutoff is reached, the     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed cost can be lower. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed FlexCredit cost after a simulation run.                     \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "job = web.Job(simulation=sim, task_name=\"waveguide_crossing\", verbose=True)\n",
        "estimated_cost = web.estimate_cost(job.task_id)"
      ],
      "id": "b4e2486f"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The cost is reasonably so we can run the simulation."
      ],
      "id": "11e9a194-1a97-4dc8-8b26-da6df75273b5"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">08:02:48 UTC </span>status = queued                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
              "</pre>"
            ]
          }
        },
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              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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        },
        {
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              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">08:03:02 UTC </span>starting up solver                                                 \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>running solver                                                     \n",
              "</pre>"
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          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"39766dccc4034b0291764efd7d461adf\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">08:03:31 UTC </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">45</span>%, exiting.                            \n",
              "</pre>"
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        },
        {
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            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">08:03:32 UTC </span>status = postprocess                                               \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"961a96a135c64cb19f634b3041d57b9b\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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        },
        {
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          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">08:03:34 UTC </span>status = success                                                   \n",
              "</pre>"
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          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
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          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">08:03:36 UTC </span>View simulation result at                                          \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-301bd3bf-2c70-40c6-8dc1-23ddedbccf09\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-301bd3bf-2c7</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-301bd3bf-2c70-40c6-8dc1-23ddedbccf09\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">0-40c6-8dc1-23ddedbccf09'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"f52512344a7c4885b4614dc57fa0835f\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
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        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">08:05:48 UTC </span>Loading results from data/simulation_data.hdf5                     \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_data = job.run(path=\"data/simulation_data.hdf5\")"
      ],
      "id": "19017f68"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Result Visualization\n",
        "\n",
        "After the simulation is complete, first plot the field intensity\n",
        "distribution.\n",
        "\n",
        "From the figure below, a good transmission to the through port is\n",
        "observed. In the crossing junction, a strong field focus is formed due\n",
        "to the focusing property of the cosine taper."
      ],
      "id": "db5733bc-e617-4796-b19e-1dcf79db95d4"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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vqElUIgEAMAQVmg/JynHfV4E5iRjSBgAAUFmESAAADEHl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fZs41Zi2o5bURaX7b/jelVL6dWEJlFNZcldN2ZsOYmP1t7sWl7Vk/flUFyJOZsUTpkXSoll0icl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\n1K9+9StJ0kMPPWTrSmezZs2yro8bNy7qfieccIIkacOGDfr4449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          }
        }
      ],
      "source": [
        "sim_data.plot_field(\n",
        "    field_monitor_name=\"field\", field_name=\"E\", val=\"abs^2\", f=freq0, vmin=0, vmax=3000\n",
        ")\n",
        "plt.show()"
      ],
      "id": "e008f571"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Finally, to quantify the designed waveguide crossing’s performance, plot\n",
        "insertion loss and crosstalk level."
      ],
      "id": "0f434c36-4be4-4b33-b37e-737f479dc87e"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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zZ89sttlmKSkpSVlZWd55553861//yt13351zzjknl1xy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\nOgAAAACZSctKDTX5lXc0bP5nSQ8RxScmq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WvW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\nu7ntttusY2P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          }
        }
      ],
      "source": [
        "f, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(10, 5))\n",
        "\n",
        "T_through = sim_data[\"flux_through\"].flux\n",
        "T_cross = sim_data[\"flux_cross\"].flux\n",
        "\n",
        "ax1.plot(ldas, 10 * np.log10(T_through))\n",
        "ax1.set_xlabel(r\"Wavelength ($\\mu m$)\")\n",
        "ax1.set_ylabel(\"Insertion loss (dB)\")\n",
        "ax1.set_ylim((-0.3, 0))\n",
        "\n",
        "ax2.plot(ldas, 10 * np.log10(T_cross / T_through))\n",
        "ax2.set_xlabel(r\"Wavelength ($\\mu m$)\")\n",
        "ax2.set_ylabel(\"Crosstalk (dB)\")\n",
        "ax2.set_ylim((-30, -25))\n",
        "plt.show()"
      ],
      "id": "acf9a96f"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}