{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Euler waveguide bend\n",
        "\n",
        "Efficiently routing light in a densely packed photonic chip has been a\n",
        "central topic in the photonic industry. This inevitably requires the use\n",
        "of waveguide bends of various angles and radii. Electromagnetic waves\n",
        "can travel in straight waveguides for a long distance with very little\n",
        "loss. However, when it enters a waveguide bend, significant reflection\n",
        "and leakage could occur.\n",
        "\n",
        "The most common waveguide bends are circular bends. A silicon waveguide\n",
        "bend typically has a loss in the order of 0.01 dB. This loss is\n",
        "sufficiently small for many applications. However, in cases where a\n",
        "large number of bends are used, the total loss due to the bends can be\n",
        "quite large. Therefore, new methods to reduce bending loss is needed.\n",
        "Recently, [T. Fujisawa et\n",
        "al.](https://opg.optica.org/oe/fulltext.cfm?uri=oe-25-8-9150&id=362937)\n",
        "demonstrated that a waveguide bend following the clothoid curve, also\n",
        "known as the Euler bend, yields a much lower loss compared to a circular\n",
        "bend due to its smooth curvature transition. In this example notebook,\n",
        "we model a 90 degree Euler waveguide bend and compare its loss to a\n",
        "conventional circular bend. The loss of the Euler waveguide bend is\n",
        "found to be several times smaller compared to the circular bend of the\n",
        "same effective radius at the telecom wavelength.\n",
        "\n",
        "<img src=\"img/euler_bend_schematic.png\" width=\"500\" alt=\"Schematic of the waveguide bends\">\n",
        "\n",
        "For more integrated photonic examples such as the [8-Channel mode and\n",
        "polarization\n",
        "de-multiplexer](https://www.flexcompute.com/tidy3d/examples/notebooks/8ChannelDemultiplexer/),\n",
        "the [broadband bi-level taper polarization\n",
        "rotator-splitter](https://www.flexcompute.com/tidy3d/examples/notebooks/BilevelPSR/),\n",
        "and the [broadband directional\n",
        "coupler](https://www.flexcompute.com/tidy3d/examples/notebooks/BroadbandDirectionalCoupler/),\n",
        "please visit our [examples\n",
        "page](https://www.flexcompute.com/tidy3d/examples/)."
      ],
      "id": "6ee3c971-481c-42c3-ae62-0d2b60d01c6c"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import gdstk\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import scipy.integrate as integrate\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web\n",
        "from scipy.optimize import fsolve"
      ],
      "id": "e715bc0c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Clothoid Bend vs. Circular Bend\n",
        "\n",
        "The expression for a clothoid curve (Euler curve) whose starting point\n",
        "is at the origin is given by\n",
        "\n",
        "$$x = A \\int_{0}^{L/A} cos(\\frac{\\theta^2}{2})d\\theta,$$\n",
        "\n",
        "$$y = A \\int_{0}^{L/A} sin(\\frac{\\theta^2}{2})d\\theta,$$\n",
        "and\n",
        "$$RL=A^2,$$\n",
        "where $A$ is the clothoid parameter, $L$ is the curve length from\n",
        "$(0,0)$ to $(x,y)$, and $1/R$ is the curvature at $(x,y)$. At the end\n",
        "point of the clothoid curve, the curve length is $L_{max}$ and the\n",
        "curvature is $1/R_{min}$. Unlike a circular curve, the curvature of a\n",
        "clothoid curve varies linearly from 0 to $1/R_{min}$. A 90 degree Euler\n",
        "waveguide bend is constructed by connecting two pieces of clothoid\n",
        "curves with a circular curve. One clothoid curve starts at $(0,0)$ and\n",
        "the other starts at $(R_{eff},R_{eff})$, where $R_{eff}$ is the\n",
        "effective waveguide bending radius. To ensure a smooth transition of\n",
        "curvature, we choose a $L_{max}$ such that the derivative is continuous\n",
        "at the connecting points.\n",
        "\n",
        "In this example notebook, we model waveguide bends with a 4 $\\mu m$\n",
        "effective bending radius. First, we plot the shapes of the two types of\n",
        "bends to get a sense of how the Euler bend and the circular bend differ.\n",
        "More specifically, we try the case with $A=2.4$.\n",
        "\n",
        "An important step in constructing the Euler bend is to determine\n",
        "$L_{max}$. Here we do it numerically using the `fsolve` function from\n",
        "`scipy.optimize` to find for the `L_max` that matches the local\n",
        "effective effective radius of the clothoid curves with the circular\n",
        "curve. Note that, for a given `R_eff`, there is a limited range of `A`\n",
        "values that met the criteria."
      ],
      "id": "7ebd1201-fd64-4cc1-a749-37a6bac524f0"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "R_eff = 4  # effective radius of the bend\n",
        "A = 2.4  # clothoid parameter"
      ],
      "id": "4ba9474b"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "def euler_curve(L_max, A, num_points=50):\n",
        "    Ls = np.linspace(0, L_max, num_points)\n",
        "\n",
        "    y1 = np.array([integrate.quad(lambda theta: A * np.sin(theta**2 / 2), 0, L / A)[0] for L in Ls])\n",
        "    x1 = np.array([integrate.quad(lambda theta: A * np.cos(theta**2 / 2), 0, L / A)[0] for L in Ls])\n",
        "\n",
        "    return x1, y1\n",
        "\n",
        "\n",
        "def calculate_L_max(R_eff, A, num_points=50, tolerance=1e-12):\n",
        "    def func(L_max):\n",
        "        L_max = float(L_max.item())\n",
        "        x1, y1 = euler_curve(L_max, A, num_points)\n",
        "\n",
        "        # compute the derivative at L_max\n",
        "        k = -(x1[-1] - x1[-2]) / (y1[-1] - y1[-2])\n",
        "        xp = x1[-1]\n",
        "        yp = y1[-1]\n",
        "\n",
        "        # check if the derivative is continuous at L_max\n",
        "        R = np.sqrt(\n",
        "            ((R_eff + k * xp - yp) / (k + 1) - xp) ** 2\n",
        "            + (-(R_eff + k * xp - yp) / (k + 1) + R_eff - yp) ** 2\n",
        "        )\n",
        "        return np.abs(R - A**2 / L_max)\n",
        "\n",
        "    res = fsolve(func, x0=(1,), full_output=True)\n",
        "\n",
        "    error = res[1][\"fvec\"]\n",
        "\n",
        "    if error > tolerance:\n",
        "        raise ValueError(f\"No solutions for given A: {A}.\")\n",
        "    L_max = res[0][0]\n",
        "\n",
        "    return L_max\n",
        "\n",
        "\n",
        "L_max = calculate_L_max(R_eff, A)\n",
        "\n",
        "x1, y1 = euler_curve(L_max, A)\n",
        "\n",
        "xp = x1[-1]\n",
        "yp = y1[-1]\n",
        "\n",
        "R_min = A**2 / L_max"
      ],
      "id": "cd61b69c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "After determining the first piece of the clothoid curve, the second\n",
        "piece can be obtained simply by mirroring it with respect to\n",
        "$y=-x+R_{eff}$."
      ],
      "id": "25d44e51-106e-45d6-b3bc-d3f10722e460"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "# getting the coordinates of the second clothoid curve by mirroring the first curve with respect to y=-x+R_eff\n",
        "x3 = np.flipud(R_eff - y1)\n",
        "y3 = np.flipud(R_eff - x1)"
      ],
      "id": "1b64489f"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The last step is to determine the circular curve connecting the clothoid\n",
        "curves. This can be done simply by enforcing a circle\n",
        "$(x-a)^2+(y-b)^2=R_{min}^2$ to pass the endpoints of the clothoid\n",
        "curves. Here, we use again the `fsolve` function to solve for $a$ and\n",
        "$b$."
      ],
      "id": "47a2f49c-1c06-44b3-be3b-bb9830ea54a6"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "# solve for the parameters of the circular curve\n",
        "def circle(var):\n",
        "    a = var[0]\n",
        "    b = var[1]\n",
        "    Func = np.empty(2)\n",
        "    Func[0] = (xp - a) ** 2 + (yp - b) ** 2 - R_min**2\n",
        "    Func[1] = (R_eff - yp - a) ** 2 + (R_eff - xp - b) ** 2 - R_min**2\n",
        "    return Func\n",
        "\n",
        "\n",
        "a, b = fsolve(circle, (0, R_eff))\n",
        "\n",
        "# calculate the coordinates of the circular curve\n",
        "x2 = np.linspace(xp + 0.01, R_eff - yp - 0.01, 50)\n",
        "y2 = -np.sqrt(R_min**2 - (x2 - a) ** 2) + b"
      ],
      "id": "dc11fe33"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now we have obtained the coordinates of the whole Euler bend, we can\n",
        "plot it with a conventional circular bend to see the difference.\n",
        "Compared to the circular bend, we can see the Euler bend has a smaller\n",
        "curvature at $(0,0)$ and $(R_{eff},R_{eff})$. This allows a slower\n",
        "transition to and from the straight waveguides, which leads to smaller\n",
        "reflection and scattering loss."
      ],
      "id": "95baefb5-9970-4878-857d-6fd5f630f0df"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
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BLBWWlG903DoiUM3DAhr0GQDgLgQ5AAAAAKyz9F1zO2Gs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          }
        }
      ],
      "source": [
        "# obtain the coordinates of the whole Euler bend by concatenating three pieces together\n",
        "x_euler = np.concatenate((x1, x2, x3))\n",
        "y_euler = np.concatenate((y1, y2, y3))\n",
        "\n",
        "# the conventional circular bend is simply given by a circle\n",
        "x_circle = np.linspace(0, R_eff, 100)\n",
        "y_circle = -np.sqrt(R_eff**2 - (x_circle) ** 2) + R_eff\n",
        "\n",
        "# plotting the shapes of the Euler bend and the circular bend\n",
        "plt.plot(x_euler, y_euler, label=\"Euler bend\")\n",
        "plt.plot(x_circle, y_circle, \"--\", label=\"Circular bend\")\n",
        "plt.axis(\"equal\")\n",
        "plt.ylim(-1, R_eff + 1)\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "7fd083c0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Loss of a Circular Bend\n",
        "\n",
        "We first simulate a circular waveguide bend as a baseline reference.\n",
        "Then in the next section, we will simulate an Euler bend and compare\n",
        "their losses quantitatively. Both simulations share the same parameters\n",
        "and simulation setup. The only difference is the bend structure."
      ],
      "id": "c3eaf4e3-c57d-42c5-b9a6-3a3f19132e94"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "lda0 = 1.55  # central wavelength\n",
        "freq0 = td.C_0 / lda0  # central frequency\n",
        "ldas = np.linspace(1.5, 1.6, 100)  # simulation wavelength range\n",
        "freqs = td.C_0 / ldas  # simulation wavelength range\n",
        "fwidth = 0.5 * (np.max(freqs) - np.min(freqs))  # frequency width of the source"
      ],
      "id": "737ec9e4"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [],
      "source": [
        "t = 0.21  # thickness of the waveguide\n",
        "w = 0.4  # width of the waveguide\n",
        "inf_eff = 100  # effective infinity of the simulation\n",
        "buffer = 1  # buffer distance"
      ],
      "id": "f3b2f654"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The silicon waveguide on the oxide substrate has an oxide top cladding.\n",
        "Therefore, we will define two materials for the simulations. Both are\n",
        "modeled as non-dispersive in this case."
      ],
      "id": "9dc58a9d-f615-4b9e-9b53-3ca61b21c8e6"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [],
      "source": [
        "n_si = 3.476  # silicon refractive index\n",
        "si = td.Medium(permittivity=n_si**2)\n",
        "\n",
        "n_sio2 = 1.444  # silicon oxide refractive index\n",
        "sio2 = td.Medium(permittivity=n_sio2**2)"
      ],
      "id": "c9d51570"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "In the previous section, we obtained the coordinates that describe the\n",
        "Euler bend and the circular bend. To construct the 3D waveguide bend\n",
        "structure, we define a helper function here. We make use of `gdstk` to\n",
        "convert the coordinates of a bend to a Tidy3D\n",
        "[PolySlab](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PolySlab.html)."
      ],
      "id": "51fc76bf-73b4-4205-929f-ee09d24fe481"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [],
      "source": [
        "# function that takes the x and y coordinates of a curve and returns a waveguide bend structure with a given width and thickness\n",
        "def line_to_structure(x, y, w, t):\n",
        "    cell = gdstk.Cell(\"bend\")  # define a gds cell\n",
        "\n",
        "    # add points to include the input and output straight waveguides\n",
        "    x = np.insert(x, 0, -inf_eff)\n",
        "    x = np.append(x, R_eff)\n",
        "    y = np.insert(y, 0, 0)\n",
        "    y = np.append(y, inf_eff)\n",
        "\n",
        "    cell.add(gdstk.FlexPath(x + 1j * y, w, layer=1, datatype=0))  # add path to cell\n",
        "\n",
        "    # define structure from cell\n",
        "    bend = td.Structure(\n",
        "        geometry=td.PolySlab.from_gds(\n",
        "            cell,\n",
        "            gds_layer=1,\n",
        "            axis=2,\n",
        "            slab_bounds=(0, t),\n",
        "        )[0],\n",
        "        medium=si,\n",
        "    )\n",
        "\n",
        "    return bend"
      ],
      "id": "328dacaa"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Use the `line_to_structure` function to create the circular bend\n",
        "structure."
      ],
      "id": "5da3cb5b-fa56-40bb-8090-45dbf7d6aa58"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [],
      "source": [
        "circular_bend = line_to_structure(x_circle, y_circle, w, t)"
      ],
      "id": "1cc1dcee"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Defined a\n",
        "[ModeSource](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSource.html)\n",
        "for excitation, a\n",
        "[ModeMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html)\n",
        "for detecting transmission, and a\n",
        "[FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html)\n",
        "to visualize the field propagation and leakage in the bend. The\n",
        "fundamental TE mode is excited in the input waveguide. All boundaries\n",
        "are set to\n",
        "[PML](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PML.html)\n",
        "for efficient absorption of the outgoing radiation. Using an [automatic\n",
        "nonuniform\n",
        "grid](https://www.flexcompute.com/tidy3d/examples/notebooks/AutoGrid/)\n",
        "is the most efficient and convenient. We set `min_steps_per_wvl=20` to\n",
        "achieve a very accurate result while still keeping the simulation cost\n",
        "at a minimum."
      ],
      "id": "d34e419b-4349-4392-98d9-e7409a1bed8c"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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88UStXLlS7733nmbMmKHy8nIFg0H17dtXJ5xwgs4555y41u88/PDDoxNtxTNr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\nDXrsdH+3SANvB4czhtf9+Mc/1t///neNHTtWP/3pT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JUrV6q0tFSHHHKIPvOZz+wx7uuv\nv67nn39ejY2NGjt2rE477TTNmTOn32zHHXecampq1NTUpHvuuUc//OEP+50eAOAyBgAAuN75559v\nJJlAIGCWLVuWcprLLrvMSDI+n8889dRTQ5rP6aefbiSZAw88sN/pbr31ViPJDLQrcf311xtJprKy\nco/n/vSnP9ljvPvuu+bRRx815eXl9r9ZH0cffbRpaWkxxhjT0tJiTj311D2m8fv95sYbbxww34kn\nnmgkmcMOO2zAaQEA7sJpwwAAeMAvf/lLTZ8+XYlEQuedd5527tzZ4/nHH39ct912myTpyiuv1Ikn\nnjjoeRhj9Je//EWSdMghhwx/oQfhlVde0RlnnKE5c+boxhtv1K233qqzzjpLUtd9Wr/85S/LGKOT\nTz5Zzz77rC6++GLdeuutuv766zV16lQlk0ldc801euqpp/qdz6GHHipJevPNN9XW1pbxXAAA53Da\nMAAAHjBixAg99NBDOvTQQ7VhwwZddNFFevTRRyVJDQ0N9qnE+++/v32K8WCtWbNG27ZtkyTtu+++\njix3ur71rW/p//2//6cf/ehH9r99/etf1w9/+ENde+21euihhzRmzBitWLFCb731Vo9ThC+77DLN\nnz9fGzZs0E9+8hMtXry4z/ksWLBAkhSLxfTWW2/pqKOOylwoAICjOPIKAIBH7LfffvrJT34iSXrs\nscf0i1/8QolEQueff76amppUXl6uBx98UEVFRUMaf9OmTfbnI0eOdGSZ07X33nvr+uuv3+Pfr7rq\nKhUXFyuZTOrmm2/WTTfdtMd7W6urq3XZZZdJkpYtW6aWlpY+5zNq1Cj78+55AQDuR3kFAMBDrrzy\nSvsCRldddZWWLFmil19+WZJ0++23a/r06UMe2zrqKkm1tbXDW9BBWrJkScqLS5WVldlltby8XGef\nfXbKrz/ooIMkdZ36vHLlyj7n0z1X97wAAPejvAIA4DH33HOPxo8fr2g0qvvuu0+SdOGFFw771jbd\nj1iWlZUNa6zBmj9/fp/PWUeBZ82apVAolHKa7kdUI5FIn2N1z7V79+5BLiUAIJcorwAAeMzIkSN7\n3OaltrbWvljTcNTU1Nif91cAM6GioqLP54LBYNrTSF3vZ+1L91zd8wIA3I/yCgCAx7S0tOhnP/uZ\n/XjHjh164oknhj1u96OXTU1Nwx7PjXbs2GF/3j0vAMD9KK8AAHjM1772Na1atUqBQECzZ8+WJH3l\nK1/RmjVrhjXupEmT7M83b948rLEs8XjckXGc0j1X97wAAPejvAIA4CH333+//T7Xa6+9Vk8//bSq\nq6u1e/dunXfeef2eMjuQsWPH2hd8euutt9L+uv6KbkNDw5CXJxPeeOMNSV23Hsr27YAAAMNDeQUA\nwCNWr16tr371q5KkhQsX6pprrtHEiRN11113SZLefPNNffe73x3WPI4++mhJ0uuvv57217zyyisp\n/z0ajerpp58e1vI47bXXXpMkHX744QoEAjleGgDAYFBeAQDwgM7OTp177rlqaWlRbW2t7r//fvn9\nXb/GzzjjDF166aWSpH//93/Xc889N+T5LF68WJL0wQcfpH0rmauuukrvv/9+j39ra2vTRRddpMbG\nRklSe3v7sI4KO6GtrU1//etfJf0zJwDAOyivAAB4wHe+8x27eFm3yunupptu0pw5c2SM0YUXXqit\nW7cOaT4nn3yyxo4dK2OMHnjggbS+JplMav78+TryyCN1wQUX6NRTT9WECRP0u9/9Tvvtt5+krvL9\nqU99Sj/60Y+GtFxOeOyxx9TW1qaSkpJh31YIAJB9lFcAAFzuqaee0s033yxJ+pd/+RedfPLJe0xT\nUlKiBx98UCUlJdqyZYu+8IUvyBgz6HmFQiFdfPHFkqT//u//Tutr/vjHP2ry5MlatmyZ7r//fj3x\nxBOKRCK6/PLL9eKLL2ratGmSpBdffHFYR4WHy3qv8LnnnquqqqqcLQcAYGh8Zii/2QAAQNY8/vjj\n2rZtm/x+v84//3yFw+E+p3355Ze1atUqSV1HUceMGTPo+W3cuFEzZsxQe3u7/va3v2nBggV7TPOL\nX/xCl19+uSTJGKNkMqlXX31VH330kcrKynTwwQerrq5OkrRr1y49++yzqqio0DHHHGMvf2Njo556\n6ilJXac+V1dXp1ye5557TuvXr9f48eN14oknppxm165devjhhyVJJ5xwgurr63s8v379ek2dOlXG\nGC1fvlzz5s0b9PcFAJBblFcAALCH733ve7rhhht0yimn6PHHH9/j+d7l1e0uueQS3XXXXbrooov0\n61//OteLAwAYAk4bBgAAe/jOd76jsWPH6oknnhjUbXPc6KOPPtJ//dd/qby8PKfvuQUADE8w1wsA\nAADcp7y8XI8++qhWrFihRCKR68UZlt27d+v222/XtGnTNG7cuFwvDgBgiCivAAAgpUMOOUSHHHJI\nrhdj2ObNm8d7XAEgD3DaMAAAAADA9TjyCgAABu3YY4/VXXfdlevFAAAUEK42DAAAAABwPU4bBgAA\nAAC4HuUVAAAAAOB6lFcAAAAAgOtRXgEAAAAArkd5BQAAAAC4HuUVAAAAAOB6lFcAAAAAgOtRXgEA\nAAAArkd5BQAAAAC4HuUVAAAAAOB6lFcAAAAAgOtRXgEAAAAArkd5BQAAAAC4HuUVAAAAAOB6lFcA\nAAAAgOtRXgEAAAAArkd5BQAAAAC4HuUVAAAAAOB6/x+k9Sfvb6aogwAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "# add a mode source that launches the fundamental te mode\n",
        "mode_spec = td.ModeSpec(num_modes=1, target_neff=n_si)\n",
        "mode_source = td.ModeSource(\n",
        "    center=(-buffer, 0, t / 2),\n",
        "    size=(0, 4 * w, 6 * t),\n",
        "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
        "    direction=\"+\",\n",
        "    mode_spec=mode_spec,\n",
        "    mode_index=0,\n",
        ")\n",
        "\n",
        "# add a mode monitor to measure transmission\n",
        "mode_monitor = td.ModeMonitor(\n",
        "    center=(R_eff, R_eff + buffer, t / 2),\n",
        "    size=(4 * w, 0, 6 * t),\n",
        "    freqs=freqs,\n",
        "    mode_spec=mode_spec,\n",
        "    name=\"mode\",\n",
        ")\n",
        "\n",
        "\n",
        "# add a field monitor to visualize field propagation and leakage in the bend\n",
        "field_monitor = td.FieldMonitor(\n",
        "    center=(R_eff / 2, R_eff / 2, t / 2),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    freqs=[freq0],\n",
        "    colocate=True,\n",
        "    name=\"field\",\n",
        ")\n",
        "\n",
        "\n",
        "run_time = 5e-13  # simulation run time\n",
        "\n",
        "# define simulation\n",
        "sim = td.Simulation(\n",
        "    center=(R_eff / 2, R_eff / 2, t / 2),\n",
        "    size=(R_eff + 2 * w + lda0, R_eff + 2 * w + lda0, 10 * t),\n",
        "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
        "    structures=[circular_bend],\n",
        "    sources=[mode_source],\n",
        "    monitors=[mode_monitor, field_monitor],\n",
        "    run_time=run_time,\n",
        "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),  # pml is applied in all boundaries\n",
        "    medium=sio2,\n",
        ")  # background medium is set to sio2 because of the substrate and upper cladding\n",
        "\n",
        "# visualize the circular bend structure\n",
        "sim.plot(z=0)\n",
        "plt.show()"
      ],
      "id": "0d1cc1b2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Submit the simulation job to the server."
      ],
      "id": "616704fd-d85c-47ee-94e8-fcc7be62e0e9"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "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\">04:15:07 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'circular_bend'</span> with resource_id                      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-79efed63-1f8d-45b3-bcb3-73c02d0baf8b'</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-79efed63-1f8d-45b3-bcb3-73c02d0baf8b\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-79efed63-1f8</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-79efed63-1f8d-45b3-bcb3-73c02d0baf8b\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">d-45b3-bcb3-73c02d0baf8b'</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\":\"56ad900458ca4fa7ad1adda4aee4039c\",\"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\">04:15:08 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.039</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>"
            ]
          }
        },
        {
          "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\">04:15:09 UTC </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"c156f360ef8646e2a0f72d858e0a755f\",\"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\">04:15:11 UTC </span>Loading results from data/simulation_data_circular.hdf5            \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "job = web.Job(simulation=sim, task_name=\"circular_bend\")\n",
        "sim_data_circular = job.run(path=\"data/simulation_data_circular.hdf5\")"
      ],
      "id": "1107e1c5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "After the simulation is complete, we first plot the bending loss as a\n",
        "function of wavelength. The circular bend exhibits a bending loss ~0.015\n",
        "dB, which is already pretty low. In many applications, circular\n",
        "waveguide bends can meet the requirement."
      ],
      "id": "c85a5674-8599-40fb-88a9-a038ebf672eb"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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AAFCPzPxs/ePTp7V8z4Y6ff0ie2juzc+qrV+IDSpDU0XYBgAAAAAAcApr9m/R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\nHtqpkvLSRh8f0iZAY3sO17hewzW0Uz+5OrtYsFo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          }
        }
      ],
      "source": [
        "# extract the transmission data from the mode monitor\n",
        "amp = sim_data_circular[\"mode\"].amps.sel(mode_index=0, direction=\"+\")\n",
        "T_circular = np.abs(amp) ** 2\n",
        "\n",
        "# plot the bending loss as a function of wavelength\n",
        "plt.plot(ldas, -10 * np.log10(T_circular))\n",
        "plt.xlim(1.5, 1.6)\n",
        "plt.ylim(0, 0.03)\n",
        "plt.xlabel(r\"Wavelength ($\\mu m$)\")\n",
        "plt.ylabel(\"Bending loss (dB)\")\n",
        "plt.show()"
      ],
      "id": "6c107e85"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "To inspect where the loss occurs in the bend, we plot the field\n",
        "intensity in log scale.\n",
        "\n",
        "The energy leakage manifests as field intensity outside of the\n",
        "waveguide. Here we can see that leakage occurs around the transition\n",
        "region where the straight waveguide meets the circular waveguide. This\n",
        "is due to the abrupt change of curvature."
      ],
      "id": "b2a881d3-55c9-496c-82a8-a705d01a8521"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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so0ePLvq4gwcPxj//+U9MmDAB//73v/Huu+9i6dKlaGpqwqhRo7DPPvtgn332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wFg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\npZPRhMohQgghhBBCCCGEkDGGi0OEEEIIIYQQQgghYwzLyshIYU2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P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\n+/9+myxLilqeIQAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "sim_data_circular.plot_field(\n",
        "    field_monitor_name=\"field\",\n",
        "    field_name=\"E\",\n",
        "    val=\"abs\",\n",
        "    scale=\"dB\",\n",
        "    vmin=-20,\n",
        "    vmax=30,\n",
        ")\n",
        "plt.show()"
      ],
      "id": "5c205e30"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Loss of an Euler Bend\n",
        "\n",
        "Next, we perform a similar simulation for the Euler waveguide bend and\n",
        "compare the results to the circular bend. The Euler waveguide bend\n",
        "structure is made by using the `line_to_structure` function we defined\n",
        "earlier. Since the simulation setup is the same as the previous one with\n",
        "the only difference being the structures, we can simply copy the\n",
        "previous simulation and update the structures."
      ],
      "id": "70c400e8-d241-4cff-b1a6-e261e8d5dcc7"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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E9e9uv+c/scvkyZO1bNmy+GyjmeNfJ0gc/5eWlqq5udm08u13zwHy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tB1J4xXRUmR1VUBYAMdBdjEj50SXCXCKwAAsLGmQEivzVmpDxav5xbhTowf0ktXHrO3irweq6sC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\nwGW+8Y1vaM2aNfL5fJo9e7Yk6Wtf+5rWrl07rHEnT55sf/zhh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          }
        }
      ],
      "source": [
        "# create the euler waveguide bend structure\n",
        "euler_bend = line_to_structure(x_euler, y_euler, w, t)\n",
        "\n",
        "# construct the simulation by copying the previous simulation and updating the structure\n",
        "sim = sim.copy(update={\"structures\": [euler_bend]})\n",
        "\n",
        "# visualize the euler bend structure\n",
        "sim.plot(z=0)\n",
        "plt.show()"
      ],
      "id": "bbba32f0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Submit the simulation to the server."
      ],
      "id": "717a1bbb-07e0-46c5-8928-95f95f5a8949"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "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\">04:15:12 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'circular_bend'</span> with resource_id                      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-7a5edff7-505a-4252-87f4-46f37909618b'</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-7a5edff7-505a-4252-87f4-46f37909618b\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-7a5edff7-505</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-7a5edff7-505a-4252-87f4-46f37909618b\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">a-4252-87f4-46f37909618b'</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\":\"09a24f0c48a04aa4b7256ae01adcba0c\",\"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\">04:15:13 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.039</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>"
            ]
          }
        },
        {
          "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\">04:15:14 UTC </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"5c4eb3dfb35a4bc1858506f7eeaf09ca\",\"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\">04:15:16 UTC </span>Loading results from data/simulation_data_euler.hdf5               \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "job = web.Job(simulation=sim, task_name=\"circular_bend\")\n",
        "sim_data_euler = job.run(path=\"data/simulation_data_euler.hdf5\")"
      ],
      "id": "c88c4b7e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "After the simulation is complete, we plot the bending loss of the Euler\n",
        "bend against that of the circular bend. Here we see that the Euler bend\n",
        "has a lower loss ~0.005 dB. In terms of absolute loss, both bends are\n",
        "very good. However, when a large number of waveguide bends are used in\n",
        "an integrated photonic circuit, the advantage of the Euler bend can be\n",
        "quite significant."
      ],
      "id": "3e853cc7-4a78-4078-8401-e2349e63bc1c"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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LVKhvc4X6BqmFb3OFnH59KmDzbeLNxl0AAIsg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\nVlxcLIOh6gcdl5SU6MUXX9TMmTN1xRVXaPLkyerWrZt8fX1VWFioI0e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JeUCQAAUNURtgEAAFRnqUelLT+Zt4ke31Z2Xy8fqcUg6aLrzXXY/ENcUyMA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\nwMPCtnbt2kkyZ4vt329nJsBpG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          }
        }
      ],
      "source": [
        "# extract the transmission data from the mode monitor\n",
        "amp = sim_data_euler[\"mode\"].amps.sel(mode_index=0, direction=\"+\")\n",
        "T_euler = np.abs(amp) ** 2\n",
        "\n",
        "# plotting the losses\n",
        "plt.plot(ldas, -10 * np.log10(T_circular), label=\"Circular bend\")\n",
        "plt.plot(ldas, -10 * np.log10(T_euler), label=\"Euler bend\")\n",
        "plt.xlim(1.5, 1.6)\n",
        "plt.ylim(0, 0.03)\n",
        "plt.xlabel(r\"Wavelength ($\\mu m$)\")\n",
        "plt.ylabel(\"Bending loss (dB)\")\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "cb9d9510"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Similarly, we plot the field intensity in log scale. From the plot, we\n",
        "can see that the leakage around the transition regions is indeed\n",
        "reduced. This is due to the fact that the curvature of the Euler curve\n",
        "varies smoothly."
      ],
      "id": "f455662f-aad3-45c4-919b-a1e2288e6e1d"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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jDX3xxReaO3eubNtWhw4dtO2222rw4MFpV53JRR+ZyvW1TjzxRB133HHxtL9f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\nSX379q3XcvaDBw+O33/ttdc828WOdev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99NBDKi8vz/k1VqxYIUmqrKxM265Vq1Yp5+Sy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33MK1XMbRX6kEeKXMhryXqv/S5FpkMe/48hj/SxbNLNWMoeQCFqlMmh//znP/GJocMPP1xnnXWW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tFUB+4LSFC4pyqA2VUNQf3VqVkPgKis2mfWE6bePmi6LprSLIUQ5Zg2mpqikRTQ8k8fRN1TC6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\nRERERERkwv4fQjOdUKMLInsAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "sim_data_euler.plot_field(\n",
        "    field_monitor_name=\"field\",\n",
        "    field_name=\"E\",\n",
        "    val=\"abs\",\n",
        "    scale=\"dB\",\n",
        "    vmin=-20,\n",
        "    vmax=30,\n",
        ")\n",
        "plt.show()"
      ],
      "id": "2d0b2ae7"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}