{
"cells": [
{
"cell_type": "markdown",
"id": "0cf39405",
"metadata": {},
"source": [
"# Broadband bi-level taper polarization rotator-splitter"
]
},
{
"cell_type": "markdown",
"id": "e3f37fcb",
"metadata": {},
"source": [
"**This notebook contains large simulations. Running the entire notebook will cost about 30 FlexCredits.**\n",
"\n",
"A polarization splitter-rotator (PSR) is a key component in silicon photonics that is used to manage the polarization state of light. It is a critical component in silicon photonic integrated circuits, enabling more complex and versatile photonic devices and systems. As the name suggests, the PSR has two main functions:\n",
"\n",
"**Splitting**: It separates incoming light into its TE and TM components. This is useful because it allows each polarization to be processed separately, which can be important for certain applications.\n",
"\n",
"**Rotating**: It can convert light from one polarization to another. For example, it can convert TE-polarized light to TM-polarized light, or vice versa. This is important because it allows the light to be correctly interfaced with other devices that might require a specific polarization.\n",
"\n",
"In another case study, we have introduced a [compact PSR](../notebooks/PolarizationSplitterRotator.html), which has a small footprint but narrow bandwidth. In the present study, we delve into the exploration of a broadband PSR. This device employs a bi-level taper to transition the TM0 mode input light into the TE1 mode. Subsequently, a long adiabatic coupler transforms this TE1 mode into the TE0 mode. Conversely, the TE0 input light primarily passes through the PSR with minimal alterations. The broadband PSR demonstrates superior bandwidth and insertion loss compared to the compact design, marking a significant improvement. However, it's worth noting that this enhanced performance comes with a trade-off in terms of size. The broadband PSR has a considerably larger footprint, with a length longer than **0.5 mm**, which causes a difficult simulation in conventional numerical tools. For Tidy3D, even such a large 3D full-wave simulation is fast.\n",
"\n",
"The design is based on `Wesley D. Sacher, Tymon Barwicz, Benjamin J. F. Taylor, and Joyce K. S. Poon, \"Polarization rotator-splitters in standard active silicon photonics platforms,\" Opt. Express 22, 3777-3786 (2014),`[`DOI: 10.1364/OE.22.003777`](https://doi.org/10.1364/OE.22.003777).\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "8d1a8953",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import gdstk\n",
"\n",
"import tidy3d as td\n",
"import tidy3d.web as web\n",
"from tidy3d.plugins.mode import ModeSolver"
]
},
{
"cell_type": "markdown",
"id": "413e6b41",
"metadata": {},
"source": [
"## Simulation Setup"
]
},
{
"cell_type": "markdown",
"id": "94b310dd",
"metadata": {},
"source": [
"The simulation wavelength range is from 1500 nm to 1580 nm."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "7f7d6cae",
"metadata": {},
"outputs": [],
"source": [
"lda0 = 1.54 # central wavelength\n",
"ldas = np.linspace(1.5, 1.58, 101) # wavelength range of interest\n",
"freq0 = td.C_0 / lda0 # central frequency\n",
"freqs = td.C_0 / ldas # frequency range of interest\n",
"fwidth = 0.4 * (np.max(freqs) - np.min(freqs)) # frequency width of the source"
]
},
{
"cell_type": "markdown",
"id": "c729fe1e",
"metadata": {},
"source": [
"In this wavelength range, silicon and silicon oxide have minimal dispersion. Therefore, we use a constant refractive index for both. "
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "0da6e324",
"metadata": {},
"outputs": [],
"source": [
"# define silicon and silicon dioxide media from material library\n",
"si = td.Medium(permittivity=3.47**2)\n",
"sio2 = td.Medium(permittivity=1.44**2)"
]
},
{
"cell_type": "markdown",
"id": "3d3e4044",
"metadata": {},
"source": [
"Define geometric parameters. The parameters are indicated in the figure below. In addition, we add a side wall angle to mimic realistic fabrication and see if this will degrade the device performance. \n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "a6c80d2a",
"metadata": {},
"outputs": [],
"source": [
"L_blt = 100 # length of the bi-level taper\n",
"L_ac = 300 # length of the adiabatic coupler\n",
"L_s = 5 # length of the straight waveguide between the bi-level taper and the adiabatic coupler\n",
"L_t = 30 # length of the top waveguide taper after the adiabatic coupler\n",
"\n",
"w_1 = 0.45 # input waveguide width\n",
"w_2 = 0.55 # waveguide width at the center of the bi-level taper\n",
"w_pes = 1.55 # width of the widest part of the partially etched slab\n",
"w_3 = 0.85 # waveguide width at the output of the bi-level taper\n",
"w_4 = 0.2 # waveguide width at the beginning of the bottom waveguide\n",
"w_5 = 0.65 # top waveguide width at the end of the adiabatic coupler\n",
"w_6 = 0.5 # output waveguide width\n",
"gap = 0.2 # gap size of the adiabatic coupler\n",
"\n",
"t_pes = 0.09 # thickness of the partially etched slab\n",
"t_si = 0.22 # thickness of the silicon layer\n",
"\n",
"inf_eff = 1e5 # effective infinity\n",
"\n",
"sidewall_angle = 10 * np.pi / 180 # side wall angle"
]
},
{
"cell_type": "markdown",
"id": "c334bcd2",
"metadata": {},
"source": [
"Define the partially etched slab structure."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "e4af6ae6",
"metadata": {},
"outputs": [],
"source": [
"# define the partially etched slab\n",
"vertices = [\n",
" (0, w_1 / 2),\n",
" (L_blt / 2, w_pes / 2),\n",
" (L_blt, w_3 / 2),\n",
" (L_blt, -w_3 / 2),\n",
" (L_blt / 2, -w_pes / 2),\n",
" (0, -w_1 / 2),\n",
"]\n",
"\n",
"partially_etched_slab = td.Structure(\n",
" geometry=td.PolySlab(\n",
" vertices=vertices,\n",
" axis=2,\n",
" slab_bounds=(0, t_pes),\n",
" sidewall_angle=sidewall_angle,\n",
" ),\n",
" medium=si,\n",
")"
]
},
{
"cell_type": "markdown",
"id": "eb211d2d",
"metadata": {},
"source": [
"Define the waveguide structures."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "49362701",
"metadata": {},
"outputs": [],
"source": [
"# define the top waveguide\n",
"vertices = [\n",
" (-inf_eff, w_1 / 2),\n",
" (0, w_1 / 2),\n",
" (L_blt / 2, w_2 / 2),\n",
" (L_blt, w_3 / 2),\n",
" (L_blt + L_s, w_3 / 2),\n",
" (L_blt + L_s + L_ac, -w_3 / 2 + w_5),\n",
" (L_blt + L_s + L_ac + L_t, -w_3 / 2 + w_5 / 2 + w_6 / 2),\n",
" (L_blt + L_s + L_ac + L_t, -w_3 / 2 + w_5 / 2 - w_6 / 2),\n",
" (L_blt + L_s + L_ac, -w_3 / 2),\n",
" (L_blt, -w_3 / 2),\n",
" (L_blt / 2, -w_2 / 2),\n",
" (0, -w_1 / 2),\n",
" (-inf_eff, -w_1 / 2),\n",
"]\n",
"\n",
"top_waveguide = td.Structure(\n",
" geometry=td.PolySlab(\n",
" vertices=vertices,\n",
" axis=2,\n",
" slab_bounds=(0, t_si),\n",
" sidewall_angle=sidewall_angle,\n",
" ),\n",
" medium=si,\n",
")\n",
"\n",
"# define the bottom waveguide after the bi-level taper\n",
"vertices = [\n",
" (L_blt + L_s, -w_3 / 2 - gap),\n",
" (L_blt + L_s + L_ac, -w_3 / 2 - gap),\n",
" (L_blt + L_s + L_ac, -w_3 / 2 - gap - w_6),\n",
" (L_blt + L_s, -w_3 / 2 - gap - w_4),\n",
"]\n",
"\n",
"bottom_waveguide = td.Structure(\n",
" geometry=td.PolySlab(\n",
" vertices=vertices,\n",
" axis=2,\n",
" slab_bounds=(0, t_si),\n",
" sidewall_angle=sidewall_angle,\n",
" ),\n",
" medium=si,\n",
")"
]
},
{
"cell_type": "markdown",
"id": "34820834",
"metadata": {},
"source": [
"Define the waveguide bends after the adiabatic coupler using `gdstk`. For bending structures, using `gdstk` is easy and convenient."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "0f203ab6",
"metadata": {},
"outputs": [],
"source": [
"R = 450 # bend radius\n",
"theta = np.pi / 30 # s bend angle\n",
"\n",
"cell = gdstk.Cell(\"bends\") # define a gds cell\n",
"\n",
"# define the top waveguide bend\n",
"delta = 0.01 # small offset to ensure waveguide continuity\n",
"bend_1 = gdstk.FlexPath(\n",
" (L_blt + L_s + L_ac - delta, -w_3 / 2 - gap - w_6 / 2), w_6, layer=1, datatype=0\n",
")\n",
"bend_1.horizontal(L_blt + L_s + L_ac)\n",
"bend_1.arc(R, np.pi / 2, np.pi / 2 - theta)\n",
"bend_1.arc(R / 3, -np.pi / 2 - theta, -np.pi / 2)\n",
"bend_1.horizontal(inf_eff)\n",
"cell.add(bend_1)\n",
"\n",
"# define the bottom waveguide bend\n",
"bend_2 = gdstk.FlexPath(\n",
" (L_blt + L_s + L_ac + L_t - delta, -w_3 / 2 + w_5 / 2), w_6, layer=1, datatype=0\n",
")\n",
"bend_2.horizontal(L_blt + L_s + L_ac + L_t)\n",
"bend_2.arc(R, -np.pi / 2, -np.pi / 2 + theta)\n",
"bend_2.arc(R / 3, np.pi / 2 + theta, np.pi / 2)\n",
"bend_2.horizontal(inf_eff)\n",
"cell.add(bend_2)\n",
"\n",
"# define the waveguide bend tidy3d geometries\n",
"bends_geo = td.PolySlab.from_gds(\n",
" cell,\n",
" gds_layer=1,\n",
" axis=2,\n",
" slab_bounds=(0, t_si),\n",
" sidewall_angle=sidewall_angle,\n",
")\n",
"\n",
"# define the waveguide bend tidy3d structures\n",
"bends = [td.Structure(geometry=bend_geo, medium=si) for bend_geo in bends_geo]"
]
},
{
"cell_type": "markdown",
"id": "e61f0135",
"metadata": {},
"source": [
"Define source, monitors, and simulation. Here we will define a [ModeSource](../_autosummary/tidy3d.ModeSource.html) that launches the TE0 mode into the input waveguide. Two [ModeMonitors](../_autosummary/tidy3d.ModeMonitor.html) are added to the top and bottom waveguides to monitor the transmission. A [FieldMonitor](../_autosummary/tidy3d.FieldMonitor.html) is added in the $xy$ plane to visualize the field distribution."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "72a73176",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"run_time = 15e-12 # simulation run time\n",
"\n",
"Lx = 510 # simulation domain size in x\n",
"Ly = 11 # simulation domain size in y\n",
"Lz = 9 * t_si # simulation domain size in z\n",
"\n",
"x0 = 250 # simulation domain center in x\n",
"y0 = -0.5 # simulation domain center in y\n",
"z0 = t_si / 2 # simulation domain center in z\n",
"\n",
"# define a mode source that launches the TE0 mode\n",
"mode_spec = td.ModeSpec(num_modes=2, target_neff=3.47)\n",
"mode_source_te = td.ModeSource(\n",
" center=(-lda0 / 2, 0, t_si / 2),\n",
" size=(0, 4 * w_1, 6 * t_si),\n",
" source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
" direction=\"+\",\n",
" mode_spec=mode_spec,\n",
" mode_index=0,\n",
")\n",
"\n",
"# define a mode monitor at the top waveguide output\n",
"mode_monitor_top = td.ModeMonitor(\n",
" center=(x0 + Lx / 2 - lda0, 3.2, t_si / 2),\n",
" size=mode_source_te.size,\n",
" freqs=freqs,\n",
" mode_spec=mode_spec,\n",
" name=\"mode_top\",\n",
")\n",
"\n",
"# define a mode monitor at the bottom waveguide output\n",
"mode_monitor_bottom = td.ModeMonitor(\n",
" center=(x0 + Lx / 2 - lda0, -4.2, t_si / 2),\n",
" size=mode_source_te.size,\n",
" freqs=freqs,\n",
" mode_spec=mode_spec,\n",
" name=\"mode_bottom\",\n",
")\n",
"\n",
"# define a field monitor to visualize field intensity distribution in the xy plane\n",
"field_monitor = td.FieldMonitor(\n",
" center=(0, 0, t_pes),\n",
" size=(td.inf, td.inf, 0),\n",
" freqs=[freq0],\n",
" interval_space=(2, 2, 1),\n",
" name=\"field\",\n",
")\n",
"\n",
"# define simulation\n",
"sim_te = td.Simulation(\n",
" center=(x0, y0, z0),\n",
" size=(Lx, Ly, Lz),\n",
" grid_spec=td.GridSpec.auto(min_steps_per_wvl=12, wavelength=lda0),\n",
" structures=[partially_etched_slab, top_waveguide, bottom_waveguide] + bends,\n",
" sources=[mode_source_te],\n",
" monitors=[mode_monitor_top, mode_monitor_bottom, field_monitor],\n",
" run_time=run_time,\n",
" boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
" medium=sio2,\n",
")\n",
"\n",
"# visualize the simulation\n",
"ax = sim_te.plot(z=t_pes)\n",
"ax.set_aspect(\"auto\")"
]
},
{
"cell_type": "markdown",
"id": "bc157aec",
"metadata": {},
"source": [
"We can also visualize the cross sections at different $x$ positions of the bi-level taper."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "fee64d30",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(3, 1, figsize=(4, 7), tight_layout=True)\n",
"\n",
"for i in range(3):\n",
" sim_te.plot_eps(x=i * L_blt / 2, freq=freq0, ax=ax[i])\n",
" ax[i].set_xlim(-1, 1)\n",
" ax[i].set_ylim(-0.1, 0.3)"
]
},
{
"cell_type": "markdown",
"id": "abaa2ce9",
"metadata": {},
"source": [
"## Mode Analysis "
]
},
{
"cell_type": "markdown",
"id": "5abca817",
"metadata": {},
"source": [
"We can intuitively visualize the mode evolution alone the device to see physically why it functions as a PSR. This requires us to perform mode analysis at different $x$ positions. First, let's perform the mode analysis at the input waveguide ($x=0$) and solve for two modes. \n",
"\n",
"As expected, the first mode is TE0 mode and the second mode is the TM0 mode. Note that the grid looks a bit coarse. If a finer resolution for the mode profile is needed, either use a finer grid or use Tidy3D's [waveguide plugin](../notebooks/WaveguidePluginDemonstration.html) for the same analysis. "
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "9a1b4c64",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mode_solver = ModeSolver(\n",
" simulation=sim_te,\n",
" plane=td.Box(center=(0, 0, t_si/2), size=(0, 4*w_1, 5*t_si)),\n",
" mode_spec=mode_spec,\n",
" freqs=[freq0],\n",
")\n",
"mode_data = mode_solver.solve()\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8,3), tight_layout=True)\n",
"mode_data.intensity.sel(mode_index=0).plot(x='y', y='z', cmap='magma', ax=ax1)\n",
"mode_data.intensity.sel(mode_index=1).plot(x='y', y='z', cmap='magma', ax=ax2)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "d24f12d8",
"metadata": {},
"source": [
"Similarly, we move the mode analysis plane to the bi-level taper section at $x=L_{blt}/2$. The first mode is still the TE0 while the second mode becomes a hybrid mode due to the fact that the partially etched slab breaks the vertical mirror symmetry."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "ddb50db8",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mode_solver = mode_solver.copy(update={\"plane\": td.Box(center=(L_blt/2, 0, t_si/2), size=(0, 2*w_pes, 5*t_si))})\n",
"mode_data = mode_solver.solve()\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8,3), tight_layout=True)\n",
"mode_data.intensity.sel(mode_index=0).plot(x='y', y='z', cmap='magma', ax=ax1)\n",
"mode_data.intensity.sel(mode_index=1).plot(x='y', y='z', cmap='magma', ax=ax2)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "80c2faf4",
"metadata": {},
"source": [
"The same mode analysis at the end of the bi-level taper section shows the first mode as the TE0 and the second mode as the TE1. That is, when TM0 mode is launched at the input waveguide, it adiabatically converts into the TE1 mode."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "fd969dee",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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JxCq+nz/99JOiwvDnn3/i4sWLmDBhgk3XoZrD+FCO8cE8xgfGBzlHxQd35laVCGe1eS0sLERubi4aN26MoKAgs+l++OEHfPHFF5g4caKY7l//+heGDh2qSJeXl4d//vOfGDNmDB566KEqBWxpaSk+/fRT3HfffSbv0iQmJorj0/ft27fKKCOXL182+xjQ0d577z3cuHFDsW3Xrl1Yvnw5Fi9eXKtj569duxbvvvsu/vOf/9TpO8ODBg3Cjh07sGnTJrHda1lZGZYvX4769euLw1oOGjQI7733HlauXImXXnoJQPnd1uXLlyvOFx4ejj59+uDdd9/F5MmTqxSMtfX3kJCQAB8fHyxfvhz9+/cX270uW7asStrHHnsMaWlp2L59e5W7YwUFBahfv754l3D8+PEwGo1YvXo1vLy80L59e4wbNw7p6elWR7JxVJvX9u3bo23btnjvvffwz3/+U7zrtnLlSqhUKvzjH/+w6TpUcxgfyjE+mMb4wPhQGftEWOdWlQhHt3n96quv8L///Q9AecF87NgxcRKcBx98UGxrunnzZowdO1ZRG71w4QIee+wxPPjgg4iMjMTJkyexatUqdOrUSdGp56677hLbxFaoeKzbvn37KgEEKJ+U5+rVqybH/gbK27SuXLkSo0aNwl133YXhw4cjLCwM2dnZ+Oabb9CjRw+88847t/PRoLCwUCyMvv/+ewDAO++8g+DgYAQHByM5ORkA0L9//yrHVtxZ6t27d5UhMWvKlStX8OyzzyI2Nha+vr7473//q9j/8MMPWx3ubcyYMVi/fj3OnTtXo0MgTpgwAe+++y7GjBmDrKwsxMTE4LPPPsP333+PZcuWieOvDxkyBD169MD06dNx/vx5xMbG4osvvkBhYWGVc65YsQL33XcfOnbsiPHjx6Nly5a4dOkSMjMzcfHiRfHvvCaFhYXhxRdfxPz58/HAAw9g0KBBOHLkCL799tsq7YBfeuklbNmyBQ888ADGjBmDLl26oLi4WOxgev78eYSGhmLt2rX45ptvsG7dOjRt2hRA+ay+I0eOxMqVK/Hss89azJMjy4s33ngDDz74IPr374/hw4fjxIkTeOedd/D000+L7ZXJeRgfyjE+VMX4wPhgiiPLi3379mHfvn0AyitmxcXFYnnRq1cvs7PU13nOGhbKVvYM4edoSUlJNg3pVTGEmXxbfn6+8NBDDwmRkZGCRqMRWrRoIUybNq3KkH6mWBvCb/jw4YKPj49w9epVi+fZvXu3kJiYKAQFBQl+fn5Cq1athDFjxgg//fSTxeNsGcLP0nCJzZs3t3isI4fwa9++vcX8VXyG1oZ3rDz8oKkh/IYNGybUq1dPuHbtmk15vnz5stVzmnsfly5dEsaOHSuEhoYKGo1G6Nixo8lh5K5evSqMGjVKCAwMFIKCgoRRo0YJR44cMTns3NmzZ4XRo0cLkZGRgo+Pj9CkSRPhgQceED777DOL76cyc0P4Vf73rPjuyofLNBgMwuzZs4XGjRsL9erVE/r06SOcOHGiyjkFoXwoyhkzZgitW7cWNBqNEBoaKtx7773C4sWLBb1eL+Tk5AhBQUHCkCFDquTx4YcfFgICAoTff//drvd2uzZv3ix07txZ8PX1FZo2bSrMnDlT0Ov1tZoHT8L4UBXjQznGB8aHuhQfKv7dTS32DJlc16gEoQZ77BDdprS0NMyePRuXL1+GSqVCo0aNavR6xcXFuHnzJiZPnoyvvvoKRUVF4r6IiAiMHj26yqgkRERU+xgfiJzL/ebgJrcUFhZmU0eo2/XKK68gLCwMH3/8sWL7yZMncfPmTUybNq3G80BERLZjfCByDj6JoDrt999/Fyfa8fb2rvERU3755RdkZ2fX2vXqEmvD2dWrV89ix1AiotrE+FB7GB/IFFYiiAgArI5UkZSUhHXr1tVOZoiIqM5gfCBT3Gp0JiKqPmvD2UVFRdVSToiIqC5hfCBT+CSCiIiIiIjswo7VRERERERkFzZnssJoNOLPP/9EgwYNrLYJJKK6RRAEXL9+HVFRUVCr7b9ncuvWLej1epvSajQa+Pn52X0Ncl2MD0SurbZihLvGB1YirPjzzz8RHR3t7GwQ0W3IyckRZyy11a1bt9CiRRNotfk2pY+MjMS5c+fcMlCQaYwPRO6hpmOEu8YHViKsqJhCvrzlF+80EbkWAYBR9j22nV6vh1abj/PnPkZgoL/FtDrdDcS0GA69Xu92QYLMY3wgcnU1HyPcOT6wEmGF9IhaBQYJItd0O01NAuv7IbB+PcuJjMZqn59cF+MDkXuo0RjhxvGBlQgiIkuMRutBwI2DBBERWWAtRrhxfODoTERElhiMgMFgZbE9SMyfPx933303GjRogPDwcAwdOhRnzpxRpOnTpw9UKpVieeaZZxRpsrOzMXjwYPj7+yM8PBwvvfQSysrKFGn27NmDu+66C76+vmjdujUngyIicjSrMYKVCCIiz1Rxl8naYqO9e/di0qRJOHDgANLT01FaWor+/fujuLhYkW78+PHIzc0Vl0WLFon7DAYDBg8eDL1ejx9++AHr16/HunXrMGvWLDHNuXPnMHjwYPTt2xdHjx7FlClT8PTTT2P79u23/5kQEVE5B8YHV8PmTERElji4OdO2bdsUr9etW4fw8HBkZWWhV69e4nZ/f39ERkaaPMeOHTvw888/Y+fOnYiIiEDnzp0xd+5cTJs2DWlpadBoNFi1ahVatGiBJUuWAADatWuH/fv3480330RiYqLN+SUiIgvYnImIiExy8JOIygoLCwEAISEhiu0bNmxAaGgoOnTogBkzZuDGjRvivszMTHTs2BERERHitsTEROh0Opw8eVJMk5CQoDhnYmIiMjMzq51XIiKqxMHxwZYmr7du3cKkSZPQqFEj1K9fH8OGDcOlS5cUaWqjyavLVSJWrFiBmJgY+Pn5oXv37jh06JDF9AUFBZg0aRIaN24MX19f3Hnnndi6dWst5ZaIXJ3KWAaVwcpiLC+YdTqdYikpKbF4bqPRiClTpqBHjx7o0KGDuP3JJ5/Ef//7X+zevRszZszAhx9+iJEjR4r7tVqtogIBQHyt1WotptHpdLh582b1P5A6jPGBiGqb1RhhLLN+Ehlbmrw+//zz+Oqrr/Dpp59i7969+PPPP/HII4+I+2uryatLNWfatGkTUlJSsGrVKnTv3h3Lli1DYmIizpw5g/Dw8Crp9Xo9/v73vyM8PByfffYZmjRpggsXLiA4OLj2M09ErsmO5kyVJx5LTU1FWlqa2cMmTZqEEydOYP/+/YrtEyZMENc7duyIxo0bo1+/fjh79ixatWplX/49BOMDETmFg5szWWvyWlhYiNWrV2Pjxo24//77AQBr165Fu3btcODAAdxzzz211uTVpZ5ELF26FOPHj8fYsWMRGxuLVatWwd/fH2vWrDGZfs2aNcjPz8eXX36JHj16ICYmBr1790ZcXFwt55yIXJZRsG1B+aynhYWF4jJjxgyzp01OTsbXX3+N3bt3W50ptXv37gCA3377DUD57KeVH11XvK7oR2EuTWBgIOrVszLvhQtifCAip7AxPlRX5SavWVlZKC0tVTRXbdu2LZo1ayY2V62tJq8uU4nQ6/XIyspSvGG1Wo2EhASzb3jLli2Ij4/HpEmTEBERgQ4dOuD111+HwWAwe52SkpIqTRKIyIPZ0SciMDBQsfj6+lY5nSAISE5OxubNm7Fr1y60aNHCahaOHj0KAGjcuDEAID4+HsePH0deXp6YJj09HYGBgYiNjRXTZGRkKM6Tnp6O+Pj4an0MdRnjAxE5jY3xwd7mruWnrtrkVavVQqPRVHlqGhERYbU5a8U+S2nsafLqMpWIK1euwGAwmHzDFR9IZb///js+++wzGAwGbN26Fa+++iqWLFmCefPmmb3O/PnzERQUJC6VmycQkYcxGABDmZXF/A/PyiZNmoT//ve/2LhxIxo0aACtVgutVisW2mfPnsXcuXORlZWF8+fPY8uWLRg9ejR69eqFTp06AQD69++P2NhYjBo1Cv/73/+wfft2zJw5E5MmTRIrLs888wx+//13TJ06FadPn8a///1vfPLJJ3j++ecd/xk5GeMDETmN1RhRHh+io6MV5cf8+fOtnrqiyevHH39c0++iWlymElEdRqMR4eHheO+999ClSxc8/vjjeOWVV7Bq1Sqzx8yYMUPRHCEnJ6cWc0xEdY6DR2dauXIlCgsL0adPHzRu3FhcNm3aBADQaDTYuXMn+vfvj7Zt2+KFF17AsGHD8NVXX4nn8PLywtdffw0vLy/Ex8dj5MiRGD16NObMmSOmadGiBb755hukp6cjLi4OS5YswX/+8x8O7/oXxgcicggb44M9zV0B801eIyMjodfrUVBQoEh/6dIlq81ZK/ZZSmNPk1eX6VgdGhoKLy8vk2/Y3FjqjRs3ho+PD7y8vMRt7dq1g1arhV6vh0ajqXKMr6+vySYIROShbGnTakebV0GwnDY6Ohp79+61ep7mzZtbHUmoT58+OHLkiM15c1WMD0TkNNZixF/7Kpq5WiMIAiZPnozNmzdjz549VZq8dunSBT4+PsjIyMCwYcMAAGfOnEF2drbYXDU+Ph6vvfYa8vLyxIElTDV5rRxD7G3y6jJPIjQaDbp06aJo42s0GpGRkWH2Dffo0QO//fYbjLK7hL/88gsaN25sMkAQEVVRw/NE0O1jfCAip3FwfLDW5DUoKAjjxo1DSkoKdu/ejaysLIwdOxbx8fG45557ANRek1eXqUQAQEpKCt5//32sX78ep06dwsSJE1FcXIyxY8cCAEaPHq14PDRx4kTk5+fjueeewy+//IJvvvkGr7/+OiZNmuSst0BELkZlKIOqzMpisG8ccHI8xgcicgarMcLO+GCtySsAvPnmm3jggQcwbNgw9OrVC5GRkfjiiy/E/bXV5NVlmjMBwOOPP47Lly9j1qxZ0Gq16Ny5M7Zt2yZ2psvOzoZaLdWLoqOjsX37djz//PPo1KkTmjRpgueeew7Tpk1z1lsgIlcjCOWLtTTkVIwPROQU1mKEnfHBWpNXAPDz88OKFSuwYsUKs2lqo8mrSrAltx5Mp9MhKCgIgBcAlbOzQ0R2EQAYUFhYaFNbVLmK737BwaUIrG+5k5mu6CaCu6dU6zrkuhgfiFxdzccId44PLvUkgoio1pUZyhdraYiIyPNYixFuHB9YiSAissSWjnHsWE1E5JmsxQg3jg+sRBARWWIUbKhEsFUoEZFHshYj3Dg+sBJBRGQJO1YTEZE5Du5Y7UpYiSAissRgQ58Ig/u2eSUiIgusxQg3jg+sRBARWcI+EUREZA77RBARkUmsRBARkTmsRBARkUlGwXrHODfuOEdERBZYixFuHB9YiSAissRgsN6m1Y3bvBIRkQXWYoQbxwdWIoiILGFzJiIiMofNmYiIyCQ2ZyIiInPYnImIiEziZHNENUoFVY2dW0Dd+m560nv1GJxsjoiITDLa0CfC6L5tXomIyAJrMcKN4wMrEURElrA5ExERmcPmTEREZBIrEUREZA4rEUREZBJHZyIiInM4OhMREZlUZixfrKUhIiLPYy1GuHF8YCWCiMgSPokgIiJz+CSCiIhMEoTyxVoaIiLyPNZihBvHB1YiiIgsYcdqIiIyhx2riYjIJIMBKLMyzre1eSSIiMg9WYsRbhwfWIkgIrKETyKIiMgcPokgIiKTjLChElErOSEiorrGWoxw4/igdnYG7LVixQrExMTAz88P3bt3x6FDh2w67uOPP4ZKpcLQoUNrNoNE5F4q7jJZW6hOYIwgolrlwfHBpSoRmzZtQkpKClJTU3H48GHExcUhMTEReXl5Fo87f/48XnzxRfTs2bOWckrVpbLlP5W6Gou3A5ZqXNfG/6juEgxGmxZbzZ8/H3fffTcaNGiA8PBwDB06FGfOnFGkuXXrFiZNmoRGjRqhfv36GDZsGC5duqRIk52djcGDB8Pf3x/h4eF46aWXUFZWpkizZ88e3HXXXfD19UXr1q2xbt26an8OroAxwnnsL6+lshUqL3FxRFlt+/mqUYbXasypgXjFGORwjowPrsalKhFLly7F+PHjMXbsWMTGxmLVqlXw9/fHmjVrzB5jMBgwYsQIzJ49Gy1btqzF3BKRW3Dwk4i9e/di0qRJOHDgANLT01FaWor+/fujuLhYTPP888/jq6++wqeffoq9e/fizz//xCOPPCLuNxgMGDx4MPR6PX744QesX78e69atw6xZs8Q0586dw+DBg9G3b18cPXoUU6ZMwdNPP43t27c75nOpgxgjiKjWefCTCJfpE6HX65GVlYUZM2aI29RqNRISEpCZmWn2uDlz5iA8PBzjxo3Dd999Z/U6JSUlKCkpEV/rdLrbyzgRuTYHd6zetm2b4vW6desQHh6OrKws9OrVC4WFhVi9ejU2btyI+++/HwCwdu1atGvXDgcOHMA999yDHTt24Oeff8bOnTsRERGBzp07Y+7cuZg2bRrS0tKg0WiwatUqtGjRAkuWLAEAtGvXDvv378ebb76JxMRE+z4DF1AbMYLxgYiq8OCO1S7zJOLKlSswGAyIiIhQbI+IiIBWqzV5zP79+7F69Wq8//77Nl9n/vz5CAoKEpfo6OjbyjcRubga7hNRWFgIAAgJCQEAZGVlobS0FAkJCWKatm3bolmzZuKP4czMTHTs2FFRHiYmJkKn0+HkyZNiGvk5KtJY+kHtymojRjA+EFEVHvwkwmUqEfa6fv06Ro0ahffffx+hoaE2HzdjxgwUFhaKS05OTg3mkojqOsFghFBmZfmrzatOp1Ms8rvWphiNRkyZMgU9evRAhw4dAABarRYajQbBwcGKtPIfw1qt1uSP5Yp9ltLodDrcvHmzeh+GG6lOjGB8IKLKrMYIN+4T4TLNmUJDQ+Hl5VWlc+GlS5cQGRlZJf3Zs2dx/vx5DBkyRNxmNJb/Q3p7e+PMmTNo1apVleN8fX3h6+vr4NwTkcuyozlT5TvTqampSEtLM3vYpEmTcOLECezfv/92c+nxaiNGMD4QURUe3JzJZSoRGo0GXbp0QUZGhjgEn9FoREZGBpKTk6ukb9u2LY4fP67YNnPmTFy/fh1vvfUWH0MTkW3sqETk5OQgMDBQ3GzpB2dycjK+/vpr7Nu3D02bNhW3R0ZGQq/Xo6CgQPE0Qv5jODIyssrQpRU/nuVpTP2gDgwMRL169Sy/HxfEGEFETsFKhGtISUlBUlISunbtim7dumHZsmUoLi7G2LFjAQCjR49GkyZNMH/+fPj5+YnNAypUBOTK24mIzLKjEhEYGKioRJgiCAImT56MzZs3Y8+ePWjRooVif5cuXeDj44OMjAwMGzYMAHDmzBlkZ2cjPj4eABAfH4/XXnsNeXl5CA8PBwCkp6cjMDAQsbGxYpqtW7cqzp2eni6ewx0xRhBRrWMlwjU8/vjjuHz5MmbNmgWtVovOnTtj27ZtYrvf7OxsqNVu282DiJxAMAgQDJaDgLX9cpMmTcLGjRvxf//3f2jQoIHYhyEoKAj16tVDUFAQxo0bh5SUFISEhCAwMBCTJ09GfHw87rnnHgBA//79ERsbi1GjRmHRokXQarWYOXMmJk2aJD79eOaZZ/DOO+9g6tSpeOqpp7Br1y588skn+Oabb6r5SdR9jBFEVNusxQh74oOrUQmCYPXdHTt2zO4Tx8bGwtvbpeooJul0OgQFBQHwAjghS42zadIbVXX+HRzxw6EanaOsf73Kk8F9CxnnEgAYUFhYaPUJQWUV3/2rrz6JQD+N5bS39Gg0d6NN11GZ+ftdu3YtxowZA6B8srkXXngBH330EUpKSpCYmIh///vfirb9Fy5cwMSJE7Fnzx4EBAQgKSkJCxYsUJS7e/bswfPPP4+ff/4ZTZs2xauvvipew1EYHxgfAAtlt9ny2nSZ7IiJz2wvT20o0yuX4TbHn5p7f+Yo37eZ92YmJnluDKr5GGFPfHA1NpXinTt3hkqlgg31DQDlY3P/8ssvnLiHiFyfg+eJsKUc9fPzw4oVK7BixQqzaZo3b16luVJlffr0wZEjR2zOW3UwPhCRR2NzJusOHjyIsLAwq+kEQWB7UiJyG4KxfLGWxpMxPhCRp7IWI9w5PthUiejduzdat25dZdxyc3r16uWWo3+QfSw+trXhEbfieJXaZJryU8lfe5ncrnJAcyZB9nhYUJQKBmU6+T6VbF22vfKjYxUfPdddBgEos/J5u3GbV2sYHzyXsoyuXKar/9osL5O9Zes+UkqVqZ8iFWX27f0CExTlrtHsPnk5rizDzZ/bXOypvE8ef1QWYln1SHk1CmXSulE2R41su6Ay3eRJvpnxxU7WYoQbxweb/oJ3795tc4AAgK1bt6Jx48bVzRMRUZ0hGAWbFk/F+EBEnszR8WHfvn0YMmQIoqKioFKp8OWXXyr2jxkzBiqVSrEMGDBAkSY/Px8jRoxAYGAggoODMW7cOBQVFSnSHDt2DD179oSfnx+io6OxaNEiu987h6kgIrLEaONCRESex8Hxobi4GHFxcRb7xA0YMAC5ubni8tFHHyn2jxgxAidPnkR6ero4H9GECRPE/TqdDv3790fz5s2RlZWFN954A2lpaXjvvffsyqvdw2MIgoDPPvsMu3fvRl5enjjDZ4UvvvjC3lMSEdVdwl+LtTTE+EBEnsdajLAzPgwcOBADBw60mMbX11cxWp/cqVOnsG3bNvz444/o2rUrAGD58uUYNGgQFi9ejKioKGzYsAF6vR5r1qyBRqNB+/btcfToUSxdulRR2bDG7icRU6ZMwahRo3Du3DnUr18fQUFBioWIyJ0IZYJNCzE+EJHnsTU+6HQ6xVJSUmLlzObt2bMH4eHhaNOmDSZOnIirV6+K+zIzMxEcHCxWIAAgISEBarUaBw8eFNP06tULGo00NG1iYiLOnDmDa9eu2ZwPu59EfPjhh/jiiy8waNAgew8lInI5HJ3JdowPRORpbB2dKTo6WrE9NTUVaWlpdl9vwIABeOSRR9CiRQucPXsWL7/8MgYOHIjMzEx4eXlBq9UiPDxccYy3tzdCQkLEyU21Wi1atGihSFMxKadWq0XDhg1tyovdlYigoCCO701EnsOWNq2sRABgfCAiD2QtRvy1LycnRzHZnK+vb7UuN3z4cHG9Y8eO6NSpE1q1aoU9e/agX79+1TpnddndnCktLQ2zZ8/GzZs3ayI/RER1SsVdJmsLMT4QkeexNT4EBgYqlupWIipr2bIlQkND8dtvvwEAIiMjkZeXp0hTVlaG/Px8sR9FZGQkLl26pEhT8dpcXwtT7H4S8dhjj+Gjjz5CeHg4YmJi4OPjo9h/+PBhe09JRFRnCUZAMFhPQ4wPROR5rMWImo4PFy9exNWrV8Whs+Pj41FQUICsrCx06dIFALBr1y4YjUZ0795dTPPKK6+gtLRULKfT09PRpk0bm5syAdWoRCQlJSErKwsjR45EREQEVGYnDSNPYXZSOcXfhtp8WvmkPDZMRqRWSx2BAMBL9lotO8ZLcYzyT11VaWIgcwTZBERGozRhj0E+qY9QqjjGYNTLjpGtyyf8qXSMINunmJSOEwM5HftE2I7xwf2Zm2CuSpn6V/mrVkt3W729/MV1jXcDcd1HLU0+WFHWV0wMp5wsTiqPK19POYmbRH68wajsyCovx+X75GW1JYq4VGnCPG/Z+5bHH3mMqs4kqPLJ+wBlvkvKdOJ6qeGGuF4mW4cgpVfMZapifKkuR89YXVRUJD5VAIBz587h6NGjCAkJQUhICGbPno1hw4YhMjISZ8+exdSpU9G6dWskJiYCANq1a4cBAwZg/PjxWLVqFUpLS5GcnIzhw4cjKioKAPDkk09i9uzZGDduHKZNm4YTJ07grbfewptvvmlXXu2uRHzzzTfYvn077rvvPnsPJSJyPewTYTPGByLyODb2ibDVTz/9hL59+4qvU1JSAJTfpFm5ciWOHTuG9evXo6CgAFFRUejfvz/mzp2raB61YcMGJCcno1+/flCr1Rg2bBjefvttcX9QUBB27NiBSZMmoUuXLggNDcWsWbPsGt4VqEYlIjo6WtExhIjInfFJhO0YH4jI0zj6SUSfPn0gCOafAG3fvt3qOUJCQrBx40aLaTp16oTvvvvOvsxVYveztCVLlmDq1Kk4f/78bV2YiMgVCAaVTQsxPhCR5/Hk+GD3k4iRI0fixo0baNWqFfz9/at0nMvPz3dY5oiInI1PImzH+EBEnsbRTyJcid2ViGXLltVANoiI6iZBUEEQLN9JsrbfUzA+EJGnsRYj3Dk+VGt0JiIiT8EnEbZjfCAiT8MnEXbIzs62uL9Zs2bVzgy5AdnwcyrFevmoAZWH7wOUw9zJh2/1UQwHGCCu+3opO276qYKkddSXrUvH+AiVhoUVpLypZdc3VhpGwaCShhQs8b4lrushTaZ1C0WKY24JhdIxBmnIPX1ZsbguH34PUA4Fq9guH45PlkaQ5UtVqf8Vh+RzLKNRBaOVNq1Go/veabIH44N7MjuMt7xbZaUhViuGdvXxkspkf02ouB7i00JcjzJES2lU5WX1ZZSXo7dUUlkpjxWaSmW6D2RDpwpSOoPadBlefm6pTC4RrovrekEq3+XDypbnQYod3ippNBxfVX1FOn9BNjOx4Ceuy2NPZYJsmNUy2XW9ZddsIItrAFCklvKa63dWXC8svSiu35CFlzLF2zEz3KtiKF3lvz3jS1XWYoQ7xwe7KxExMTEWx/42GKzMykRE5EqMKgjWgoAbBwl7MD4QkcexFiPcOD7YXYk4cuSI4nVpaSmOHDmCpUuX4rXXXnNYxoiI6gJBqHyXznQaYnwgIs9jLUa4c3ywuxIRFxdXZVvXrl0RFRWFN954A4888ohDMkZEVBewY7XtGB+IyNN4csdq++dcN6NNmzb48ccfHXU6s1asWIGYmBj4+fmhe/fuOHTokNm077//Pnr27ImGDRuiYcOGSEhIsJieiKgyo0Fl00Lm1VZ8ABgjiKh2eXJ8sPtJhE6nU7wWBAG5ublIS0vDHXfc4bCMmbJp0yakpKRg1apV6N69O5YtW4bExEScOXMG4eHhVdLv2bMHTzzxBO699174+flh4cKF6N+/P06ePIkmTZrUaF7dnaKzlawNtLwztZda6gBWzzcMAKAvkzqvVfBWS53O/HyCxfUGXpHieojQWFwPRUPF8SHeUge7hr7S9QNl/e4CKv2la2TVZy/ZWzFUeuyol/WzLi6T1nWyjmrXSpTtvPNLpZ1XvK5J271zxfUiQ57imJul0vj5BlkHapWss15JaYF0gFHW8U9VqeOf7D2wE9zt45MI2zkzPgCMEbVCXt5DXvb7KpJ5/VWu19NI5XWoT2txvbPXneL6wzFSOfXtn+WFs09JSPnx3mHivmBZwd3QV/mdqy8r471lu0plReD1UuVbKdRLOwtkhf31UilhaaXBNnxk917re0kXDdIoO0wHy/Inz5uvLPZUHrSnuEw6RifLm65USlnPW3nvt31QPXH96z+kwUjOyKZoMQhS8BJk62UG6X2qZLkR5P2a3LktjoN48pMIuysRwcHBVTrOCYKA6OhofPzxxw7LmClLly7F+PHjMXbsWADAqlWr8M0332DNmjWYPn16lfQbNmxQvP7Pf/6Dzz//HBkZGRg9enSN5pWI3IPRqLI6uoY7j75hD2fGB4Axgohqn7UY4c7xwe5KxO7duxWv1Wo1wsLC0Lp1a3h72306m+n1emRlZWHGjBmKayckJCAzM9Omc9y4cQOlpaUICQmpqWwSkZthx2rbOSs+AIwRROQc7Fhth969e9dEPqy6cuUKDAYDIiIiFNsjIiJw+vRpm84xbdo0REVFISEhwWyakpISlJRIYydXfjxPRJ7FaFTDaLTcfczafk/hrPgA1E6MYHwgosqsxQh3jg82vbMtW7agtLTUesK/bN26FTdv3rSesBYtWLAAH3/8MTZv3gw/Pz+z6ebPn4+goCBxiY6ONpuWiNyfUVDZtHgqd4gPgG0xgvGBiCrz5PhgUyXi4YcfRkFBgc0nHT58OHJzc60ntENoaCi8vLxw6dIlxfZLly4hMjLSzFHlFi9ejAULFmDHjh3o1KmTxbQzZsxAYWGhuOTk5Nx23onIdQl/TSRkbfFUdSE+ALUTIxgfiKgyT44PNjVnEgQBY8aMga+vr/XEAG7dumU9kZ00Gg26dOmCjIwMDB06FABgNBqRkZGB5ORks8ctWrQIr732GrZv346uXbtavY6vr6/N75MqSHVRlUr6k/Lyku7m1fcpb2JQYCi/A6nxko3c5CO1P26kihHXm8hGZGrmL52rWX3lF7KZv0G2fkNcjwgoFteDApR/k37+0p1TtZfUYLHyUGy3bkhDXBQUSaNgaIulUTAu3lT+vWTfkNJlF/nJtkujlPzhpRxh6qr6vLheXHpFXPdRS+cqM0jvoUyQ3fmt0uCSswI7EvtEWFYX4gNQOzGC8aESlVT2q1XKnxPef5X/frKyLtIQJa7HNpJGMxrU+TdxffelVgCAjiHln3OTetKoQa3rS387zRoUKa7XMEgq+701UhmovyXlK1/nrzgm57o0+t3Fm9JwfldKpHK7pNIQSvLRlRr5Sjuj65Uo0jWpL8Wf0CBpXeMnjY5kKFPex9XppOte1DUQ138vluLA+WJljIoPLRDXT+uCxfWr15uJ6ze8pTSlZVJe5CMBykdtIvt4cp8Im55EJCUlITw8XPEY19IyYsQIBAYGOjyzKSkpeP/997F+/XqcOnUKEydORHFxsTgSx+jRoxWd6hYuXIhXX30Va9asQUxMDLRaLbRaLYqKisxdgohIwSCoYTBaWQT72rzu27cPQ4YMQVRUFFQqFb788kvF/jFjxkClUimWAQMGKNLk5+eLZW1wcDDGjRtXpWw7duwYevbsCT8/P0RHR2PRokXV+gwsqSvxAWCMIKLaZzVG2BkfXIlNTyLWrl1b0/mwyeOPP47Lly9j1qxZ0Gq16Ny5M7Zt2yZ2pMvOzoZaLf1jrVy5Enq9Hv/4xz8U50lNTUVaWlptZp2IXJRgQ5tWe8cBLy4uRlxcHJ566imzszgPGDBAUfZWvgM+YsQI5ObmIj09HaWlpRg7diwmTJiAjRs3Aijv9Nu/f38kJCRg1apVOH78OJ566ikEBwdjwoQJduXXkroSHwDGCCKqfdZiBOeJqEOSk5PNPpres2eP4vX58+drPkNE5NZqYrK5gQMHYuDAgRbT+Pr6mm3Lf+rUKWzbtg0//vij2ARn+fLlGDRoEBYvXoyoqChs2LABer0ea9asgUajQfv27XH06FEsXbrUoZWIuoYxgohqkydPNue+z1iIiBzAaOMClN/9ly/y4UDttWfPHoSHh6NNmzaYOHEirl69Ku7LzMxEcHCwog1/QkIC1Go1Dh48KKbp1asXNBqprXfF7M3XrkkzqRMRUfXZGh/cESsRREQWGIwq630i/hp9Izo6WtH+f/78+dW65oABA/DBBx8gIyMDCxcuxN69ezFw4EAYDOUdRrVaLcLDwxXHeHt7IyQkBFqtVkxjas6Ein1ERHT7rMcI930S4XLNmch5VJB9EVQq09shjbjhpZbugHqryttzV4zK5OcdLO4LVjUR1xsLUvONFvWlESnulPXDjG2gHN2lTSPprmpEa6lDpG9raSQOVdNGyjfTSHZCH2kEJpTolemuXZfOnZ0v5e036Zras/UVh5zJl0YjqScboUqtktYNRcofdyVe0sgipV7SGPoqWT3fW3Yug1H2GVQaVcONB4JwCnuaM+Xk5Cg6DVd3JJ/hw4eL6x07dkSnTp3QqlUr7NmzB/369avWOYkcw/RofKpKozNVjCznr5bKw0YqqUyO9pfuz/pFS9+vOwLL15v9NYJe2yBpQr+WbaSncfXuClJcTxXTXHrhK8Ue6KSYEPZbnuKY6BNSOX7xQrC4nlskjR54w+AlPwT+XtLIT/IRmKKaFyjTdZDil7q1rFlisDTqUuV4E3peyl/UkT/F9UanpBEMfdXB8kPgr5FG6pPHyQtF0ud+RSUdc0N9WcqX7N/MIBtpSzmckHK0P3m8FxhtALA5ExERmWEUbFsAIDAwULE4ajjQli1bIjQ0FL/9Vj4UZmRkJPLylD+IysrKkJ+fL/ajiIyMNDlnQsU+IiK6fbbGB3dUrScRGRkZyMjIQF5eHoxGZWuvNWvWOCRjRER1QU10rLbXxYsXcfXqVTRuXD53Snx8PAoKCpCVlYUuXboAAHbt2gWj0Yju3buLaV555RWUlpbC56+nbenp6WjTpg0aNmxo+kIOwPhARJ6ETyLsMHv2bPTv3x8ZGRm4cuUKrl27pliIiNyJQVDZtNijqKgIR48exdGjRwEA586dw9GjR5GdnY2ioiK89NJLOHDgAM6fP4+MjAw89NBDaN26NRITEwEA7dq1w4ABAzB+/HgcOnQI33//PZKTkzF8+HBERZVP6PXkk09Co9Fg3LhxOHnyJDZt2oS33noLKSkpDv185BgfiMjTODo+uBK7n0SsWrUK69atw6hRo2oiP0REdYrRhnkirO2v7KeffkLfvn3F1xU/7JOSkrBy5UocO3YM69evR0FBAaKiotC/f3/MnTtX0Txqw4YNSE5ORr9+/aBWqzFs2DC8/fbb4v6goCDs2LEDkyZNQpcuXRAaGopZs2bV6PCujA9E5GmsxQh744MrsbsSodfrce+999ZEXshVyTpkyTtqqVVSh2WjUN75y9urvLOZRi11RvYXpI5mQV5Sh7iGGumLF+krdR6LbqCcTTa8hawzdUeps52qXbS4LjSPVhwjhIZKL2RDYEKv7OimunJFej+h2dJ1/HOk65fqFMcU66Xz5eulz+BKidRBr8FNjeIYf0HqEVekljrklRikc/trpDyXGaSO2GVC5WFEZZ3eZW0x2QmuegSoYISV5kxW9lfWp08fCIL5f4/t27dbPUdISIg4sZw5nTp1wnfffWdX3m4H44NnUcnKeLVa+XPCS11e4a0nK9uCfaU0jf2kcqvsqtTsrZl/+UARLeuXl+vNm0kDWvh3kzXD6xaruJ6xRQvphayyrboi60jc4FfFMf5lv0v5KZHKWrVs8LLiUh/5IaivkWJERGNp4A15R2oAUHdtJeWt7Z3SDnlTwkpDQKvDz0pvwfizuB6VXyiu591QXudsofT5PtZGilGnCpuJ678XS9f0VkufjV7emVrRMEXZmZossxYj7I0PrsTu5kxPP/201cBFROQuBMG2hRgfiMjzeHJ8sPtJxK1bt/Dee+9h586d6NSpk9hhr8LSpUsdljkiImczCGoYBMv3W6zt9xSMD0TkaazFCHeOD3ZXIo4dO4bOnTsDAE6cOKHYp1K57yMbIvJMtgzR585D+NmD8YGIPI21GOHO8cHuSsTu3btrIh9ERHVSTXSsdleMD0TkadixupouXrwIAGjatKlDMkNEVNcIUFntGOfOHeeqi/GBiDyBtRjhzvHB7kqE0WjEvHnzsGTJEhQVlY+e0KBBA7zwwgt45ZVXoFa7b9svsk4lG+3Bz1saKemG4SoAacQmtaxPv+o2J04X5PNZyXswyZ8hCspJr2CQjT4hnxDLUGlUCkOZ6XPIzl351PKJZW73MWaZURoJpL6PfIIwfs9qiy3jfLvzOOD2YHzwLCoL5XjFSH2+gp+4raGv9D3p3voPcX3fj9LoeQFe5WWwv+avEf0CZIWon6yPjZc02l15Bsx8B+WFcFnl8l0qvI0G6Xj597lyp1jFPnnZX7mwl71WyRIqUlWajFFOpZauo/aSjlJXepu/F0ujLSV2lEYxDDwipfGBlEY5ipYN38fKn6s79xKuJmsxwp3jg92ViFdeeQWrV6/GggUL0KNHDwDA/v37kZaWhlu3buG1115zeCaJiJyFfSJsx/hARJ6GfSLssH79evznP//Bgw8+KG7r1KkTmjRpgmeffZZBgojcCvtE2I7xgYg8DftE2CE/Px9t27atsr1t27bIz883cQQRkesSAKvT9LnxjSa7MD4QkaexFiPcOT7Y3UA1Li4O77zzTpXt77zzDuLi4hySKSKiusIAFcoEy4vBjTvO2YPxgYg8jbUY4c7xwe4nEYsWLcLgwYOxc+dOxMfHAwAyMzORk5ODrVu3OjyD5GqkeqmXSuoEd7O0/C6kxjsAAFAmlIj7bqluiOvFBqljWKFe+vPMK5HWc67XV1yx3nnpmAi1Tlz3vfG7lCvtVcUxqkaB0gv5hFglekU6XLsurhovFkh5/vWWuH4pp4HikJyiAGlfidT571qJdD/iukF5nVtexeJ6mUH6bIxG6b0ZhVJQ7RMElaKzvLk0xPjgrgTZvVQVzHcGVh5jVPwfAHxkty3rt5TWTxyWOl838y8fzEJXUt4ZuOiSRjr+F6kc9/b6RXE9dZ6yjBddKRBXjb/mKXbpjkkdrXNypYErcm/4i+s3DMoO3AG3pGPk3/tonwJFOn+clfJWIMURVYgs9lSONxevSLtOSufLuyQNUnKlRDmBo04WFvR50mddJh8HRPZvICh7g8MqdqS2ylqMsDc+7Nu3D2+88QaysrKQm5uLzZs3Y+jQobLzCUhNTcX777+PgoIC9OjRAytXrsQdd9whpsnPz8fkyZPx1VdfQa1WY9iwYXjrrbdQv770++nYsWOYNGkSfvzxR4SFhWHy5MmYOnWqXXm1+0lE79698csvv+Dhhx9GQUEBCgoK8Mgjj+DMmTPo2bOnvacjIqrTjDYuxPhARJ7H0fGhuLgYcXFxWLFihcn9ixYtwttvv41Vq1bh4MGDCAgIQGJiIm7dkm5ujhgxAidPnkR6ejq+/vpr7Nu3DxMmTBD363Q69O/fH82bN0dWVhbeeOMNpKWl4b333rMrr9WaJyIqKood5IjII3B0JvswPhCRJ3H06EwDBw7EwIEDTe4TBAHLli3DzJkz8dBDDwEAPvjgA0RERODLL7/E8OHDcerUKWzbtg0//vgjunbtCgBYvnw5Bg0ahMWLFyMqKgobNmyAXq/HmjVroNFo0L59exw9ehRLly5VVDassakScezYMXTo0AFqtRrHjh2zmLZTp042X5yIqK7jPBGWMT4QkSezdZ4InU6n2O7r6wtfX19Th5h17tw5aLVaJCQkiNuCgoLQvXt3ZGZmYvjw4cjMzERwcLBYgQCAhIQEqNVqHDx4EA8//DAyMzPRq1cvaDRSc8HExEQsXLgQ165dQ8OGDWELmyoRnTt3hlarRXh4ODp37gyVSgXBRDs5lUoFQ+XJuoiIXBhnrLaM8YGIPJmtM1ZHR0crtqempiItLc2ua2m1WgBARESEYntERIS4r6I8lvP29kZISIgiTYsWLaqco2KfQysR586dQ1hYmLjuTCtWrMAbb7wBrVaLuLg4LF++HN26dTOb/tNPP8Wrr76K8+fP44477sDChQsxaNCgWsyxB5DPxilIMzzrjUXiuvGv7RUzMN9SSTVynZfUUSwPUgc7r2Kpy45RNuPmLYOUBgCu6qUvS7RO6uQc/stNcT04UDm8pK+/1MFOPhuofNZSALhVLOWt8Ho9cV1bHCKu59xQ5ufCDakjXk6xIFuXOkxfUl9WHHPdKOWn1CB1sjbIZqyWf57yz7nKlNkyglsPLlc72JzJsroUHwDGiNok7zRtlJdJAAzG8vLupmzQCPngEpePS3dAi2WH/nmz/GdJiaF8gIqiUqkMjiqUysDQk8qO1H71L0n5khWJN69Lx18uUA6CkS0bpCPnppSfyyVSHCipFBP8vQWTxzSXDagBAM1ypLyGNMyV5TNHXDeUKs9dVCjFudwCKa79Ljv3+WLlz7a8m7L189L7yZd91jdl8bZMFlPs7mRNJtnanCknJweBgVLHenufQtRFNnWsbt68OVR/TX1+4cIFNGnSBM2bN1csTZo0wYULF2o0s5s2bUJKSgpSU1Nx+PBhxMXFITExEXl5eSbT//DDD3jiiScwbtw4HDlyBEOHDsXQoUNx4sSJGs0nEbmPigBhbfFUdSU+AIwRRFT7bI0PgYGBiqU6lYjIyEgAwKVLlxTbL126JO6LjIysUuaVlZUhPz9fkcbUOeTXsIXdozP17dvX5KRBhYWF6Nu3r72ns8vSpUsxfvx4jB07FrGxsVi1ahX8/f2xZs0ak+nfeustDBgwAC+99BLatWuHuXPn4q677jI5jjkRkSnGv9q7WlrceUZSezgzPgCMEURU+6zFCEfGhxYtWiAyMhIZGRniNp1Oh4MHD4rDasfHx6OgoABZWVliml27dsFoNKJ79+5imn379qG0VBojOD09HW3atLG5KRNQjUqEIAjiXSe5q1evIiAgwMQRjqHX65GVlaXoTKJWq5GQkIDMzEyTx2RmZirSA+UdR8ylJyKqjEO82s5Z8QFgjCAi53B0fCgqKsLRo0dx9OhRAOXNRI8ePYrs7GyoVCpMmTIF8+bNw5YtW3D8+HGMHj0aUVFR4lwS7dq1w4ABAzB+/HgcOnQI33//PZKTkzF8+HBERUUBAJ588kloNBqMGzcOJ0+exKZNm/DWW28hJSXFrrzaPMTrI488AqC8c9yYMWMUj2EMBgOOHTuGe++9166L2+PKlSswGAwmO5OcPn3a5DFardZi5xNTSkpKUFIitV2v3JueiDwLJ5uzztnxAaidGMH4QESVOXqyuZ9++knx5Lbih31SUhLWrVuHqVOnori4GBMmTEBBQQHuu+8+bNu2DX5+Uv/MDRs2IDk5Gf369RMnm3v77bfF/UFBQdixYwcmTZqELl26IDQ0FLNmzbJreFfAjkpEUFD5jImCIKBBgwaoV0/qZKrRaHDPPfdg/Pjxdl28Lpo/fz5mz57t7GzUSYpZS2VtwAXZC4NR6uVVXKLsPAxIne8qOt0BQJlBOkbvLXVGK1RLHcvyiqQ2eheKlJ3jGsqGKGvoK3Usa+AjrQdU+kvXyJ7Becm+34ZKbdv1slsI8s5/OtlEo9dKlCPO5JdK7+cqCqXtKqlz3XWD8kfKrTIpnbxjtbzj2039NSmfss+5SudpzjDqULbcSfL0JxGMD+5NZWbkGaOsHFdVatig/6scK/D+U9x2RlaOf3RGGqnmpqwILfyrbM35a4CKn3XS7NH+V6W/q3oXwxTXk8+GLS/Hb8jK7ULZ7M4AcPWWlLBALyW8bpASGioNXOGjkgbOaCAbFKSRn3KAjYa+Ul4DfaS8+iknwFaQ57XITLy5VSlI1fOW/m225kif79mbUkwpgtQ+Xh5vjWYH6OBgHfawFiPsjQ99+vQxOcJdBZVKhTlz5mDOnDlm04SEhGDjxo0Wr9OpUyd89913duZOyeZKxNq1awEAMTExePHFF2v80XRloaGh8PLystiZpDJzHUcsdRqZMWOG4nGOTqerMiwXEXkOg1C1cmkqjSdzdnwAaidGMD4QUWXWYoQ7xwe7+0SkpqY6JUBoNBp06dJF0ZnEaDQiIyND7ExSWXx8vCI9UN5xxFx6oHzIrco96InIc5WPrqGysjg7l3WDs+IDUDsxgvGBiCqzHiOcncOaY9OTiLvuugsZGRlo2LAh/va3v5nsOFfh8OHDDstcZSkpKUhKSkLXrl3RrVs3LFu2DMXFxRg7diwAYPTo0WjSpAnmz58PAHjuuefQu3dvLFmyBIMHD8bHH3+Mn376Ce+9916N5ZGI3Ivw12ItjaeqK/EBYIwgotpnLUa4c3ywqRLx0EMPiR3lKnp/O8Pjjz+Oy5cvY9asWdBqtejcuTO2bdsmdozLzs6GWi09XLn33nuxceNGzJw5Ey+//DLuuOMOfPnll+jQoYOz3gIRuZgyoXyxlsZT1ZX4ADBGEFHtsxYj3Dk+qARLvTcIOp3ur06DXoCFac09jaKjnayjmUoldTTz8Q6qepyqPIB7qaXO0D5qqQOan3ewuF7fS+pYHWKU2ig3gqWO1bJOb1JWarljtbTTkR2r1SrpTZSUXpWlqdRbUJDyw05wAgADCgsL7W56UvHdX9R2Oup5+VlMe9NwC1NPL6jWdch1eUp8UJb3KtmqNAqXl6wcBwCNT/n3IMi3mbjtTuEucf2BKKkcvyL1z4beoLyMRi1dTz5bdL1KHZSd37FamaGGvlK+A2WxqCY7VrcLkvZtypFiyq/4SVwvvCXNmK0vk0YXExSDdchiWqWfiO4XU2o+RrhzfLC5Y3WFnJwcqFQqNG3aFABw6NAhbNy4EbGxsXYPDUVuQvGjVVJadk32qryEr6hElEIqSUtlFQr5j+kitdThMd/7d3E9x0v5JfQtlUZh8i2TApNGkI0QI2gUx3jJ/vTVsgBprFRAGiCV5HqVXrYuFbg3hULFMXpBGmFKb5Stl0mVg1LDDcUxRqN0bqMgRVTBzIgZgiAv5JWVGHIsASoYrfxAFNz4B6Q9GB/ck2JkPvnfumx0H3m5BQClZeVl33XZzZMzmh/F9SvaGHHdB1L5rBb+ihV/xQy1rOumlyDFDW8of43Ly/EyWVlZqpIqBDdVynL3pkr6EX3LKJXjekH2g7pS+eoF2Y0yozRylN9NZVzyuyHFpXqClM5H8IE5RjP5LlHdkvJTaawfo+wH/94i6TO5AilmXtdL/wZlstgjvwHlfpWD2mMtRrhzfLC7Y/WTTz6J3bt3AygfYzshIQGHDh3CK6+8YnG4KSIiVyQIti3E+EBEnseT44PdlYgTJ06gW7duAIBPPvkEHTt2xA8//IANGzZg3bp1js4fEZFTVbR3tbbYY9++fRgyZAiioqKgUqnw5ZdfKvYLgoBZs2ahcePGqFevHhISEvDrr78q0uTn52PEiBEIDAxEcHAwxo0bh6KiIkWaY8eOoWfPnvDz80N0dDQWLVpUnY/AZowPRORpHB0fXIndlYjS0lKxE93OnTvx4IMPAgDatm2L3NxcS4cSEbkcwcbFHsXFxYiLi8OKFStM7l+0aBHefvttrFq1CgcPHkRAQAASExNx65bUrGHEiBE4efIk0tPT8fXXX2Pfvn2KJkM6nQ79+/dH8+bNkZWVhTfeeANpaWk1OvIQ4wMReRpHxwdXYnefiPbt22PVqlUYPHgw0tPTMXfuXADAn3/+iUaNGjk8g0REzlQ+Brj1NPYYOHAgBg4caHKfIAhYtmwZZs6ciYceeggA8MEHHyAiIgJffvklhg8fjlOnTmHbtm348ccf0bVrVwDA8uXLMWjQICxevBhRUVHYsGED9Ho91qxZA41Gg/bt2+Po0aNYunRpjfVPYHwgIk9jLUa48zwRdj+JWLhwId5991306dMHTzzxBOLi4gAAW7ZsER9jExG5C3v6ROh0OsVSUlJi+eQmnDt3TuxPUCEoKAjdu3dHZmYmACAzMxPBwcFiBQIAEhISoFarcfDgQTFNr169oJGNXpaYmIgzZ87g2jX5oAeOw/hARJ7Gk/tE2P0kok+fPrhy5Qp0Oh0aNmwobp8wYQL8/f0tHElE5HrsmSciOjpasT01NRVpaWl2XU+rLR/+t2JugwoRERHiPq1Wi/DwcMV+b29vhISEKNK0aNGiyjkq9snLb0dhfCAiT+PJ80TYXYkAAC8vL5SVlWH//v0AgDZt2iAmJsaR+aI6ztxwcCrFcK/GKvsFcfg+2XB88qEBDdLDsVLZnBMlpQXiepFKGvoVANRq6c9YPv+ESvagTa1WDqunNvMQzmgiz+I+ozQcnlExtGFZpXTSa8FMuqpzO8j2KT5bM/mR3drg0Hw1y5Y2rRX7c3JyFOOAV/QP8CSMD25OXvaoZMOfyoapBoCyv4anlg9TLZ8D57pa6iPjrZa+JxXDgFf8X04FC5MsyLMoG/ZUXh4bKpXVBmOJbF3Kv7mhtcvJ44psqHCV8ueUl+w9ecn2yY+xRJ4H+XrlGKVMJ71v+TDiBqPUl8polA8hLo9DsvMyvtjFWoxw50/Q7uZMxcXFeOqpp9C4cWP06tULvXr1QlRUFMaNG4cbN25YPwERkQupaO9qbQGAwMBAxVKdSkRkZPnEipcuKSvLly5dEvdFRkYiLy9Psb+srAz5+fmKNKbOIb+GozE+EJGnsTU+uCO7KxEpKSnYu3cvvvrqKxQUFKCgoAD/93//h7179+KFF16oiTwSETmNAJVNi6O0aNECkZGRyMjIELfpdDocPHgQ8fHxAID4+HgUFBQgKytLTLNr1y4YjUZ0795dTLNv3z6Ulkp3G9PT09GmTZsaacoEMD4QkeepzfhQ19jdnOnzzz/HZ599hj59+ojbBg0ahHr16uGxxx7DypUrHZk/IiKnMghAmflWbmIaexQVFeG3334TX587dw5Hjx5FSEgImjVrhilTpmDevHm444470KJFC7z66quIiorC0KFDAQDt2rXDgAEDMH78eKxatQqlpaVITk7G8OHDERUVBaB84rfZs2dj3LhxmDZtGk6cOIG33noLb775pn2ZtQPjAxF5Gmsxwt744ErsrkTcuHGjSoc/AAgPD+fjaiJyO/b0ibDVTz/9hL59+4qvU1JSAABJSUlYt24dpk6diuLiYkyYMAEFBQW47777sG3bNvj5+YnHbNiwAcnJyejXrx/UajWGDRuGt99+W9wfFBSEHTt2YNKkSejSpQtCQ0Mxa9asGhveFWB8ICLP48l9IuyuRMTHxyM1NRUffPCBGNBu3ryJ2bNni4/aiYjcRU3ME9GnTx8IFsb9U6lUmDNnDubMmWM2TUhICDZu3GjxOp06dcJ3331nX+ZuA+MDEXkaT54nwu5KxFtvvYXExEQ0bdpUHAP8f//7H/z8/LB9+3aHZ5CIyJmEv/6zloYYH4jI81iLEe4cH+yuRHTo0AG//vorNmzYgNOnTwMAnnjiCYwYMQL16tVzeAaJiJzJIFhv0+rObV7twfhARJ7GWoxw5/hQrXki/P39MX78eEfnhdyAosZtormG6q/9ij3yFyppFANBNn+EUTaQmMrSSAcmxhYvZ/dAZCaYm7PBfI8qm+Z8AMxOaenOdzBcRU00Z3JnjA/uTV4mqeTFvXzOCAD4a84Cg0E2T4NRmidCLy/TFeW2bXNB2E42d1GVslo+N4JsvgUby11FLKoSe8y9P7nqvFeD2T3m5reQzx9hbj4IxXkYd+zC5kx2OnPmDJYvX45Tp04BKB8pJDk5GW3btnVo5oiInE0QzMZaRRoqx/hARJ7EWoxw5/hg9+3Zzz//HB06dEBWVhbi4uIQFxeHw4cPo2PHjvj8889rIo9ERE5jtHEhxgci8jyeHB/sfhIxdepUzJgxo8qoIampqZg6dSqGDRvmsMwRETmb0WipAYGUhhgfiMjzWIsR7hwf7H4SkZubi9GjR1fZPnLkSOTm5jokU0REdQWfRNiO8YGIPI0nxwe7KxF9+vQxOe74/v370bNnT4dkioiorqho72ptIcYHIvI8nhwf7G7O9OCDD2LatGnIysrCPffcAwA4cOAAPv30U8yePRtbtmxRpCUicmW23Ely5ztN9mB8ICJPYy1GuHN8UAmWpk01Qa227eGFSqWCwWCtJXHdp9PpEBQUhPKh2CwMLUo2sTg8K6AY4lWJQ7xSdQgADCgsLERgYKBdR1Z895Mip0Oj9rOYVm+8hfXaBdW6jjthfPAsyiFOTb9/lXwYU0X5zCFeOcRrXVDzMcKd44Pdv6yMRqNNi6MDRH5+PkaMGIHAwEAEBwdj3LhxKCoqsph+8uTJaNOmDerVq4dmzZrhX//6FwoLCx2aLyJyb4KNCzkvPgCMEUTkHJ4cHxxxe7ZWjBgxAidPnkR6ejq+/vpr7Nu3DxMmTDCb/s8//8Sff/6JxYsX48SJE1i3bh22bduGcePG1WKuicjVVUwkZG0h52KMICJn8OT4YHdzJmc4deoUYmNj8eOPP6Jr164AgG3btmHQoEG4ePEioqKibDrPp59+ipEjR6K4uBje3rZ1B/H0x9WOxuZM5hLysXLNuP1H1U+G29acaWOeez6udgXOihGeHh/YnInNmVxfzccId44PLvEkIjMzE8HBwWJwAICEhASo1WocPHjQ5vNU/APaWoEgIjIIgEEQrCzOzqVnY4wgImexHiOcncOa4xIlpVarRXh4uGKbt7c3QkJCoNVqbTrHlStXMHfuXIuPtwGgpKQEJSUl4mudTmd/hsksq3c4zD4Yk98lUlLcDaoDX1bPuovj/mwZoq/uP891b7UVIxgflBRlndkvgWByVZHC7BNoB6jGl9P2Mty22KPY5eT3yvjkeNZihDvHB6c+iZg+fTpUKpXF5fTp07d9HZ1Oh8GDByM2NhZpaWkW086fPx9BQUHiEh0dfdvXJyLXJUCA0crCwFwz6lqMYHwgosqsxQh3jg92P4m4//770bt3b6Smpiq2X7t2DcOGDcOuXbtsPtcLL7yAMWPGWEzTsmVLREZGIi8vT7G9rKwM+fn5iIyMtHj89evXMWDAADRo0ACbN2+Gj4+PxfQzZsxASkqK+Fqn0zFQEHkwPomwnSPjA1D3YgTjAxFV5slPIuyuROzZswfHjx/HkSNHsGHDBgQEBAAA9Ho99u7da9e5wsLCEBYWZjVdfHw8CgoKkJWVhS5dugAAdu3aBaPRiO7du5s9TqfTITExEb6+vtiyZQv8/Cx3jgQAX19f+Pr62v4miMitGQQBaitRwODOUcIOjowPQN2LEYwPRFSZtRjhzvGhWs2Zdu7cCa1Wi3vuuQfnz593cJaqateuHQYMGIDx48fj0KFD+P7775GcnIzhw4eLo2788ccfaNu2LQ4dOgSgPDj0798fxcXFWL16NXQ6HbRaLbRarVtMckREtYNDvNqntuMDwBhBRM7jyfGhWpWIxo0bY+/evejYsSPuvvtu7Nmzx8HZqmrDhg1o27Yt+vXrh0GDBuG+++7De++9J+4vLS3FmTNncOPGDQDA4cOHcfDgQRw/fhytW7dG48aNxSUnJ6fG80tE7sFaf4iKhco5Iz4AjBFE5ByOjg9paWlV+n61bdtW3H/r1i1MmjQJjRo1Qv369TFs2DBcunRJcY7s7GwMHjwY/v7+CA8Px0svvYSysjKHvF85u5szqf4aWcDX1xcbN27EvHnzMGDAAEybNs3hmZMLCQnBxo0bze6PiYmBfMqLPn36wAWmwCCiOk6ADX0iaiUndZ+z4gPAGEFEzmEtRlSnlGnfvj127twpvpYPO/3888/jm2++waeffoqgoCAkJyfjkUcewffffw8AMBgMGDx4MCIjI/HDDz8gNzcXo0ePho+PD15//fVq5MY8uysRlQvdmTNnol27dkhKSnJYpoiI6gqDIEBtJQy4c5tXezA+EJGnsRYjqhMfvL29TQ4KUVhYiNWrV2Pjxo24//77AQBr165Fu3btcODAAdxzzz3YsWMHfv75Z+zcuRMRERHo3Lkz5s6di2nTpiEtLQ0ajcbu/Jhjd3Omc+fOVenoNmzYMBw8eBBr1qxxWMaIiOoCNmeyHeMDEXkaW+ODTqdTLPI5Zyr79ddfERUVhZYtW2LEiBHIzs4GAGRlZaG0tBQJCQli2rZt26JZs2bIzMwEUD75ZseOHRERESGmSUxMhE6nw8mTJx363u1+EtG8eXOT29u3b4/27dvfdoaIiOoSo2C9kmDkkwgAjA9E5HmsxYiK+FB5OOjU1FST89J0794d69atQ5s2bZCbm4vZs2ejZ8+eOHHiBLRaLTQaDYKDgxXHREREiBNrarVaRQWiYn/FPkdyiRmriYicRbBhsiB3nkyIiIjMsxYjKvbl5OQgMDBQ3G5uuOiBAweK6506dUL37t3RvHlzfPLJJ6hXr56Dcu0YTp2xmoiorjNAQJmVxcBKBBGRR7IWIyriQ2BgoGKxdc6Z4OBg3Hnnnfjtt98QGRkJvV6PgoICRZpLly6JfSgiIyOrjNZU8dra5Jv2YiWCiMgCQRBsWoiIyPPUdHwoKirC2bNn0bhxY3Tp0gU+Pj7IyMgQ9585cwbZ2dmIj48HUD755vHjx5GXlyemSU9PR2BgIGJjY28rL5WxORMRkQW2dJxmx2oiIs9kLUbYGx9efPFFDBkyBM2bN8eff/6J1NRUeHl54YknnkBQUBDGjRuHlJQUhISEIDAwEJMnT0Z8fDzuueceAED//v0RGxuLUaNGYdGiRdBqtZg5cyYmTZpk89MPW/FJBLk8oY79R+7F0aMzudJEQkS3y6ZSUzDW3FKDZXi1IoST3ys5nqNH77t48SKeeOIJtGnTBo899hgaNWqEAwcOiCPfvfnmm3jggQcwbNgw9OrVC5GRkfjiiy/E4728vPD111/Dy8sL8fHxGDlyJEaPHo05c+Y49H0DfBJBRGSRAQaoYLCaxh6uMpEQERFZZi1G2BsfPv74Y4v7/fz8sGLFCqxYscJsmubNm2Pr1q12Xbc6WIkgIrKgJpozucpEQkREZJmjmzO5EjZnIiKywGjjf4Dtkwm5ykRCRERkma3xwR2xEkFEZIGgEiCojFYWaTKhoKAgcZk/f36V81VMJLRt2zasXLkS586dQ8+ePXH9+vU6N5EQERFZZj1GuO+TCDZnIiKyoLw9q219ImyZTMiVJhIiIiLLrMUIe/tEuBI+iSAissC2sZnKH1dXZzKhujyREBERWWZrfHBHrEQQEVlgVBltWqqrLk8kREREltVkfKjr2JyJiMgCI4xQWbmTZE/HOVeaSIiIiCyzFiPcuWM1KxFERBYYUAZrD23L09imYiKhq1evIiwsDPfdd1+ViYTUajWGDRuGkpISJCYm4t///rd4fMVEQhMnTkR8fDwCAgKQlJRUIxMJERGRZdZihD3xwdWwEkFEZIHRhsnmjHZ0nHOliYSIiMgyazHCnvjgaliJICKyQIBgtWOc4MaTCRERkXnWYoQ7xwdWIoiILDCqjFBZ6Rjnzm1eiYjIPGsxwp3jAysRREQWGFHqkDREROR+rJX/7hwfWIkgIrLAKBhgrWN1eRoiIvI01mKEO8cHViKIiCywZbIgd55MiIiIzLMWI9w5PrjMZHP5+fkYMWIEAgMDERwcjHHjxqGoqMimYwVBwMCBA6FSqfDll1/WbEaJyK0IMNi0kHMxRhCRM3hyfHCZSsSIESNw8uRJpKen4+uvv8a+ffswYcIEm45dtmwZVCpVDeeQiNyRAQYYUGZlcd8g4SoYI4jIGazHCPeNDy7RnOnUqVPYtm0bfvzxR3Tt2hUAsHz5cgwaNAiLFy9GVFSU2WOPHj2KJUuW4KeffkLjxo1rK8tE5CYEwQABln9gCm7c5tUVMEYQkbNYixHuHB9c4klEZmYmgoODxeAAAAkJCVCr1Th48KDZ427cuIEnn3wSK1asQGRkZG1klYjcjNHG/8h5GCOIyFk8OT64xJMIrVaL8PBwxTZvb2+EhIRAq9WaPe7555/Hvffei4ceesjma5WUlKCkpER8rdPp7M8wEbmN8jatVp5EuPHjaldQWzGC8YGIKrMWI9w5Pjj1ScT06dOhUqksLqdPn67Wubds2YJdu3Zh2bJldh03f/58BAUFiUt0dHS1rk9E7sEglNm0kOPVtRjB+EBElXlyfHDqk4gXXngBY8aMsZimZcuWiIyMRF5enmJ7WVkZ8vPzzT6C3rVrF86ePYvg4GDF9mHDhqFnz57Ys2ePyeNmzJiBlJQU8bVOp2OgIPJg7BPhPHUtRjA+EFFlntwnwqmViLCwMISFhVlNFx8fj4KCAmRlZaFLly4AygOA0WhE9+7dTR4zffp0PP3004ptHTt2xJtvvokhQ4aYvZavry98fX3teBdE5M4ECDbMEyHUUm48S12LEYwPRFSZtRjhzvHBJfpEtGvXDgMGDMD48eOxatUqlJaWIjk5GcOHDxdH3fjjjz/Qr18/fPDBB+jWrRsiIyNN3oFq1qwZWrRoUdtvgYhclCAYbXgS4b4d51wBYwQROYu1GOHO8cElRmcCgA0bNqBt27bo168fBg0ahPvuuw/vvfeeuL+0tBRnzpzBjRs3nJhLInI3glAKo5VFEEqdnU2PxxhBRM5gLUa4c3xwiScRABASEoKNGzea3R8TEwNBsPzIyNp+IqLKyu8i8UlEXccYQUTOYC1GuHN8cJlKBBGRMxhhhMrqEK/uGySIiMg8azHCneMDKxFERBbwSQQREZnDJxFERGSSUSiDytroTG4cJIiIyDxrMcKd4wMrEUREFtgSANw5SBARkXnWyn93jg+sRBARWcBKBBERmcNKBBERmWRLpzh37jhHRETmWZ+M1H3jAysRREQWGI1lUKksT6njzneaiIjIPGsxwp3jAysRREQW2RIA3DdIEBGRJdbKf/eND6xEEBFZwD4RRERkDvtEEBGRSewTQURE5rBPBBERmSQIZbA+2ZxQO5khIqI6xVqMcOf4wEoEEZEFts1Y7b5BgoiIzLM+Y7X7xgfLQ44QEXk8o42LfVasWIGYmBj4+fmhe/fuOHTokOOyTEREtcTx8cFVsBJBRGSJYLRtscOmTZuQkpKC1NRUHD58GHFxcUhMTEReXl4NvQkiIqoRDo4ProSVCCIiCwQYbFrssXTpUowfPx5jx45FbGwsVq1aBX9/f6xZs6aG3gUREdUER8cHV8JKBBGRRQIgWFlge5tXvV6PrKwsJCQkiNvUajUSEhKQmZlZA/knIqKa47j44GrYsdoKqUOM+/4RELmv8u/t7XVsEyDY+P3X6XSK176+vvD19VVsu3LlCgwGAyIiIhTbIyIicPr06dvIJ9U2xgciV1e7McLdsBJhxfXr1/9ac982bUTu7vr16wgKCrLrGI1Gg8jISGi1WpvS169fH9HR0YptqampSEtLs+u65DoYH4jcQ03HiMjISGg0mupmr85iJcKKqKgo5OTkoEGDBlCpLA/z6Eg6nQ7R0dHIyclBYGBgrV3XU/Hzrj21+VkLgoDr168jKirK7mP9/Pxw7tw56PV6m69VuYyo/BQCAEJDQ+Hl5YVLly4ptl+6dAmRkZF255Och/HBM/Dzrl3uGCM0Gg38/Pyqk8U6jZUIK9RqNZo2beq06wcGBrLQqkX8vGtPbX3W9t5dkvPz83N4wa/RaNClSxdkZGRg6NChAACj0YiMjAwkJyc79FpUsxgfPAs/79rlqTHClbASQURUy1JSUpCUlISuXbuiW7duWLZsGYqLizF27FhnZ42IiMgmrEQQEdWyxx9/HJcvX8asWbOg1WrRuXNnbNu2rUpnayIiorqKlYg6ytfXF6mpqSbbVJPj8fOuPfysyyUnJ7P5ElULv0O1i5937eLn7TpUwu2Na0VERERERB6Gk80REREREZFdWIkgIiIiIiK7sBJBRERERER2YSXCBbz22mu499574e/vj+DgYGdnx+2sWLECMTEx8PPzQ/fu3XHo0CFnZ8kt7du3D0OGDEFUVBRUKhW+/PJLZ2eJyC0wRtQsxojawRjheliJcAF6vR6PPvooJk6c6OysuJ1NmzYhJSUFqampOHz4MOLi4pCYmIi8vDxnZ83tFBcXIy4uDitWrHB2VojcCmNEzWGMqD2MEa6HozO5kHXr1mHKlCkoKChwdlbcRvfu3XH33XfjnXfeAVA+c3B0dDQmT56M6dOnOzl37kulUmHz5s3ijM1EdPsYIxyPMcI5GCNcA59EkMfS6/XIyspCQkKCuE2tViMhIQGZmZlOzBkRETkbYwSRZaxEkMe6cuUKDAZDlVmCIyIioNVqnZQrIiKqCxgjiCxjJcJJpk+fDpVKZXE5ffq0s7NJREROwBhBRHWdt7Mz4KleeOEFjBkzxmKali1b1k5mPFRoaCi8vLxw6dIlxfZLly4hMjLSSbkiImKMqAsYI4gsYyXCScLCwhAWFubsbHg0jUaDLl26ICMjQ+y8ZTQakZGRgeTkZOdmjog8GmOE8zFGEFnGSoQLyM7ORn5+PrKzs2EwGHD06FEAQOvWrVG/fn3nZs7FpaSkICkpCV27dkW3bt2wbNkyFBcXY+zYsc7OmtspKirCb7/9Jr4+d+4cjh49ipCQEDRr1syJOSNybYwRNYcxovYwRrgggeq8pKQkAUCVZffu3c7OmltYvny50KxZM0Gj0QjdunUTDhw44OwsuaXdu3eb/DtOSkpydtaIXBpjRM1ijKgdjBGuh/NEEBERERGRXTg6ExERERER2YWVCCIiIiIisgsrEUREREREZBdWIoiIiIiIyC6sRBARERERkV1YiSAiIiIiIruwEkFERERERHZhJYKIiIiIiOzCSgS5hTFjxmDo0KEW0+zZswcqlQoFBQU1mpc+ffpApVJBpVLh6NGjNXotAIiJiRGvV9PvjYjIFTFGMEaQ43HGanILhYWFEAQBwcHBAMoL6c6dO2PZsmViGr1ej/z8fEREREClUtVYXvr06YM777wTc+bMQWhoKLy9vWvsWgBw+fJlfPfddxg2bBiuXbsmfgZERFSOMYIxghyvZv9yiWpJUFCQ1TQajQaRkZG1kBvA39+/1q4VFhaGkJCQWrkWEZErYoxgjCDHY3MmsssHH3yARo0aoaSkRLF96NChGDVqlMljzp8/D5VKhY8//hj33nsv/Pz80KFDB+zdu1eRbu/evejWrRt8fX3RuHFjTJ8+HWVlZeL+zz77DB07dkS9evXQqFEjJCQkoLi4GIDyUfWYMWOwd+9evPXWW+Ij3PPnz5t8VP3555+jffv28PX1RUxMDJYsWaLIU0xMDF5//XU89dRTaNCgAZo1a4b33nvP7s9t3bp1Ve7+fPnll4q7XWlpaejcuTPWrFmDZs2aoX79+nj22WdhMBiwaNEiREZGIjw8HK+99prd1yciqg2MEYwR5DlYiSC7PProozAYDNiyZYu4LS8vD9988w2eeuopi8e+9NJLeOGFF3DkyBHEx8djyJAhuHr1KgDgjz/+wKBBg3D33Xfjf//7H1auXInVq1dj3rx5AIDc3Fw88cQTeOqpp3Dq1Cns2bMHjzzyCEy1xnvrrbcQHx+P8ePHIzc3F7m5uYiOjq6SLisrC4899hiGDx+O48ePIy0tDa+++irWrVunSLdkyRJ07doVR44cwbPPPouJEyfizJkz9n50Njl79iy+/fZbbNu2DR999BFWr16NwYMH4+LFi9i7dy8WLlyImTNn4uDBgzVyfSKi28EYwRhBHkQgstPEiROFgQMHiq+XLFkitGzZUjAajSbTnzt3TgAgLFiwQNxWWloqNG3aVFi4cKEgCILw8ssvC23atFGcY8WKFUL9+vUFg8EgZGVlCQCE8+fPm7xGUlKS8NBDD4mve/fuLTz33HOKNLt37xYACNeuXRMEQRCefPJJ4e9//7sizUsvvSTExsaKr5s3by6MHDlSfG00GoXw8HBh5cqVJvNh7tpr164VgoKCFNs2b94syL+Cqampgr+/v6DT6cRtiYmJQkxMjGAwGMRtbdq0EebPn2/xvREROQtjBGMEeQY+iSC7jR8/Hjt27MAff/wBoPwx7JgxY6x2RIuPjxfXvb290bVrV5w6dQoAcOrUKcTHxyvO0aNHDxQVFeHixYuIi4tDv3790LFjRzz66KN4//33ce3atdt6H6dOnUKPHj0U23r06IFff/0VBoNB3NapUydxXaVSITIyEnl5ebd1bXNiYmLQoEED8XVERARiY2OhVqsV22rq+kREt4sxgjGCPAMrEWS3v/3tb4iLi8MHH3yArKwsnDx5EmPGjKnRa3p5eSE9PR3ffvstYmNjsXz5crRp0wbnzp2r0esCgI+Pj+K1SqWC0Wi06xxqtbrKY/XS0lKbruWI6xMR1RbGCMYI8gysRFC1PP3001i3bh3Wrl2LhIQEk+1JKztw4IC4XlZWhqysLLRr1w4A0K5dO2RmZioK0e+//x4NGjRA06ZNAZQXjD169MDs2bNx5MgRaDQabN682eS1NBqN4k6RKe3atcP333+v2Pb999/jzjvvhJeXl9X3Y4+wsDBcv35d7OQHoFbGBycicgbGCPswRpArYiWCquXJJ5/ExYsX8f7771vtLFdhxYoV2Lx5M06fPo1Jkybh2rVr4rHPPvsscnJyMHnyZJw+fRr/93//h9TUVKSkpECtVuPgwYN4/fXX8dNPPyE7OxtffPEFLl++LAaYymJiYnDw4EGcP38eV65cMXlX5oUXXkBGRgbmzp2LX375BevXr8c777yDF198sfofjBndu3eHv78/Xn75ZZw9exYbN26s0jmPiMhdMEbYhzGCXBErEVQtQUFBGDZsGOrXr291FtAKCxYswIIFCxAXF4f9+/djy5YtCA0NBQA0adIEW7duxaFDhxAXF4dnnnkG48aNw8yZMwEAgYGB2LdvHwYNGoQ777wTM2fOxJIlSzBw4ECT13rxxRfh5eWF2NhYhIWFITs7u0qau+66C5988gk+/vhjdOjQAbNmzcKcOXNq5LF7SEgI/vvf/2Lr1q3o2LEjPvroI6SlpTn8OkREdQFjhH0YI8gVccZqqrZ+/fqhffv2ePvtty2mO3/+PFq0aIEjR46gc+fOtZM5JzI1E2pN27NnD/r27cvZSImozmCMMI0xgtwFn0SQ3a5du4bNmzdjz549mDRpkrOzUyf9+9//Rv369XH8+PEav1b79u3N3m0jIqptjBHWMUaQO/B2dgbI9fztb3/DtWvXsHDhQrRp08bZ2alzNmzYgJs3bwIAmjVrVuPX27p1qziKR2BgYI1fj4jIEsYIyxgjyF2wORMREREREdmFzZmIiIiIiMgurEQQEREREZFdWIkgIiIiIiK7sBJBRERERER2YSWCiIiIiIjswkoEERERERHZhZUIIiIiIiKyCysRRERERERkF1YiiIiIiIjILv8PmWroB7OEUT8AAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mode_solver = mode_solver.copy(update={\"plane\": td.Box(center=(L_blt + L_s, 0, t_si/2), size=(0, 3*w_3, 5*t_si))})\n",
"mode_data = mode_solver.solve()\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8,3), tight_layout=True)\n",
"mode_data.intensity.sel(mode_index=0).plot(x='y', y='z', cmap='magma', ax=ax1)\n",
"mode_data.intensity.sel(mode_index=1).plot(x='y', y='z', cmap='magma', ax=ax2)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "891c6fc0",
"metadata": {},
"source": [
"Lastly, mode analysis at the end of the adiabatic coupler section shows the first mode as the TE0 at the top waveguide and the second mode as the TE0 at the bottom waveguide, which indicates that with an appropriate choice of coupling length and gap size, the TE1 mode on the top waveguide will be converted into the TE0 mode at the bottom waveguide. The TE0 mode launched in the input waveguide however stays as TE0 throughout the device. \n",
"\n",
"For a more detailed analysis, please refer to the [reference](https://doi.org/10.1364/OE.22.003777). "
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "55b0c905",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mode_solver = mode_solver.copy(update={\"plane\": td.Box(center=(L_blt + L_s + L_ac, 0, t_si/2), size=(0, 5*w_5, 5*t_si))})\n",
"mode_data = mode_solver.solve()\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8,3), tight_layout=True)\n",
"mode_data.intensity.sel(mode_index=0).plot(x='y', y='z', cmap='magma', ax=ax1)\n",
"mode_data.intensity.sel(mode_index=1).plot(x='y', y='z', cmap='magma', ax=ax2)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "8d603044",
"metadata": {},
"source": [
"## Run a Batch Simulation "
]
},
{
"cell_type": "markdown",
"id": "ed81f5e5",
"metadata": {},
"source": [
"We also want to investigate the TM mode as input. To do so, we only need to define a new [ModeSource](../_autosummary/tidy3d.ModeSource.html) and set `mode_index=1`. Then a simulation is created by copying the previous simulation with the sources updated. To run both the TE and TM input simulations simultaneously, we made a simulation batch. "
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "56499f75",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
[11:33:49] Created task 'TE input' with task_id 'fdve-af71c363-34e0-4e40-8f4d-f4e58d54eddcv1'. webapi.py:140\n",
"