examples/006 Coatings.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import logging\n",
    "logging.getLogger('trimesh').disabled = True\n",
    "logging.getLogger('shapely.geos').disabled = True\n",
    "logging.getLogger('matplotlib').setLevel(logging.CRITICAL)\n",
    "import functools\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "from pvtrace import *"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Surface coatings\n",
    "\n",
    "---\n",
    "**Aside** - coating are a more advanced feature of *pvtrace* and require some knowledge of both the Python programming language and ray-optics related mathematics. The current API is not as easy to use as other areas of *pvtrace* and is subject to change in future releases.\n",
    "\n",
    "---\n",
    "\n",
    "Custom reflection and scattering can be included using a `SurfaceDelegate` when creating a material. You will need to create a new Python class which implements the `SurfaceDelegate` protocol (defined set of methods) to enable custom reflections or scattering at object surfaces.\n",
    "\n",
    "```python\n",
    "from pvtrace import SurfaceDelegate\n",
    "\n",
    "class Coating(SurfaceDelegate):\n",
    "    pass\n",
    "    # implemented method here\n",
    "\n",
    "Material(\n",
    "    refractive_index=1.5,\n",
    "    surface=Surface(delegate=Coating())\n",
    ")\n",
    "```"
   ]
  },
  {
   "attachments": {
    "coatings.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example of surface coating\n",
    "\n",
    "![coatings.png](attachment:coatings.png)\n",
    "\n",
    "To demonstate how to use `SurfaceDelegate` we will make a plastic slab with a perfect mirrors on a small section of the top surface. All other surface are uncoated an obey the Fresnel equations. Behind the scene Frensel reflection and refraction is actually implemented using this delegate approach so we inherit from `FresnelSurfaceDelegate` and will extend it for our purpose."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "class PartialTopSurfaceMirror(FresnelSurfaceDelegate):\n",
    "    \"\"\" A section of the top surface is covered with a perfect mirrrors.\n",
    "    \n",
    "        All other surface obey the Fresnel equations.\n",
    "    \"\"\"\n",
    "\n",
    "    def reflectivity(self, surface, ray, geometry, container, adjacent):\n",
    "        \"\"\" Return the reflectivity of the part of the surface hit by the ray.\n",
    "        \n",
    "            Parameters\n",
    "            ----------\n",
    "            surface: Surface\n",
    "                The surface object belonging to the material.\n",
    "            ray: Ray\n",
    "                The ray hitting the surface in the local coordinate system of the `geometry` object.\n",
    "            geometry: Geometry\n",
    "                The object being hit (e.g. Sphere, Box, Cylinder, Mesh etc.)\n",
    "            container: Node\n",
    "                The node containing the ray.\n",
    "            adjacent: Node\n",
    "                The node that will contain the ray if the ray is transmitted.\n",
    "        \"\"\"\n",
    "        # Get the surface normal to determine which surface has been hit.\n",
    "        normal = geometry.normal(ray.position)\n",
    "        \n",
    "        # Normal are outward facing\n",
    "        TOP_SURFACE = (0, 0, 1)\n",
    "        \n",
    "        # If a ray hits the top surface where x > 0 and y > 0 reflection\n",
    "        # set the reflectivity to 1.\n",
    "        if np.allclose(normal, TOP_SURFACE):\n",
    "            x, y = ray.position[0], ray.position[1]\n",
    "            if x > 0 and y > 0:\n",
    "                return 1.0\n",
    "        \n",
    "        # Otherwise return the Frensel reflection probability.\n",
    "        return super(PartialTopSurfaceMirror, self).reflectivity(surface, ray, geometry, container, adjacent)  # opt-out of handling custom reflection\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Make a scene and add the surface coating."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "You can open the visualizer by visiting the following URL:\n",
      "http://127.0.0.1:7029/static/\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<div style=\"height: 400px; width: 600px; overflow-x: auto; overflow-y: hidden; resize: both\">\n",
       "<iframe src=\"http://127.0.0.1:7029/static/\" style=\"width: 100%; height: 100%; border: none\"></iframe>\n",
       "</div>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "world = Node(\n",
    "    name=\"world (air)\",\n",
    "    geometry=Box(\n",
    "        (15.0, 15.0, 15.0),\n",
    "        material=Material(refractive_index=1.0)\n",
    "    )\n",
    ")\n",
    "\n",
    "sphere = Node(\n",
    "    name=\"box (glass)\",\n",
    "    geometry=Box(\n",
    "        (10.0, 10.0, 1.0),\n",
    "        material=Material(\n",
    "            refractive_index=1.5,\n",
    "            surface=Surface(delegate=PartialTopSurfaceMirror())\n",
    "        ),\n",
    "    ),\n",
    "    parent=world\n",
    ")\n",
    "\n",
    "ray = Ray(\n",
    "    position=(-1.0, 0.0, 0.9),\n",
    "    direction=(1.0, 0.0, 0.0),\n",
    "    wavelength=555.0\n",
    ")\n",
    "\n",
    "light = Node(\n",
    "    name='Light',\n",
    "    light=Light(\n",
    "        position=functools.partial(rectangular_mask, 5, 5)\n",
    "    ),\n",
    "    parent=world\n",
    ")\n",
    "light.location = (0, 0, 2)\n",
    "light.rotate(np.radians(180), (1, 0, 0))\n",
    "\n",
    "scene = Scene(world)\n",
    "np.random.seed(0)\n",
    "vis = MeshcatRenderer(wireframe=True)\n",
    "vis.render(scene)\n",
    "for ray in scene.emit(200):\n",
    "    steps = photon_tracer.follow(scene, ray)\n",
    "    path, decisions = zip(*steps)\n",
    "    vis.add_ray_path(path)\n",
    "vis.vis.jupyter_cell()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "An implicit surface with `FresnelSurfaceDelegate` is created if no surface is supplied. \n",
    "\n",
    "This,\n",
    "\n",
    "```python\n",
    "material=Material(\n",
    "    refractive_index=1.5,\n",
    "    surface=Surface(delegate=FresnelSurfaceDelegate())\n",
    ")\n",
    "```\n",
    "\n",
    "is equivalent to this,\n",
    "\n",
    "```python\n",
    "material=Material(\n",
    "    refractive_index=1.5\n",
    ")\n",
    "```\n",
    "\n",
    "which we can verify from running a the following,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "You can open the visualizer by visiting the following URL:\n",
      "http://127.0.0.1:7031/static/\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<div style=\"height: 400px; width: 600px; overflow-x: auto; overflow-y: hidden; resize: both\">\n",
       "<iframe src=\"http://127.0.0.1:7031/static/\" style=\"width: 100%; height: 100%; border: none\"></iframe>\n",
       "</div>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "world = Node(\n",
    "    name=\"world (air)\",\n",
    "    geometry=Box(\n",
    "        (15.0, 15.0, 15.0),\n",
    "        material=Material(refractive_index=1.0)\n",
    "    )\n",
    ")\n",
    "\n",
    "sphere = Node(\n",
    "    name=\"box (glass)\",\n",
    "    geometry=Box(\n",
    "        (10.0, 10.0, 1.0),\n",
    "        material=Material(\n",
    "            refractive_index=1.5,\n",
    "            surface=Surface(delegate=FresnelSurfaceDelegate())\n",
    "        ),\n",
    "    ),\n",
    "    parent=world\n",
    ")\n",
    "\n",
    "ray = Ray(\n",
    "    position=(-1.0, 0.0, 0.9),\n",
    "    direction=(1.0, 0.0, 0.0),\n",
    "    wavelength=555.0\n",
    ")\n",
    "\n",
    "light = Node(\n",
    "    name='Light',\n",
    "    light=Light(\n",
    "        position=functools.partial(rectangular_mask, 5, 5)\n",
    "    ),\n",
    "    parent=world\n",
    ")\n",
    "light.location = (0, 0, 2)\n",
    "light.rotate(np.radians(180), (1, 0, 0))\n",
    "\n",
    "scene = Scene(world)\n",
    "np.random.seed(0)\n",
    "vis = MeshcatRenderer(wireframe=True)\n",
    "vis.render(scene)\n",
    "for ray in scene.emit(200):\n",
    "    steps = photon_tracer.follow(scene, ray)\n",
    "    path, decisions = zip(*steps)\n",
    "    vis.add_ray_path(path)\n",
    "vis.vis.jupyter_cell()"
   ]
  }
 ],
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