{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# One-Component Reflectance Model\n", "\n", "This tutorial introduces the use of the Hapke model to compute the reflectance spectrum of a planetary surface composed of a single material — water ice. This serves as a foundational example for building more complex models later.\n", "\n", "We will:\n", "- Load optical constants for H₂O ice at 120 K\n", "- Set up a regolith with physical properties like grain size and porosity\n", "- Simulate its reflectance under a given geometry\n", "\n", "By the end, you'll have a working understanding of how a `regolith()` object is constructed and how reflectance spectra are generated for simple surface compositions.\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# --- Notebook Setup ---\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "mpl.rcParams['figure.dpi'] = 200\n", "import os\n", "\n", "# --- Imports from FROSTIE ---\n", "import frostie.hapke as hapke\n", "import frostie.utils as utils\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "First, let us set up our planetary regolith using the class `regolith`" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "example_one_regolith = hapke.regolith()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The `example_one_regolith` object is currently empty, but we can add more information about what the regolith is made of and how we are observing it." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "First, let us define what our regolith is made of. In this example, we only have one component: water. We will need to load the optical constants of water as they are the key input for reflectance modelling. Optical constants of water measured at 120 K, in the near infrared, are available in the Github repository of `FROSTIE`. We will focus on the 1-2.5 $\\mu$m wavelength region.\n", "\n", "To model water ice reflectance, we will use the `load_default_op_cons` function, which loads optical constants for H₂O ice at 120 K from [Mastrapa et al. (2009)](https://ui.adsabs.harvard.edu/abs/2009ApJ...701.1347M/abstract), included in the `FROSTIE` package. We will focus on the 1–2.5 μm region where H₂O has strong absorption bands." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "wav_water, n_water, k_water = utils.load_water_op_cons()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let’s now visualize the real (n) and imaginary (k) parts of the refractive index to understand how water ice interacts with light across the near-infrared." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(8,4))\n", "ax[0].plot(wav_water,k_water)\n", "ax[0].set_ylabel('k')\n", "ax[0].set_xlabel('wavelength in $\\mu$m')\n", "ax[0].set_yscale('log')\n", "ax[1].plot(wav_water,n_water)\n", "ax[1].set_ylabel('n')\n", "ax[1].set_xlabel('wavelength in $\\mu$m')\n", "plt.tight_layout()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "In the $k$ spectrum, there are two significant bumps near 1.5 and 2.0 $\\mu$m. Since the absorption coefficient $\\alpha$ is directly dependent on $k$ ($\\alpha = 4\\pi k/\\lambda$), we expect to see strong water absorption features in the reflectance spectrum around 1.5 and 2.0 $\\mu$m as well" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We define a dictionary to store the optical constants and physical properties of the H₂O component, including grain size ($D$), phase function type (HG2), and internal scatterer density ($s$). For phase function, `hapke` provides four options, `isotropic`, `Euler`, `HG1` (one parameter Henyey-Greenstein) and `HG2`. We will use `HG2` in this example, since its the most versatile. We will set grain size $D = 100$ microns." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "water = {'name':'h2o', 'n':n_water, 'k':k_water, 'wav':wav_water, 'D':100, 'p_type':'HG2'}\n", "\n", "example_one_regolith.add_components([water])\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Next, let us set-up the observation by providing the observation geometry angles, $i$, $e$ and $g$, in degrees. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "example_one_regolith.set_obs_geometry(i=45,e=45,g=90)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Next, let us define the porosity of the regolith. Porosity is defined as the fraction of volume in a regolith that is empty, which in case of airless bodies is vacuum. Hapke model permits a range of [0.48, 1) for porosity of the regolith. If porosity gets smaller than $\\sim 0.48$, the grains in the regolith get close enough that diffraction effects start to matter, which the Hapke model currently does not incorporate." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "example_one_regolith.set_porosity(p=0.9)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We will assume no backscattering enhancement for now, so let's set the $B$ parameter to 0" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "example_one_regolith.set_backscattering(B=0)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We will assume the density of internal scatterers $s$ to be 0." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "example_one_regolith.set_s(s=0)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We are ready to model the reflectance of our regolith `example_one_regolith`" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "example_one_regolith.calculate_reflectance()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Let us plot this reflectance spectrum" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'wavelength in $\\\\mu$m')" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(example_one_regolith.wav_model, example_one_regolith.model)\n", "plt.ylabel('reflectance')\n", "plt.xlabel('wavelength in $\\mu$m')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Great! The resulting reflectance spectrum shows broad absorptions near 1.5 and 2.0 μm, as expected from the $k$ spectrum. This simple example helps build intuition for how optical constants shape spectral features." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Summary\n", "\n", "In this tutorial, we built a simple Hapke reflectance model for a regolith composed entirely of water ice. We loaded laboratory-measured optical constants, configured physical parameters such as grain size and porosity, and generated a synthetic reflectance spectrum under a specified viewing geometry.\n", "\n", "This example served to:\n", "\n", "- Introduce the basic structure of a `regolith()` object in FROSTIE\n", "- Show how physical properties (like grain size or internal scattering) impact the shape and depth of absorption bands\n", "- Provide intuition for how spectral features originate from the underlying optical constants\n", "\n", "This single-component model provides a useful baseline for testing assumptions, validating implementation details, or comparing with more complex multi-component mixtures, as explored in the next tutorial.\n" ] } ], "metadata": { "kernelspec": { "display_name": "frostie", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 2 }