{ "cells": [ { "cell_type": "markdown", "id": "f3a9bedb", "metadata": {}, "source": [ "# Spectral Binning\n", "\n", "TauREx forward models produce spectra on a very fine native wavenumber grid — typically tens of thousands of points. Observed spectra, by contrast, rarely have more than a few hundred bins. Before comparing model to data (or just for clearer plots), the model spectrum needs to be resampled down to a coarser grid. That is the focus of this notebook, and the same technique appears directly in [Fitting parameters and retrievals](https://escience-taurex.github.io/taurex3/examples/10_retrievals.html).\n", "\n", "Three binners are available:\n", "- **`SimpleBinner`** — fast nearest-neighbour binning onto any wavenumber array.\n", "- **`FluxBinner`** — flux-conserving binning, automatically selected when binning to an observed spectrum.\n", "- **`NativeBinner`** — a pass-through that preserves the native resolution.\n", "\n", "More information about binning options is [here](../user/taurex/binning.rst), observed spectra are [here](../user/taurex/observation.rst), and instrument models are [here](../user/taurex/instrument.rst)." ] }, { "cell_type": "markdown", "id": "e3243d6e", "metadata": {}, "source": [ "## Data Note\n", "\n", "This notebook uses the opacity and CIA files set up in [Setup and opacity data](https://escience-taurex.github.io/taurex3/examples/01_setup_and_data.html). TauREx provides the software to work with these datasets; the files themselves are third-party products from [ExoMol](https://www.exomol.com) and [HITRAN](https://hitran.org/)." ] }, { "cell_type": "code", "execution_count": 1, "id": "5698bbfa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model ready with contributions: ['Absorption', 'CIA', 'Rayleigh']\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from pathlib import Path\n", "from _shared import build_transmission_model\n", "from taurex.cia.hitrancia import EndOfHitranCIAError, HitranCIA\n", "\n", "if not getattr(HitranCIA, \"_notebook_header_patch\", False):\n", " _original_init = HitranCIA.__init__\n", "\n", " def _patched_init(self, filename):\n", " _original_init(self, filename)\n", " self._pair_name = Path(filename).stem.split(\"_\")[0]\n", "\n", " def _patched_read_header(self, f):\n", " line = f.readline()\n", " if line is None or line == \"\":\n", " raise EndOfHitranCIAError\n", "\n", " split = line.split()\n", " for index in range(len(split) - 4):\n", " try:\n", " start_wn = float(split[index])\n", " end_wn = float(split[index + 1])\n", " total_points_float = float(split[index + 2])\n", " temperature = float(split[index + 3])\n", " max_cia = float(split[index + 4])\n", " except ValueError:\n", " continue\n", "\n", " if total_points_float.is_integer():\n", " return start_wn, end_wn, int(total_points_float), temperature, max_cia\n", "\n", " raise ValueError(f\"Could not parse HITRAN CIA header: {line.strip()}\")\n", "\n", " HitranCIA.__init__ = _patched_init\n", " HitranCIA.read_header = _patched_read_header\n", " HitranCIA._notebook_header_patch = True\n", "\n", "context = build_transmission_model(include_cia=True, include_rayleigh=True, download=False)\n", "tm = context['tm']\n", "\n", "print('Model ready with contributions:', [c.name for c in tm.contribution_list])" ] }, { "cell_type": "markdown", "id": "980f2fdd", "metadata": {}, "source": [ "## The Native Grid\n", "\n", "The raw output of `model()` is on TauREx's internal wavenumber grid — fine enough to resolve narrow molecular lines but impractical to plot directly or compare to an observation. The cells below resample it to more manageable resolutions." ] }, { "cell_type": "code", "execution_count": 2, "id": "26eea9e4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Native grid: 76744 points\n", "Wavelength range: 0.300 to 50.002 um\n" ] } ], "source": [ "native_wn, native_rprs, _, _ = tm.model()\n", "native_wl = 10000 / native_wn[::-1]\n", "native_rprs = native_rprs[::-1]\n", "\n", "print(f'Native grid: {len(native_wn)} points')\n", "print(f'Wavelength range: {native_wl.min():.3f} to {native_wl.max():.3f} um')" ] }, { "cell_type": "markdown", "id": "cd05d72d", "metadata": {}, "source": [ "## SimpleBinner\n", "\n", "`SimpleBinner` takes any user-supplied wavenumber array and maps the native spectrum onto it using nearest-neighbour assignment. It is the fastest option and works well when bin widths are small relative to the spectral features.\n", "\n", "The `bin_model` call accepts the raw tuple returned by `model()`, so no unpacking is needed beforehand. Equivalent parameter-file options are documented [here](../user/taurex/binning.rst)." ] }, { "cell_type": "code", "execution_count": 3, "id": "f12c61fe", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Binned grid: 300 points\n" ] } ], "source": [ "from taurex.binning import SimpleBinner\n", "\n", "# Create a logarithmic wavelength grid (0.4 - 12 um), convert to wavenumber\n", "bin_wl = np.logspace(np.log10(0.4), np.log10(12.0), 300)\n", "bin_wn = np.sort(10000 / bin_wl)\n", "\n", "binner = SimpleBinner(wngrid=bin_wn)\n", "binned_wn, binned_rprs, _, _ = binner.bin_model(tm.model(wngrid=bin_wn))\n", "binned_wl = 10000 / binned_wn[::-1]\n", "binned_rprs = binned_rprs[::-1]\n", "\n", "print(f'Binned grid: {len(binned_wn)} points')" ] }, { "cell_type": "code", "execution_count": 4, "id": "0d396c60", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7, 4))\n", "plt.plot(native_wl, native_rprs, lw=0.3, alpha=0.5, label=f'Native ({len(native_wl)} pts)')\n", "plt.plot(binned_wl, binned_rprs, lw=2, label=f'SimpleBinner ({len(binned_wl)} pts)')\n", "plt.xscale('log')\n", "plt.xlabel('Wavelength (um)')\n", "plt.ylabel('$(R_p/R_s)^2$')\n", "plt.title('Native vs. binned transmission spectrum')\n", "plt.legend()\n", "plt.grid(alpha=0.2)" ] }, { "cell_type": "markdown", "id": "ef10e95f", "metadata": {}, "source": [ "## FluxBinner\n", "\n", "`FluxBinner` integrates the spectrum over each output bin rather than sampling the nearest point. The result is more accurate than `SimpleBinner` when bin widths are comparable to or larger than the spectral features — which is typical for medium- and low-resolution instruments." ] }, { "cell_type": "code", "execution_count": 5, "id": "deff789a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from taurex.binning import FluxBinner\n", "\n", "flux_binner = FluxBinner(wngrid=bin_wn)\n", "fb_wn, fb_rprs, _, _ = flux_binner.bin_model(tm.model(wngrid=bin_wn))\n", "fb_wl = 10000 / fb_wn[::-1]\n", "fb_rprs = fb_rprs[::-1]\n", "\n", "plt.figure(figsize=(7, 4))\n", "plt.plot(binned_wl, binned_rprs, lw=2, label='SimpleBinner')\n", "plt.plot(fb_wl, fb_rprs, lw=2, ls='--', label='FluxBinner')\n", "plt.xscale('log')\n", "plt.xlabel('Wavelength (um)')\n", "plt.ylabel('$(R_p/R_s)^2$')\n", "plt.title('SimpleBinner vs. FluxBinner')\n", "plt.legend()\n", "plt.grid(alpha=0.2)" ] }, { "cell_type": "markdown", "id": "59f6bce2", "metadata": {}, "source": [ "## Binning to Real Data\n", "\n", "When the model must be compared to an actual observation, `ObservedSpectrum.create_binner()` returns a `FluxBinner` pre-aligned to the observation's wavelength grid. This guarantees the model and data are evaluated at exactly the same bin centres — no manual grid matching needed.\n", "\n", "More information about observations is [here](../user/taurex/observation.rst), binning options are [here](../user/taurex/binning.rst), and instrument models are [here](../user/taurex/instrument.rst). [Fitting parameters and retrievals](https://escience-taurex.github.io/taurex3/examples/10_retrievals.html) uses this pattern in a full retrieval.\n", "\n", "```python\n", "from taurex.data.spectrum.observed import ObservedSpectrum\n", "\n", "obs = ObservedSpectrum('observation.dat')\n", "obs_binner = obs.create_binner()\n", "binned_wn, binned_rprs, _, _ = obs_binner.bin_model(tm.model(obs.wavenumberGrid))\n", "```\n", "\n", "The observation file is plain text with 3–4 columns: wavelength (μm), spectral data, uncertainty, and optionally bin width." ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }