{ "cells": [ { "cell_type": "markdown", "id": "de6db67c", "metadata": {}, "source": [ "# 2. Atmosphere scenarios\n", "\n", "Every showcase target offers five scenarios. They are presets of the parametric\n", "model (`lazuli_exo.presets`), evaluated at the planet's registry values, so a\n", "scenario is a handful of atmosphere parameters rather than a separate table.\n", "\n", "| Scenario | Parameters | What it represents |\n", "|---|---|---|\n", "| `clear` | solar metallicity, no deck, no haze | Full-amplitude molecular features, the optimistic case |\n", "| `cloudy` | gray deck at 1 mbar | An opaque deck truncating the features from below |\n", "| `hazy` | haze 100x H2 Rayleigh at 0.35 µm, slope −6 | A scattering haze steepening the blue continuum |\n", "| `high_metallicity` | 100x solar | Higher mean molecular weight, so a smaller scale height |\n", "| `flat` | gray deck at 10 nbar | A featureless (Rp/Rs)2 line |\n", "\n", "All five use C/O = 0.55, the equilibrium-chemistry mean molecular weight and a\n", "single isothermal T = Teq layer." ] }, { "cell_type": "code", "execution_count": 1, "id": "9e8a18c9", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:29:46.756866Z", "iopub.status.busy": "2026-10-12T13:29:46.756738Z", "iopub.status.idle": "2026-10-12T13:29:47.433430Z", "shell.execute_reply": "2026-10-12T13:29:47.433135Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lazuli_exo (dev)\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "try:\n", " plt.style.use(\"gks\")\n", "except OSError:\n", " pass\n", "\n", "import lazuli_exo\n", "\n", "print(\"lazuli_exo\", lazuli_exo.__version__ if hasattr(lazuli_exo, \"__version__\") else \"(dev)\")" ] }, { "cell_type": "markdown", "id": "ecc6d492", "metadata": {}, "source": [ "## The recorded settings\n", "\n", "The presets are code, and the parameters end up in `obs.meta[\"params\"]`, so you\n", "can read back exactly what was run rather than trusting the table above." ] }, { "cell_type": "code", "execution_count": 2, "id": "e673338e", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:29:47.435225Z", "iopub.status.busy": "2026-10-12T13:29:47.435066Z", "iopub.status.idle": "2026-10-12T13:29:49.499104Z", "shell.execute_reply": "2026-10-12T13:29:49.498811Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "scenario log_met c_to_o mu log_P_cloud_bar log_a_haze haze_slope\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "clear 0.0 0.55 None None None -4.0\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "cloudy 0.0 0.55 None -3.0 None -4.0\n", "flat 0.0 0.55 None -8.0 None -4.0\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "hazy 0.0 0.55 None None 2.0 -6.0\n", "high_metallicity 2.0 0.55 None None None -4.0\n" ] } ], "source": [ "from lazuli_exo import presets\n", "\n", "PLANET = \"WASP-39 b\"\n", "keys = (\"log_met\", \"c_to_o\", \"mu\", \"log_P_cloud_bar\", \"log_a_haze\", \"haze_slope\")\n", "\n", "print(f\"{'scenario':18s}\" + \"\".join(f\"{k:>16s}\" for k in keys))\n", "for s in lazuli_exo.list_scenarios(PLANET):\n", " p = lazuli_exo.observe(PLANET, scenario=s).meta[\"params\"]\n", " assert {k: p[k] for k in keys} == {**presets.SCENARIO_PARAMS[s], \"mu\": None}\n", " print(f\"{s:18s}\" + \"\".join(f\"{str(p[k]):>16s}\" for k in keys))" ] }, { "cell_type": "markdown", "id": "e416d1be", "metadata": {}, "source": [ "## The four physical scenarios side by side\n", "\n", "`obs.plot(ax=ax, show_points=False)` draws only the native-resolution model, so\n", "several scenarios overlay on one Axes. `clear` has the deepest molecular bands;\n", "the deck in `cloudy` clips them from below; `hazy` adds a rising blue slope;\n", "`high_metallicity` compresses everything because the mean molecular weight, and\n", "with it the scale height, has changed.\n", "\n", "One convention to keep in mind when reading the overlay: `R_p` is the\n", "band-median transit radius, so every scenario is pinned to the same depth at\n", "mid-band. A haze or a deck therefore raises the blue end and lowers the red end\n", "relative to `clear`, instead of sitting above it everywhere." ] }, { "cell_type": "code", "execution_count": 3, "id": "9290c6e0", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:29:49.500759Z", "iopub.status.busy": "2026-10-12T13:29:49.500616Z", "iopub.status.idle": "2026-10-12T13:29:51.619588Z", "shell.execute_reply": "2026-10-12T13:29:51.619293Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9.5, 4.8))\n", "for s in [\"clear\", \"cloudy\", \"hazy\", \"high_metallicity\"]:\n", " lazuli_exo.observe(PLANET, scenario=s, R=100).plot(ax=ax, show_points=False)\n", "ax.set_title(f\"{PLANET}: atmosphere scenarios\")\n", "ax.legend(frameon=False, ncol=2)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "85625496", "metadata": {}, "source": [ "## The `flat` baseline\n", "\n", "`flat` puts the deck above every line core, which leaves a constant\n", "(Rp/Rs)2 line to within a ppm. It is what the\n", "template S/N is measured against, so `detect()` on it returns almost exactly\n", "zero." ] }, { "cell_type": "code", "execution_count": 4, "id": "ce55fb86", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:29:51.621190Z", "iopub.status.busy": "2026-10-12T13:29:51.621079Z", "iopub.status.idle": "2026-10-12T13:29:51.674195Z", "shell.execute_reply": "2026-10-12T13:29:51.673916Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "flat_depth (geometric): 2.1228 %\n", "flat model spread: 0.0647 ppm\n", "\n", "template S/N, clear: 68.65\n", "template S/N, flat: 0.0012\n", "\n", "OK: flat is featureless, clear is not.\n" ] } ], "source": [ "obs_clear = lazuli_exo.observe(PLANET, scenario=\"clear\", n_transits=1)\n", "obs_flat = lazuli_exo.observe(PLANET, scenario=\"flat\", n_transits=1)\n", "\n", "snr_clear = obs_clear.detect()[\"template_snr_diagonal\"]\n", "snr_flat = obs_flat.detect()[\"template_snr_diagonal\"]\n", "\n", "print(f\"flat_depth (geometric): {obs_flat.flat_depth * 100:.4f} %\")\n", "print(f\"flat model spread: {np.ptp(obs_flat.depth) * 1e6:.3g} ppm\")\n", "print()\n", "print(f\"template S/N, clear: {snr_clear:8.2f}\")\n", "print(f\"template S/N, flat: {snr_flat:8.4f}\")\n", "\n", "assert snr_flat < 0.01, \"the flat baseline must carry no template signal\"\n", "assert snr_clear > 50 * max(snr_flat, 1e-6)\n", "print(\"\\nOK: flat is featureless, clear is not.\")" ] }, { "cell_type": "markdown", "id": "e658f13d", "metadata": {}, "source": [ "## Feature amplitude across scenarios and targets\n", "\n", "The same comparison for four targets spanning the sample: a hot Saturn, a warm\n", "Neptune, a sub-Neptune and a temperate terrestrial. This is one transit each, so\n", "the absolute values depend on host brightness as much as on the atmosphere." ] }, { "cell_type": "code", "execution_count": 5, "id": "f1bd81e0", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:29:51.675818Z", "iopub.status.busy": "2026-10-12T13:29:51.675701Z", "iopub.status.idle": "2026-10-12T13:30:00.008352Z", "shell.execute_reply": "2026-10-12T13:30:00.008039Z" } }, "outputs": [ { "data": { "image/png": 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33/7Psffee7uAXTAFg7S8PncgL9ir4+W4445zwS7RX+9CVftyoOuuu87NVzA40O233+7mH3XUUcXmK2jlbT8FLBSI0UWbAnV6jbfd9FlDBXZ0vPXt29d91lCBq+uvv969ToGd4GBROIcffrh7TU5OTthlHn/8cbeMLly1vPYD0cWpyu5tt0CrVq1yx5wueIP3hx07dvgOPfRQ9zpdTEcjqFXe76IkutDXNg4V6HvwwQdD1lmR1DElBbW073bu3NldzAcH2/QaBQK8C34vCKAyz5w5s9jyqou98gZ+x+HqS5VXk4JV4epmBfq84FQwBWsVENHzKlMg7ztXIPrMM89020wUHPGCuwqyloUCWHqfq666qth8HftdunTxP/b2Pa8ODfX7oJsRWldwnaBt6W2Db775ZqftpONMz+l7ys7O9t/s8fYfPTd16tRiZVG5W7duHVFQS/uC6gAFjcIFte69914XjA2uHxSI814TeBOhZ8+ebp6CjIG8IGRwHRpJXaAAlLaV6rxgffr0ca/p1q2bf55uXum31Fu3RzfF9NnCBXU9+t3SMjpWAaA0dD8EgBh7//333Qhh6k4Y7Mgjj3R/f/rpp2LdEANHVArs6iDqZqVub3LCCScUy9Ok/6trgni5WDRPozmpa6Bo1LTnnnvOdtttN/dYXbcef/xx/8h96npV1sTEXre74O55bdq08Xd7KKucnBzLz8+3U045ZadRANWVTcJ1YQtHw6qri5q6zQR2C1H3CHV3C+y+F2j58uWu25m6NanbWVmo24g3qMCCBQtcl7po2Lp1q+vape/d+/7ULcpLUq+8PxoNz6OuXOo6Jg888MBO61O3KO2LgaM5lqSgoMB1iwru5hKca0jdoF577TW3zdVFMnhZJTfX9+jt2xrFT907SzouNDplYFcvbxtov1OXI29USf1VFywJLmd599HAEbnUraZt27auS426HmnwB2+7de3aNeT20vfx4Ycfuu47oZZRNz+VSd2Mtc+Xhff9qizheNtGXZd0nGg/EHVJVncjWbFihdufPOr+oy53Q4cO3Wl/0AiCXlc3dUH76KOPrKKiVV/opq3y1+mv9rdg3gh0lVnHrFu3zsaPH+/Wpa68ofZfdX/zBpvYtm2bG0VRXd/UVTGQ6mLtv+q+pf2mNCqvJnVZC0Xv5Q1UEqorn+pDdX8U7RsqZ/D+r31eSfLT09PdY72XustLqC5voaj7rrofqqtjYHc31WHe+4u374X7PKLfLK1L3XiDu7K1aNEi5KAg2kZeHaF94t577/Xvg/369bNevXrt9HlUFu2fHTt2tEhoX9BvbrjPovpMXTu1DwTXD4cffrj7XVJdGfhceY+bSOqC22+/3dVJobpT6zXquhiYW/KWW25xXUi9dXvU/bZbt26lHkteN+pw3T8BIFDxX1kAQJXzTuyUS0d5LgIpwKKcLqKLrbLSyWS4ZLVerpLg9ekEX5o0aeKCXMHPaTQiXSgqB5UCbMqRUZoHH3zQzjnnnGIjROpCZtmyZf6Lq/JsJ11I66Q+VGDF2076f3mS9+siUQE+5Te64YYb/AE75TPRZ1TQK3h9yoUSbtTD0oaBV64XBQqUj0gXt17wqSJ0gRnsiiuusFdeecX9X3luAi+CdBGisut5Xah4F3a6eNVnK2suLdHFvgI1unjUa72LbgVBvUCoFwyV4IscUe4bXUSFOi68YFQgfUfe961tqbxLgfuwLpyCAwneiIB//vnnTkEkfQblvPFov1RAzft/IO2DHuU6CscrSzDtA+G+M/EGHtB3o+2pvD0l0XGufT442F1SeYLzbnnbRkEgbU9vf/C+g3Bl1fGhHDwK/qqsymVUEeX9LsJR8EI5j1Q25fwJFhxUrYw6RkFc7af6vhXEDKTjzFuXV99oGQUfdCMilFA5/0oTbh/U9lEeLgVXAoO0gVQ/KAeUbqgof5j3nXjr9I65shxj4ej70TGk8px55pnu5om3XbUvlPXziJcnLfhGhF6jQKG279q1a8OuM1QuOn2ezz77LOTnKaksZRHu9dOnT3f7RKh6UvumboAFU2BUuauUF82jGw2q20MdN+WtC/R/5SMMzEUZSDfWAvO9KX+ZPofK691ACXUsBQZLgylI5uUKA4DSENQCgBhTqx3RxU+nTp2iss6SRtHznitPQEkCg1heIujS6M6v9zq1bnrkkUdcUMy7A+wlWS6N7ijr5FYtUcIlMK4IBUAuv/xy19JAF1deEntdTCvQFZhMXXQBrzv25R3BUuVXwEgXzWqZMGLECBfkqgy6mFCLB23r4MTYGtVRLQ30nai11t133+3m6+JSwbfAIGRptN10UaXBB3RRdcEFF7i7+t5FiUcXh+K17CjrcaEBC4KDrJHw1hF8IaULL68VjpJpax8NvIgt6z5aVrr4lJKCImrJoKCWAjMqb2AgLVhgwuWytq4LFrh9ve2jYJl3URyurF6Lkw8++MCN7llR0foutM9IcKudqqxjvP1XNytKSmwe6fERjX1QQYpw+4zXmkb03QYGGst7jJVEA3EoIK6Aom4kqEWrboSUlwJk4YIgXuCmPPtDpJ+noiLZD3QjyquzdYNG21R1fyR1WKi6QL8f+s33BhopjW5a6eaVfg90UygSXvlDBSIBIBjdDwEgxrw7nNV9GPDAC4LgVjAl0cmwui9deeWVLgCiAJHunJeHd2Jb2dtI3Xx0YRU4IpVaD+gE3aMTfLVUU/cUXUyUl4J8d955p/+OtUYSCxxBLlr0HakFlASPZKXggb4P0YiX3udTwE3dfspy4RIYuHz33XddizNdBD366KPWuXNnf7cqjzdyXFm7rlblcaGuYur6pc8+ePBgd1FYnsBeeXhBqJI+l3eBru9NQeCSBB6L4UYsq0g5y1rWwGMk1t+FN/JruBZZVVHHlHf/Le/xEY3vVt9ZuH3G+1695SqLvlt13VXdq653+q1QC1aNQFkeCtSLXhfcMk7zvFGBq7tI94MffvjB3WRRF1qNTnjPPff4W1xWdZmiUXd7gfxo31QAkJgIagFAjHl3JL3h2aurwDv6Zb3jrVw/6q6gi8xXX33Vn6cr0m2kk2oNR15ROukv6U61ut14ASF1pQi8+x9J18NgV111lf/1X3zxhT+/TbR52y1UrqWsrCx34arAmoal18WtPpuGdi8v5XBTEEuvV76W1atXu8Cg1wIssMuLcpFVp+NC+5OGpteF9cyZM8sdcC0vrwWbunWVFqhSjpzSAjNanxeELC0AFkk5y1rWaLQwitZ34bUwKU+X7WjXMeXdf8t7fETruw3u9hsqWFrZrccU2FLrMdWL2m4KSqllWFlzc4n2m4kTJ7pgiLrKe/usWkDrJsSTTz5ZLFBXXUWyH6ilpHJi6ntSN9Vof06vTPqtKEteO2/f//HHHyO+YePVZV5+UAAoCUEtAIgxL4fFs88+G3YZBRx0wh9Lga0fQuXVCKY7rOrKp7u8anlRUheq0ihHkpcvqKTtpC5LgYGUkrp4eF2UQtFnDLyrH9glQ8EbXfB5LQMipUCSWjR566wMXuuTUPlZFDC59NJL3f/vu+8+dyGpxMKBSfPLS4E6XYh6SfBvvPFGf2DBS05c0venfDgK8pX1uFAAQu9REeouqe4yF110Ubla9kTKG5Dh66+/LpaIOZCCglKWLl8KNnvbKtzABpHQtvDyUalraTheWRVUqKhofRdevip1rw1scVaVdYz3nSiYX1JLJw3qoJYt3vGhwQ+8ujaUN99806K1D5b03Xrfa7S+29KoJZW2q7o6quuj9uXyHttqfarAlrrWq+WoPqdyO3355Zc2aNAgiwfeflDSfqPfVgV9vW6zatGoutBrfRttgXnXSjo21G1X9b237ysnqLZ/OArc6XcwFO+4DZfzDQACEdQCgEpQnhwcXlJiJRYOdwKoEYe8kYxixQs2KN9JYL6OcJSPysuzE5yTx+vOENz1xQseBd/dVUDMG7FM+ZpCtS7QCbSCaOFGNgukxNcKEpbUXctrmaYuhl5CcF1sajsoIbYugsPRRVVpd6h1Aa28SWUdPbG81O1TF+AKTIRL6q+R4RTc0sW//h9JKy0FIAK7iGi7KS+OEsZrO2jdopEivaT1GqksmJZVCwvvos47LtT9LNSFt5eTrCwB1nB0Iajjrjz7aEV521jv7V2YBvNG/CprbiEv+BWNFkahyqqAZ+Aok4H1nHJH6fgM3HfCHcdV9V14dYDX+rAsIq1jwn1Wb/9VcCZU0nPRCJ1qRaS6xBs5Ti1DdUyF+qxqhRP4HUeynb0glZe/MdygEN4+qLxI3jEZbcqXNnr06J3q5mnTprn/ewMElJVuDigoqkm5pbRtta6SRk2sbrx6UoHOcCPkqqWx13pKx6YXzK6sOkwtv7w65o477nBdHYNpv1RAUa3FtLy3zXXuEphE3qMyaxAQ5VMLxculF5jbDQDCIagFAJVAeWE8pbUUUA4RL0CiC0O1mtHrFSjQyaO6ienuvNeqJribUaicE95FTqg7vd5rwwXelAcj1EmwEoqrnMFd93ShF/y+3sWZ57HHHvM/fuutt9zFXGD3BO8E1htRS3d7vVYsCnboM6q1l2jbKKikdei1mpSMVnlYdIe4LK1blCRdgZJwrd+0Tm+UKd399rri6KJJZSmt66EXUCqNRgdUTquKCvVdKneZLny07cO1ktPFh/Y/0b6mC/byUo4xjX4YKjmz3tfrcqqRM70Ant5TF7P6/tWlRa1TlKNMwYIWLVq4ZS655BIXINN+o1ZzGj1R+5r2TV2wnnTSSe6iLXD0yJIu3kINTqB1e4/VYkCtHkT7hteCQO+hFm/ePhq4jwfu++GOs+DWWGo15+0/aqUTXGbtOwruKFgXauTHULwBC7wE4KGUZdsEbx/lwFNLCW2nW2+9dafXvfbaa+7iVMFIr9Vh4HEcGIAJ1yqtIt9FONrGBx10kPu/RpQN7oYY2CUw8II7kjom3GfV9+cFk++//363jbzE+woQKq+egpYKEoi6WmqfFh1PCnJp4AaVRYFhdVFWgDcw6XxJ9WXw70Tg9tdxqQCEvPHGG/4AViB111O9pwB1oPIeY6VRV2/vuw5O7B4cTAt3TIkG91CLJdU36vau79ibVLeFO1Yj/TwllSXw8wR/tuDXB69DdZ0XyFHdrZyLGn1S+4GOb33/CvYFBkED63yV1Rut0BvwwNvfveMmkrrAC8zq/ODwww93x6SOR+3L6uKp40WDqgSOvuv9Pui5jz76yJ8jUOcAWof2d69VZTAvcKaRFQGgVD4AQNTdeuutOht0U6tWrXyrV68ucfk33njDl5qa6n+Nplq1arm/bdu29S1durTY8o899ph/uddee63Yc3/99Zd/Xaeeeqpvx44d/uc2bNjg69Spk3uuW7duvsLCQv9zTz/9tJuflJTkGzRokO+PP/5w87dt2+a76qqrfI0aNfJ9+umnO5X99ttv95dl6tSp/vlbtmzxtWvXzv9cWlqa2xZHHHGE75lnnvHPb9GihS8rK8u9pqCgwFe/fn03//rrr/d9/vnnvvPOO8/3999/u+c1L3AbJScnu0n/7927t++ff/4p0/ejbeat47TTTvMtX77c/9zatWt9Z511lnvujDPO8G3fvt3/3GGHHebe788//wy7bpXV+9wqf1lkZ2e75VesWOErq59//tl9J3rdxIkT/d9lUVGR76mnnnLPvfjii6WuZ/HixW4dffr08UXimGOO8bVp08Y3Z84c/7zZs2f76tSp47vmmmuKLavyePt18HTBBRfstO5HH33U7Y+By6WkpLi/e++9t38f9QwZMsT/XLArr7zSPaf9a+vWrf75BxxwgH/dDRs2dN+dXv/222/75zdr1sx31FFHueUfeugh//w777wz5DbRMaftqWWaNGniW7VqVbHn161b544DPT9ixAjfpk2b3Pw1a9a4/Xivvfby/fLLL2X8Bv5vfY0bN/btuuuuYZeZNGmSv9yqIwK9/vrr/uc++eSTnfYPbRN9D6p3tH/J119/7b531TE61gP98MMP/vU98MADbn84//zzXV1SkvJ+FyVRGVq3bu1e07lzZ9/zzz/v++qrr9w+deihh/rXt++++7r6zVPeOuaGG25wz+22226+jz/+2Pf444/7HnnkEffcTz/9VKwODKzXa9euvdPxqXpFZQ11fHTo0GGnfaK0+vLJJ5/0v16fO9i9997rvlet+7vvvnPz9P1OmDDB/YY8++yzO71GdaDWd/zxx+/0nPYFPdexY0dfWej41fKnnHKKLz8/381TPXbZZZf56tWr55s3b16x5YcOHer/jVqyZEnY/TvUpO9Qv2vaZoHat2/vnr/kkkt2Kt/+++/vngve37R9dVx7+0RgfSIPPvig/321LUO56aab/Mu89dZbxZ7T771+K0N9jgMPPLDYZ9A21LES+HuqY0S/XXfffXex85AxY8ZUqC7wfqeCJ+3Tgb/9Hu93NLDu9upzfReBv62B1q9f75bt0qVLyOcBIBhBLQCIoiuuuGKnixjvAkYXZwsWLAj7Wl1w6eQ+PT3dXVDsvvvubn2BATGdBCooFXihr5M/Bajkoosu8gc6Ak9m3333Xd9LL73ka9CgQbHndPLrXYB5QS1dnE2ZMsWdUHbt2tX9Pffcc315eXk7XezqIjpwfSqXyucFZ7788ktfz5493QWKLpxuu+02d2GriwBdKOiC7Oyzz3YnsR5dSGkb6qLhzDPP9P3+++/F3veFF15wF1Y6ka9bt6777Lo4CwzQlUZl1zo++ugjd9GhwEyvXr3cBa4uCvr27eubNm1asdfo4kEXRrqICUUXOvos2qbe9tD3eOKJJxYLmoWisqs85QlqeYEtXVT36NHDl5GR4YIC2t66QAv+vkqife6JJ57wRULbzvu8+t50Ub7HHnu4YIYXAAmUm5vrO+GEE1yQU4Gvgw46KOTFs+e9997z9e/f3y2v42jPPfd0F2eBwQUdI7oQ1vNeWU4//XT3/Wo5HUd6L+85rU+BFlm2bJmvX79+7tjYZZddfFdffbUL/oq+T+2juoDXfuhdAAdO+swK0nr0XtqHApfR/n/hhRfu9J0rQKbvTMEhfW+HHHKIC5R5Qa7yULn1XvPnzw8ZePYCPJq0zXW8y3333VeszlJATUHR4H372muvdce26geV8+ijj97pGAmkC2pth+bNm/suvvhiF3grTVm/i+BgZjgrV650wVJ9Ph2LKvvIkSNdUECBl8svv9wFFIKDcuWpYxQEV5lUNtXxqjuDA1U6HrXvqAwtW7Z0AYdFixaFLLPWpyCbyqrlVcd6ZQ4lVH354Ycf7vQ7oUnzgoMYc+fOdcEo/U7st99+bt9QfR8cNFIdpvneOlUXKiC7cOFC954KWnrBPy9oocBnWYJa3m+k6g5tJ+0DgQEt7Uu6uRP4WbRtBgwYUGx9N998syv/wQcf7PZ3fX9eENybhg8fXuz31puv71l1iOpgfXaVPzAgpmCh6lQFREP9jiqAqICQfreD6wjty17gVN+X6urggJt+a0Ptu6ob9Fn13enzBe+ron1Yr1c9o99r/aar7lWQXIE5nRP85z//cb+9Fa0LVH5tX+3vCqTrO/jiiy/CBvcVTNXvk8qm1+h3dvLkySXuFzr+9P6hAmUAEEqS/im9PRcAINEpX8u5557rum+oywBqBnUBVHJ4dU0JzsmC+KFuecqfpu464ZIvA4lKA3+oa7y6bgbnfFQXPXUzVZdy5Xgqywh+iJ3evXu7ror6TisywAyAmoOaAgCAGkw5bTSSIwGt+Na0aVOXU0e5dDTaG1BTfP/993bCCSe4nE6hBjFRbjDlHzvrrLP8I3qielJifw0wo98lAloAyoqgFgAANZSSWyuJtUY+RPw77bTT3IX9kCFDXAJ+oCa46667XALz0kblVbBEg4SgelqyZIldffXVbhRovicA5UFQCwBQbFS3wFGZkFjeffdda9++vRtl8J577nEjbWkkN40Wh8SgLlgaRVWjQoYbeQ1IJF4AV6OqakTO4BEJly1bZrfccosbSVgjjqL6WbFihfv+NMKwuh8CQHmQUwsA4IbuHjZsmOu6lJSU5IYMp5tG4rn88svtgQce8D9u3LixzZs3zzp16hTTciH63njjDZszZ47deeedbF4kNHW37devn2utJampqa67YUpKiq1atcoFubxcc5qP6kU5zy688EIXcGzXrl2siwMgDhHUAoAa7osvvrBTTjnF/vjjD/88XRQo0KGLgIMOOiim5UP0fPvttzZo0CD76aefrGfPnnbffffZfvvtxyYGENeU/F055RTM/eWXX6yoqMjatm3rWqGqhdYRRxwR6yICACoJQS0AAAAAAADEHXJqAQAAAAAAIO4Q1AIAAAAAAEDcIagFAAAAAACAuFMr1gVIRK1bt7aNGzfarrvuGuuiAAAAAAAAVFsa5KNBgwb2559/lvu1tNSqBApoFRYWWrzTyDGrV692fxNFIn6mH3/80ZYvX26JJBG/Jz5T9ZeI3xH1Q3xIxH2Pz1T9UT/EB46l+JCI3xN1RPWXSPtdYWGhi6NEgtEPK0GXLl3c38WLF1s8y8vLs8zMTFuxYoVlZGRYIkjEz6T9TRXZkiVLLFEk4vfEZ6r+EvE7on6ID4m47/GZqj/qh/jAsRQfEvF7oo6o/hJpv+tSgRgKLbUAAAAAAAAQd8ipVUnUckaRU09aWpqbAAAAAAAAarKCggI3ed0PU1JSIloPLbUqSX5+vmsK6E05OTkWbxSEGzNmTEIF4xLxMyWiRPye+EzVXyJ+R4koEb8nPlN8SMTvKdEk4nfEZ4oPifg9JaJE+57i/fPk5OT44yXLli1zMZRIkFOrEvsfz5o1yz+PllqoLInY3x1AdFA/AKB+AMA5BKp7S63+/fu7llqRXNPS/bCSJCcnx32yNgAAAAAAgGgLbPiTmpoa8XoIagFxTiNErFu3LtbFAFANUT8AoH4AwDkEEhk5tQAAAAAAABB3CGoBAAAAAAAg7hDUAgAAAAAAQNwhqAUAAAAAAIC4Q1ALAAAAAAAAcYfRDytJUVGR5eXlhRyuEgAAAAAAoKYqKChwkxQWFlpKSkpE66GlViXJz8+3zMxM/5STk1NZbwUAAAAAABA3FCPx4iXLli1zMZRI0FKrkqSnp1tubq7/Ma20AAAAAAAAzLKzsy0rK8ttiv79+0fcUougViVJTk62jIyMylo9AAAAAABAXApM0ZSamhrxeuh+CAAAAAAAgLhDUAsAAAAAAABxh+6HAAAAAOJW0qiJFg98t4+MdREQJX9PP77ab8tmp8yMdRGAKkFLLQAAAABIEOvXr7dXXnnFhg0bFuuiIM4VFRXZnDlzbOTIkbZ8+fJYFwcIiaAWAAAAACSAH374wW677TYbPHiwTZ06NdbFQZx77rnn7Oyzz7Z77rnH/vnnn1gXBwiJoBYAAAAAJIA99tjDxo8fbz169Ih1UZAAzjrrLBsyZEisiwGUiKAWAAAAACSQunXrxroISBC1apGGG9UbeyiQANZ98G/bYfmWSEhuCQAAAAAoCS21KjGpXl5enn8qKCiorLcCAAAAUIP8+OOPNmLECDv33HPtpJNOsqOPPtpyc3NLfd27777rlj/wwAOtdevWdsEFF9i6det2yqN0zjnn2JgxY+yEE05wXdBWr17tf/6vv/6y++67zw4//HDbvHmznXnmmdagQQN74IEHKuWzonrw+Xx277332m677WZNmjRxeds0KIHnnXfecV0Vx40bZ6effrrbd1asWOF/XtfEtWvXtgEDBrjlNB155JGWlJRk6enptmHDBnv99detadOmbt6//vUvmz9/vv/1jz32mKWkpNiNN95Y5Z8dlUMxEi9eUlhY6GIokaClViXJz8+3zMxM/2P9KIwdO7ay3g4AAABADbBw4UIbOHCgzZo1y+XQUrBBf/v27esSxbdr1y7k66ZPn25PP/20Pf/881avXj17++237dhjj3UBsvfff98to+TyGjVxwYIF1q1bNxe0UhBDycIVtFi7dq1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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "WASP-39 b clear= 68.65 cloudy= 13.55 hazy= 71.74 high_metallicity= 55.19\n", "GJ 3470 b clear= 32.65 cloudy= 3.91 hazy= 25.86 high_metallicity= 23.65\n", "K2-18 b clear= 4.67 cloudy= 0.37 hazy= 3.22 high_metallicity= 3.48\n", "TRAPPIST-1 e clear= 9.62 cloudy= 0.75 hazy= 6.85 high_metallicity= 6.48\n" ] } ], "source": [ "TARGETS = [\"WASP-39 b\", \"GJ 3470 b\", \"K2-18 b\", \"TRAPPIST-1 e\"]\n", "PHYSICAL = [\"clear\", \"cloudy\", \"hazy\", \"high_metallicity\"]\n", "\n", "snr = {t: [lazuli_exo.observe(t, scenario=s, n_transits=1)\n", " .detect()[\"template_snr_diagonal\"] for s in PHYSICAL]\n", " for t in TARGETS}\n", "\n", "fig, ax = plt.subplots(figsize=(9.5, 4.5))\n", "x = np.arange(len(TARGETS))\n", "width = 0.2\n", "for i, s in enumerate(PHYSICAL):\n", " ax.bar(x + (i - 1.5) * width, [snr[t][i] for t in TARGETS],\n", " width, label=s)\n", "\n", "ax.set_xticks(x)\n", "ax.set_xticklabels(TARGETS)\n", "ax.set_yscale(\"log\")\n", "ax.set_ylabel(\"Template S/N (1 transit)\")\n", "ax.set_title(\"Template S/N by scenario (not a detection significance)\")\n", "ax.legend(frameon=False, ncol=2)\n", "plt.show()\n", "\n", "for t in TARGETS:\n", " print(f\"{t:14s} \" + \" \".join(f\"{s}={v:8.2f}\"\n", " for s, v in zip(PHYSICAL, snr[t])))" ] }, { "cell_type": "markdown", "id": "50b7339e", "metadata": {}, "source": [ "Two orderings hold for every target: the deck mutes the features, and higher\n", "metallicity shrinks the scale height, so both score below `clear`.\n", "\n", "`hazy` is the interesting one. On WASP-39 b it scores above `clear`, and on the\n", "cooler targets it does not. That is a good illustration of what the statistic\n", "measures. The template norm rewards any deviation from a flat line, and a haze\n", "contributes a steep Rayleigh-like slope across the blue half of the band. A\n", "smooth continuum slope is a large departure from flat even though it carries no\n", "molecular information. Read `template_snr_diagonal` as \"how much structure is\n", "there\", never as \"how much atmosphere is detectable\"." ] }, { "cell_type": "code", "execution_count": 6, "id": "5f7d7dbe", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:00.009926Z", "iopub.status.busy": "2026-10-12T13:30:00.009790Z", "iopub.status.idle": "2026-10-12T13:30:00.012313Z", "shell.execute_reply": "2026-10-12T13:30:00.012078Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OK: clear > cloudy and clear > high_metallicity for every target.\n", "\n", "planet clear hazy hazy/clear\n", "WASP-39 b 68.65 71.74 1.04\n", "GJ 3470 b 32.65 25.86 0.79\n", "K2-18 b 4.67 3.22 0.69\n", "TRAPPIST-1 e 9.62 6.85 0.71\n" ] } ], "source": [ "for t in TARGETS:\n", " v = dict(zip(PHYSICAL, snr[t]))\n", " assert v[\"clear\"] > v[\"cloudy\"], t\n", " assert v[\"clear\"] > v[\"high_metallicity\"], t\n", "print(\"OK: clear > cloudy and clear > high_metallicity for every target.\\n\")\n", "\n", "print(f\"{'planet':14s}{'clear':>10s}{'hazy':>10s}{'hazy/clear':>13s}\")\n", "for t in TARGETS:\n", " v = dict(zip(PHYSICAL, snr[t]))\n", " print(f\"{t:14s}{v['clear']:10.2f}{v['hazy']:10.2f}\"\n", " f\"{v['hazy'] / v['clear']:13.2f}\")" ] }, { "cell_type": "markdown", "id": "ed20fd25", "metadata": {}, "source": [ "## Which bands carry the signal\n", "\n", "Splitting the same statistic by the fixed wavelength masks shows where in the\n", "band the scenarios differ. The masks overlap and every species is mixed\n", "together, so read these as \"where the spectrum has structure\"." ] }, { "cell_type": "code", "execution_count": 7, "id": "a781a5eb", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:00.013752Z", "iopub.status.busy": "2026-10-12T13:30:00.013638Z", "iopub.status.idle": "2026-10-12T13:30:01.927027Z", "shell.execute_reply": "2026-10-12T13:30:01.926710Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WASP-39 b, 1 transit, band-restricted template norms\n", "\n", "scenario CH4 CO2 H2O K Na\n", "clear 18.80 26.00 46.62 15.20 22.66\n", "cloudy 2.35 7.00 11.22 2.07 5.00\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "hazy 21.84 20.91 31.47 10.47 19.35\n", "high_metallicity 17.08 20.85 39.64 6.83 13.74\n", "flat 0.00 0.00 0.00 0.00 0.00\n" ] } ], "source": [ "from lazuli_exo.detect import BAND_MASKS\n", "\n", "mols = sorted(BAND_MASKS)\n", "\n", "print(f\"{PLANET}, 1 transit, band-restricted template norms\\n\")\n", "print(f\"{'scenario':18s}\" + \"\".join(f\"{m:>10s}\" for m in mols))\n", "for s in PHYSICAL + [\"flat\"]:\n", " bands = lazuli_exo.observe(PLANET, scenario=s,\n", " n_transits=1).detect()[\"band_snr\"]\n", " print(f\"{s:18s}\" + \"\".join(f\"{bands[m]:10.2f}\" for m in mols))" ] }, { "cell_type": "markdown", "id": "4792c520", "metadata": {}, "source": [ "Going from `clear` to `hazy` on WASP-39 b, the H2O, Na, K and CO2 norms drop as\n", "the molecular bands are partly veiled, and yet the total goes up. The extra\n", "structure lives outside every mask, in the blue continuum below 0.575 µm where\n", "the haze slope is steepest and no band mask reaches. The cell below splits the\n", "total into the part inside any mask and the part outside all of them." ] }, { "cell_type": "code", "execution_count": 8, "id": "26168529", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:01.928662Z", "iopub.status.busy": "2026-10-12T13:30:01.928524Z", "iopub.status.idle": "2026-10-12T13:30:03.724771Z", "shell.execute_reply": "2026-10-12T13:30:03.724437Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "scenario total S/N in-mask out-of-mask out fraction\n", "clear 68.65 56.46 39.05 0.32\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "hazy 71.74 43.98 56.68 0.62\n" ] } ], "source": [ "def chi2_split(obs):\n", " \"\"\"Template chi2 inside any band mask vs. outside all of them.\"\"\"\n", " w = 1.0 / obs.depth_err ** 2\n", " dbar = np.sum(w * obs.depth) / np.sum(w)\n", " chi2 = w * (obs.depth - dbar) ** 2\n", "\n", " in_mask = np.zeros(obs.wavelength.shape, dtype=bool)\n", " for spans in BAND_MASKS.values():\n", " for lo, hi in spans:\n", " in_mask |= (obs.wavelength >= lo) & (obs.wavelength <= hi)\n", " return np.sqrt(chi2[in_mask].sum()), np.sqrt(chi2[~in_mask].sum())\n", "\n", "\n", "print(f\"{'scenario':18s}{'total S/N':>11s}{'in-mask':>10s}\"\n", " f\"{'out-of-mask':>14s}{'out fraction':>14s}\")\n", "rows = {}\n", "for s in [\"clear\", \"hazy\"]:\n", " o = lazuli_exo.observe(PLANET, scenario=s, n_transits=1)\n", " inside, outside = chi2_split(o)\n", " total = o.detect()[\"template_snr_diagonal\"]\n", " rows[s] = (outside / total) ** 2\n", " print(f\"{s:18s}{total:11.2f}{inside:10.2f}{outside:14.2f}\"\n", " f\"{rows[s]:14.2f}\")\n", "assert rows[\"hazy\"] > rows[\"clear\"], \"the haze adds out-of-mask structure\"" ] }, { "cell_type": "markdown", "id": "6a44aa27", "metadata": {}, "source": [ "## The cold-planet temperature floor\n", "\n", "The equilibrium-chemistry grid behind the model starts at 300 K. Three targets\n", "sit below it: their chemistry is evaluated at 300 K while the scale height uses\n", "the true Teq. `meta[\"atmosphere\"]` records both temperatures and the\n", "flag, so you never have to guess." ] }, { "cell_type": "code", "execution_count": 9, "id": "45e8c4b4", "metadata": { "execution": { "iopub.execute_input": "2026-10-12T13:30:03.726329Z", "iopub.status.busy": "2026-10-12T13:30:03.726204Z", "iopub.status.idle": "2026-10-12T13:30:04.065581Z", "shell.execute_reply": "2026-10-12T13:30:04.065301Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "planet T_eq (K) T_chem (K) clamped\n", "GJ 1214 b 567 567\n", "GJ 3470 b 594 594\n", "HAT-P-11 b 838 838\n", "HD 189733 b 1209 1209\n", "HD 209458 b 1459 1459\n", "K2-18 b 284 300 <-- clamped\n", "LHS 1140 b 226 300 <-- clamped\n", "TOI-270 d 383 383\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "TRAPPIST-1 e 250 300 <-- clamped\n", "WASP-107 b 736 736\n", "WASP-12 b 2601 2601\n", "WASP-121 b 2409 2409\n", "WASP-39 b 1166 1166\n", "WASP-96 b 1285 1285\n" ] } ], "source": [ "import warnings\n", "\n", "print(f\"{'planet':14s}{'T_eq (K)':>10s}{'T_chem (K)':>12s} clamped\")\n", "with warnings.catch_warnings():\n", " # one bright host warns about residual detector saturation;\n", " # notebook 05 covers what that means\n", " warnings.simplefilter(\"ignore\", UserWarning)\n", " for p in lazuli_exo.list_planets():\n", " m = lazuli_exo.observe(p, scenario=\"clear\", n_transits=1).meta\n", " a = m[\"atmosphere\"]\n", " flag = \" <-- clamped\" if a[\"T_clamped\"] else \"\"\n", " print(f\"{p:14s}{m['params']['T_eq_K']:10.0f}{a['T_chem_K']:12.0f}{flag}\")" ] }, { "cell_type": "markdown", "id": "eb53ca3b", "metadata": {}, "source": [ "## Summary\n", "\n", "- Four physical scenarios (`clear`, `cloudy`, `hazy`, `high_metallicity`) plus a\n", " featureless `flat` baseline, all presets of one parametric model, with the\n", " parameters recorded in `meta[\"params\"]`.\n", "- `clear` maximizes feature amplitude; a deck truncates it, high metallicity\n", " compresses it.\n", "- `flat` carries no template signal by construction; it is the reference the\n", " statistic is measured against.\n", "- A haze can raise the template S/N through continuum slope alone, which is the\n", " clearest reminder that the statistic measures structure, not molecules.\n", "- Sub-300 K targets use 300 K chemistry and are flagged with `T_clamped`.\n", "\n", "Next: [transits and binning](03_transits_and_binning.ipynb), how `n_transits`\n", "and `R` trade against each other." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }