{ "cells": [ { "cell_type": "markdown", "id": "3510f008", "metadata": {}, "source": [ "# 03 Coronagraph and contrast\n", "\n", "Three parameters set the coronagraph's contribution to the noise budget:\n", "\n", "- `raw_dh_contrast`, the raw dark-hole contrast. It sets the residual speckle rate, `speckle = host x contrast x EE` (notebook 01).\n", "- `ppgain`, the post-processing gain. Speckles that survive post-processing form a systematic floor `M = speckle / ppgain` that grows linearly with time, unlike photon noise. `ppgain` is a number you supply, not something the calculator predicts, and it carries no random-noise cost of its own.\n", "- `separation`, the planet's angular distance from the star in arcsec. It sets the off-axis throughput of the focal-plane mask.\n", "\n", "Because `M` grows like t while photon noise grows like sqrt(t), the SNR curve flattens into a plateau at `source / M`. With the default scene the planet and speckle rates are equal, so the plateau sits at SNR = ppgain = 10. \n", "> Requirements: an editable install (`pip install -e .`), as in notebook 01." ] }, { "cell_type": "code", "execution_count": 1, "id": "41125d38", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T04:03:23.987297Z", "iopub.status.busy": "2026-10-13T04:03:23.987167Z", "iopub.status.idle": "2026-10-13T04:03:28.271895Z", "shell.execute_reply": "2026-10-13T04:03:28.271542Z" } }, "outputs": [], "source": [ "import astropy.units as u\n", "from esc_etc import Simulation, use_lazuli_style\n", "use_lazuli_style()\n", "\n", "sim = Simulation.from_default(hoststarmag=-0.353, planetdeltamag=20,\n", " contrast=1e-8, ppgain=10, separation=0.4)" ] }, { "cell_type": "markdown", "id": "53c31126", "metadata": {}, "source": [ "## 1. Raw dark-hole contrast\n", "\n", "`plot_snr_vs_time(sweep=...)` draws one SNR curve per value of any parameter you could pass to `update()`, and restores the original value afterwards. Better contrast lowers the speckle rate and therefore raises the plateau: at 1e-9 the ceiling is 100, at 1e-7 it is 1, and no integration time gets past it." ] }, { "cell_type": "code", "execution_count": 2, "id": "0548076f", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T04:03:28.273819Z", "iopub.status.busy": "2026-10-13T04:03:28.273640Z", "iopub.status.idle": "2026-10-13T04:03:29.026227Z", "shell.execute_reply": "2026-10-13T04:03:29.025911Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "contrast 1e-07: SNR(1 h) = 0.999\n", "contrast 1e-08: SNR(1 h) = 9.823\n", "contrast 1e-09: SNR(1 h) = 55.312\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = sim.plot_snr_vs_time(sweep={'coronagraph__raw_dh_contrast': [1e-7, 1e-8, 1e-9]})\n", "ax.set_title('SNR vs time for three raw contrasts');\n", "\n", "snr_at_1h = {}\n", "for cval in [1e-7, 1e-8, 1e-9]:\n", " sim.update(coronagraph__raw_dh_contrast=cval)\n", " snr_at_1h[cval] = sim.get_snr(3600, 100)['snr']\n", " print(f'contrast {cval:.0e}: SNR(1 h) = {snr_at_1h[cval]:.3f}')\n", "sim.reset()\n", "assert snr_at_1h[1e-7] < snr_at_1h[1e-8] < snr_at_1h[1e-9]\n", "assert snr_at_1h[1e-7] < 1.0 + 1e-6 # pinned at the plateau" ] }, { "cell_type": "markdown", "id": "d39da29f", "metadata": {}, "source": [ "## 2. Post-processing gain\n", "\n", "`ppgain` moves the plateau without changing the photon-limited rise. At ppgain 1 the floor equals the speckle rate itself and the SNR never exceeds 1 for this scene." ] }, { "cell_type": "code", "execution_count": 3, "id": "e1ddd560", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T04:03:29.028000Z", "iopub.status.busy": "2026-10-13T04:03:29.027767Z", "iopub.status.idle": "2026-10-13T04:03:29.700030Z", "shell.execute_reply": "2026-10-13T04:03:29.699728Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ppgain 1: SNR(1 h) = 1.000\n", "ppgain 10: SNR(1 h) = 9.823\n", "ppgain 100: SNR(1 h) = 46.432\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = sim.plot_snr_vs_time(sweep={'coronagraph__ppgain': [1, 10, 100]})\n", "ax.set_title('SNR vs time for three post-processing gains');\n", "\n", "for g in [1, 10, 100]:\n", " sim.update(coronagraph__ppgain=g)\n", " print(f'ppgain {g:3d}: SNR(1 h) = {sim.get_snr(3600, 100)[\"snr\"]:.3f}')\n", "sim.reset()" ] }, { "cell_type": "markdown", "id": "db79caeb", "metadata": {}, "source": [ "## 3. Separation and off-axis throughput\n", "\n", "The focal-plane mask attenuates the planet as well as the star. `off_axis_throughput` is the fraction of planet light transmitted at a given separation; it rises from near zero inside the inner working angle toward a plateau. The throughput multiplies every rate in the aperture, so moving the planet in or out changes the photon-limited part of the curve but not the plateau, which is a ratio of two rates with the same factor." ] }, { "cell_type": "code", "execution_count": 4, "id": "2fc8b5bf", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T04:03:29.701856Z", "iopub.status.busy": "2026-10-13T04:03:29.701725Z", "iopub.status.idle": "2026-10-13T04:03:30.263147Z", "shell.execute_reply": "2026-10-13T04:03:30.262721Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "separation 0.1 arcsec: off-axis throughput 0.166\n", "separation 0.2 arcsec: off-axis throughput 0.425\n", "separation 0.4 arcsec: off-axis throughput 0.580\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for sep in [0.1, 0.2, 0.4]:\n", " print(f'separation {sep} arcsec: off-axis throughput {sim.coronagraph.off_axis_throughput(sep):.3f}')\n", "assert abs(sim.coronagraph.off_axis_throughput(0.4) - 0.58) < 0.01\n", "\n", "fig, ax = sim.coronagraph.plot_offaxis_throughput()\n", "ax.set_title('Focal-plane mask throughput');\n", "\n", "fig, ax = sim.plot_snr_vs_time(sweep={'coronagraph__separation': [0.1, 0.2, 0.4]})\n", "ax.set_title('SNR vs time for three separations');" ] }, { "cell_type": "markdown", "id": "c3e8b546", "metadata": {}, "source": [ "## 4. Reference-star subtraction\n", "\n", "With `subtraction=\"rdi\"` a reference star `ref_brightness_ratio` times brighter than the host is observed for `ref_time_ratio` times the science time and subtracted. Its photon noise adds to the budget and the reference time is charged, so `charged_time` is larger than `science_time`. The defaults are `ref_brightness_ratio=1` and `ref_time_ratio=1`, so one hour of science is charged as two. Roll or ADI self-subtraction is not modelled." ] }, { "cell_type": "code", "execution_count": 5, "id": "53d7a370", "metadata": { "execution": { "iopub.execute_input": "2026-10-13T04:03:30.265140Z", "iopub.status.busy": "2026-10-13T04:03:30.265002Z", "iopub.status.idle": "2026-10-13T04:03:30.358906Z", "shell.execute_reply": "2026-10-13T04:03:30.358551Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SNR with RDI : 9.724\n", "science time : 3600.0 s | charged time: 7200.0 s\n" ] } ], "source": [ "sim.update(coronagraph__subtraction='rdi')\n", "out = sim.get_snr(3600, 100)\n", "print('SNR with RDI :', round(out['snr'], 3))\n", "print('science time :', out['science_time'], '| charged time:', out['charged_time'])\n", "sim.reset()" ] }, { "cell_type": "markdown", "id": "6e90326a", "metadata": {}, "source": [ "Notebook 04 covers the time axis in more detail: frame times, read noise, and saturation." ] } ], "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 }