From 19162c025ad77634a3600468891b1c600a50c397 Mon Sep 17 00:00:00 2001 From: Gleb Lugovtsov Date: Mon, 6 Mar 2023 16:17:53 +0300 Subject: [PATCH] finish data processing --- 4.2.1-hewton-rings/iii-data.csv | 46 + 4.2.1-hewton-rings/images/dark-approx.svg | 2647 +++++++++++++++++++++ 4.2.1-hewton-rings/images/dark-light.svg | 2427 +++++++++++++++++++ 4.2.1-hewton-rings/measurements.ipynb | 338 +++ 4 files changed, 5458 insertions(+) create mode 100644 4.2.1-hewton-rings/iii-data.csv create mode 100644 4.2.1-hewton-rings/images/dark-approx.svg create mode 100644 4.2.1-hewton-rings/images/dark-light.svg create mode 100644 4.2.1-hewton-rings/measurements.ipynb diff --git a/4.2.1-hewton-rings/iii-data.csv b/4.2.1-hewton-rings/iii-data.csv new file mode 100644 index 0000000..e652a0c --- /dev/null +++ b/4.2.1-hewton-rings/iii-data.csv @@ -0,0 +1,46 @@ +distance + +81 +84 +89 +94 +98 +104 +108 +113 +119 +124 +128 +132 +137 +144 +154 +160 +165 +171 +177 +183 +189 +195 +202 +209 +214 +222 +229 +236 +243 +252 +259 +268 +276 +285 +295 +303 +313 +324 +336 +351 +364 +378 +399 +424 \ No newline at end of file diff --git a/4.2.1-hewton-rings/images/dark-approx.svg b/4.2.1-hewton-rings/images/dark-approx.svg new file mode 100644 index 0000000..fb13090 --- /dev/null +++ b/4.2.1-hewton-rings/images/dark-approx.svg @@ -0,0 +1,2647 @@ + + + + + + + + 2023-03-06T16:03:54.878572 + image/svg+xml + + + Matplotlib v3.7.0, https://matplotlib.org/ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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image/svg+xml + + + Matplotlib v3.7.0, https://matplotlib.org/ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/4.2.1-hewton-rings/measurements.ipynb b/4.2.1-hewton-rings/measurements.ipynb new file mode 100644 index 0000000..1cb618e --- /dev/null +++ b/4.2.1-hewton-rings/measurements.ipynb @@ -0,0 +1,338 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 9, + "id": "e16deb44-1094-4981-b3b2-9170816472e9", + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [] + }, + "outputs": [], + "source": [ + "# %load ../processing_tools.py\n", + "import numpy as np\n", + "from scipy.optimize import curve_fit\n", + "import pandas as pd\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import matplotlib\n", + "import scienceplots\n", + "\n", + "plt.style.use(['science', 'russian-font'])\n", + "\n", + "matplotlib.rcParams.update({\n", + " 'figure.figsize': [6, 4],\n", + " 'savefig.facecolor': 'white',\n", + " 'figure.dpi': 150.0,\n", + " 'font.size': 12.0,\n", + "})\n" + ] + }, + { + "cell_type": "markdown", + "id": "18f7eaab-03eb-44de-ac72-ad4c1908b33a", + "metadata": {}, + "source": [ + "### Калибровка шкалы" + ] + }, + { + "cell_type": "code", + "execution_count": 199, + "id": "b7d28cdc-bfae-4af9-8fb3-11509f9ffab5", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1.4353070925719702" + ] + }, + "execution_count": 199, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "l = 700 # +-10\n", + "dels = 96 + 700 - 76 # +-1\n", + "k_mean = l / dels\n", + "k_err = np.sqrt(10**2 * (1/dels)**2 + (-l/(dels**2))**2)\n", + "k = (k_mean, k_err) # цена деления в микронах\n", + "\n", + "k_err / k_mean * 100 # %ошибки" + ] + }, + { + "cell_type": "markdown", + "id": "52600d36-efe5-460f-acb2-6538c76b0361", + "metadata": { + "tags": [] + }, + "source": [ + "### Расстояния от центра до колец" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "06aec23a-bfc1-4a32-a4bf-2abb6158f070", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "center_pos = 482 # +- 1\n", + "dark_dot = (482 - 435) * k[0]\n", + "\n", + "dist = np.genfromtxt('iii-data.csv', skip_header=True) - center_pos\n", + "dist_si = (-dist)[::-1] * k[0]\n", + "dark_distances = dist_si[1::2]\n", + "light_distances = dist_si[::2]\n", + "m = np.arange(0, len(dist) / 2)\n", + "\n", + "# dist_si**2 = (dist * k)**2\n", + "err = lambda dist : np.sqrt((k[0]**2 * 2*dist*1)**2 + (dist**2 * 2*k[0]*k[1])**2)\n", + "plt.errorbar(m+1, dark_distances**2, yerr=err(dark_distances), label='Тёмные кольца')\n", + "plt.errorbar(m, light_distances**2, yerr=err(light_distances), label='Светлые кольца')\n", + "plt.scatter(0, dark_dot**2, marker='o', label='Граница тёмного пятна')\n", + "\n", + "plt.ylabel('Квадрат расстояния до центра, $\\\\text{мкм}^2$')\n", + "plt.xlabel('Порядковый номер m')\n", + "plt.legend()\n", + "\n", + "plt.savefig(r'images/dark-light.svg')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "2adad890-f5df-4a1f-ac51-10126ec6f233", + "metadata": {}, + "source": [ + "**Тёмный проходит через (0,0)**" + ] + }, + { + "cell_type": "markdown", + "id": "718516ca-f89a-490e-aa08-92635336ae3e", + "metadata": { + "tags": [] + }, + "source": [ + "### Рассчёт кривизны" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0ca07e96-9b37-4615-b120-f95e610f525a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def line1(x, k):\n", + " return k*x\n", + "\n", + "([lR1], [[lR1_err]]) = curve_fit(line1, m+1, dark_distances**2)\n", + "\n", + "plt.fill_between(m+1, line1(m+1, lR1+lR1_err), line1(m+1, lR1-lR1_err), alpha=.15, edgecolor='none', label='Случайная ошибка')\n", + "plt.plot(m+1, line1(m+1, lR1), alpha=.65, label=r'Аппроксимация $r=\\sqrt{m\\lambda R}$', color='C0')\n", + "plt.errorbar(m+1, dark_distances**2, yerr=err(dark_distances), label='Эксперимент', marker='.', linestyle='none', color='C0')\n", + "\n", + "plt.ylabel('Квадрат расстояния до центра, $\\\\text{мкм}^2$')\n", + "plt.xlabel('Порядковый номер m')\n", + "plt.legend()\n", + "\n", + "plt.savefig(r'images/dark-approx.svg')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "4b5626fb-4cc1-4f4b-add9-ac390d645812", + "metadata": {}, + "source": [ + "$R = k / \\lambda\\\\\n", + "\\delta R = \\sqrt{\\left(\\dfrac{1}{\\lambda}\\right)^2 \\delta k^2 + \\left(\\dfrac{k}{\\lambda^2}\\right)^2 \\delta \\lambda^2}$ " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "82838ffe-5fdb-4b52-a79a-b38eaa2c5973", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "R = 12.7 +- 0.9 мм\n" + ] + } + ], + "source": [ + "R = lR1 / lamb\n", + "R_err = np.sqrt((1/lamb)**2 * lR1_err**2 + (lR1/(lamb**2))**2 * lamb_err**2)\n", + "print(f'R = {R*1e-3:.3} +- {R_err*1e-3:.1} мм')" + ] + }, + { + "cell_type": "markdown", + "id": "19a36a5f-d7ad-4720-9d5c-cbaecaf59636", + "metadata": { + "tags": [] + }, + "source": [ + "### Разность длин волн, полученная при наблюдении биений" + ] + }, + { + "cell_type": "code", + "execution_count": 230, + "id": "1e23db39-56a0-4a1d-b2bf-8d77f6d7e8d8", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "38.714285714285715" + ] + }, + "execution_count": 230, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "delta = 1/14 * lamb * 1e3 # нм\n", + "delta" + ] + }, + { + "cell_type": "markdown", + "id": "5b220cdb-e764-443e-9f18-834132439e24", + "metadata": { + "jp-MarkdownHeadingCollapsed": true, + "tags": [] + }, + "source": [ + "### Лабораторный журнал" + ] + }, + { + "cell_type": "raw", + "id": "87504042-278d-43b9-82d3-e10518bd63f1", + "metadata": { + "tags": [] + }, + "source": [ + "81 (темн)\n", + "84 (светл)\n", + "89\n", + "94\n", + "98\n", + "\n", + "104\n", + "108\n", + "113\n", + "119\n", + "124\n", + "128\n", + "132\n", + "137\n", + "144\n", + "154\n", + "160\n", + "165\n", + "171\n", + "177\n", + "183\n", + "189\n", + "195\n", + "\n", + "202\n", + "209\n", + "214\n", + "222\n", + "229\n", + "236\n", + "243\n", + "252\n", + "259\n", + "268\n", + "276\n", + "285\n", + "295\n", + "\n", + "303\n", + "313\n", + "324\n", + "336\n", + "351\n", + "364\n", + "378\n", + "399 (темн)\n", + "\n", + "424 (светл) -- последнее кольцо\n", + "далее тёмное пятно радиусом 435\n", + "центр -- 482" + ] + }, + { + "cell_type": "raw", + "id": "a9da40b4-e2b7-4943-9f76-098686d1824c", + "metadata": {}, + "source": [ + "14 полос между системами" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.10.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}