{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Calibration of the Z-axis in a laser scanning microscope\n", "\n", "In this notebook, we present the procedure to calibrate the Z-axis scanner (e.g., piezo motor or varifocal lens) of a microscope. We used the calibration sample from Argolight. The reference patterns we used are the [3D crossing stairs](https://argolight.notion.site/Argo-SIM-v1-6973c253a418422cadf224a5e55dd2ea#cd7464ab67bf470b947ac0d33e640f84) with axial step Δz = 1 µm." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import brighteyes_ism.dataio.mcs as mcs\n", "import brighteyes_ism.analysis.Tools_lib as tool\n", "import brighteyes_ism.analysis.Graph_lib as gr\n", "\n", "from skimage.filters import gaussian\n", "from skimage.filters import threshold_otsu\n", "from sklearn.cluster import KMeans\n", "\n", "import os" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "## Data loading\n", "In this case, the data are stored as an hdf5 file generated by the [BrightEyes-MCS](https://github.com/VicidominiLab/BrightEyes-MCS) software." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "data-17-10-2023-12-31-54.h5\n" ] } ], "source": [ "path = r'\\\\iitfsvge101.iit.local\\mms\\Data MMS server\\STED-ISM\\SetupDiagnostics\\calibrations\\argolight\\stairs\\new_offset_5V'\n", "\n", "for file in sorted( os.listdir(path) ):\n", " if file.endswith('.h5'):\n", " print(file)\n", " break\n", "\n", "fullpath = os.path.join(path, file)\n", "data, meta = mcs.load(fullpath)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To perform the acquisition, we used a 488 nm CW laser. The power is roughly 50 µW on the focal plane.
\n", "The microscope is a custom ISM setup, equipped with a 60x/1.4 oil objective lens.
\n", "The detector array size is 1.8 Airy Units.
\n", "We print the metadata, to show the acquisition parameters." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "version 0.0.1\n", "comment \n", "rangex 60.0\n", "rangey 60.0\n", "rangez 26.0\n", "nbin 2\n", "dt 10.0\n", "nx 800\n", "ny 800\n", "nz 61\n", "nrep 1\n", "calib_x 17.303\n", "calib_y 17.409\n", "calib_z 5.13\n" ] } ], "source": [ "meta.Print()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ISM data structure is (repetition, z, y, x, time, channel).
\n", "Since we are not interested in having high-resolution, we keep only the spatial dimensions (z, y, x)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "data = np.sum(data, axis = (0,4,5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We crop the edges of the stack, because we are interested only in the stairway structures." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "dset = data[:, 250:-250, 100:-100]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have a look at the z-stack." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figsize = (7, 4.3)\n", "fig = gr.ShowStack(dset, meta.dx, meta.dz/2, clabel = meta.pxdwelltime, projection = 'mip', figsize = figsize)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pre-processing\n", "\n", "We want to measure only the center-of-mass of each step of the stairway.
\n", "Thus, we sacrifice some resolution to denoise the dataset with a Gaussian filter." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "dset = gaussian(dset, sigma = 2)\n", "dset /= dset.max()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We convert the z-stack (Z, Y, X) to a point cloud where each row contains the 3D coordinates and the corresponding intensity value." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "point_cloud_matrix = tool.point_cloud_from_img(dset)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We remove the background with the Otsu method." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "thresh = threshold_otsu(dset)\n", "cloud = point_cloud_matrix[ point_cloud_matrix[:, -1] > thresh ]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We look at the thresholded scatter plot." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'z')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_subplot(projection='3d')\n", "ax.scatter(cloud[:,1], cloud[:,2], cloud[:,0], c = cloud[:,3])\n", "ax.set_xlabel(r'x')\n", "ax.set_ylabel(r'y')\n", "ax.set_zlabel(r'z')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data clustering\n", "\n", "We perform K-Means clustering to identify each step." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "model = KMeans(n_clusters = 22, init = \"k-means++\", max_iter = 300, n_init = 10, random_state = 0)\n", "y_clusters = model.fit_predict(cloud)\n", "\n", "cm = model.cluster_centers_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We classify each stair using the y-coordinate." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'z')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ym = cm[:, 1].mean()\n", "cm_classes = cm[:, 1] < ym\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(projection='3d')\n", "ax.scatter(cm[:, 1], cm[:, 2], cm[:, 0], c=cm_classes)\n", "ax.set_xlabel(r'x')\n", "ax.set_ylabel(r'y')\n", "ax.set_zlabel(r'z')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calibration\n", "\n", "We sort the z-coordinates of each class in ascending order.
\n", "Additionally, we convert the units into Volts." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "z_a = np.sort( cm[cm_classes==0,0] ) * meta.dz / meta.calib_z # Volt\n", "\n", "z_b = np.sort( cm[cm_classes==1,0] ) * meta.dz / meta.calib_z # Volt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We generate an array with spacing Δz = 1 µm." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "x = np.arange(len(z_a)) # micrometers" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We fit each stair to a line. The slope is the desired calibration value." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "z_calib = 4.76 um/V\n" ] }, { "data": { "image/png": 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Ao1qEnUoE2MNbQ2Z2I/BnoK6ZzSl0VyVg8t4e2MwMeBlY4O6P72ab6sDP7u5m1oygmNbvR36R2LZ1HXx4O8x7Hw47Abq8AZlNwk4lsos9HSN4E/gQeBjoW+j2Le6+YR8e+wygOzDXzGZFbusH1AZw9xeAS4AbzSwPyAa6uLvv1zMQiUXuMPe9oAS2b4GW/eDM2yCtTNjJRP7LnoogFdgM/KXoHWZ2yN7KwN0/B/Y4LdvdBwGD9iGnSEwrPES+UeWtPJ/xOtV//hQym0KnQXDYcWFHFNmtPRXBdGDHX+dFX9AdqBuVRCJxZscQ+W25uVyROoE7t71J2up85ja4gwYX3QEpqWFHFNmj3RaBux9VmkFE4tXAsQs5PG85A8q8xGkpC5icfwJ9866nYFEdJqsEJA7s0+cIzKwjsOMUh4nuPip6kUTiSH4eHba8y21l3iOHNO7I/RPv5LcEDIsMlxeJdXstAjMbAJwCvBG56RYza+7u/aKaTCTWrZ4HI3pyZ/pMxuU34W+51/Azh+y8u6aGyEuc2Jc9gguARu5eAGBmrwEzCc4AEkk+edth0mPw+eNQLoOvmv6Dm6dmkk3Bzk00RF7iyb4uMZEB7DhLSB+DlOS17Otgkbi130LDy6HtAJoddAgPZ/521lBNDZGXOLOnD5Q9C7wFPATMMLOJBGcPtWDXzxWIJL6crcGwmCnPw8E1oeu/4djzd97duXGmXvglbu1pj+A7YCBQA/gYWALMAu5w99VRTyYSKxZPDMZGZi2FU66Hc++FcgeHnUqkxOx2rSF3f8rdTwfOJiiFiwiKoYeZHVNK+UTCk50Fw3vCkE6QkgZXj4b2/1AJSMLZ6zECd18KPAI8YmaNgVeAewk+eSySmBaMgg96wda1cMat0LIvpOssIElM+3L6aBrBaqNdgHOBicB9UU0lEpZf1sDoPjB/GBzeALq+DTUbh51KJKr2dLC4NXAFwemjXwFvAz3cfWspZRMpPe4w5x0Y0zc4MNzqb8GeQGp62MlEom5PewR3EqxA2svdN5ZSHpHSl7UMRt0Gi8ZBrWbBInHV9BkASR57WmuoVWkGESl1BQUw7WUYf1+wR9Du0eCsIK0PJEmmVGYWi8ScdYuCucE/fQF1z4ELn4IqR4adSiQUKgJJLvl58OUzMOFhSC8HnZ6DRl3B9jg6QyShqQgkeayaEywPsWo2HHchXPAYVKoediqR0KkIJPHlboNJj8LnT8JBh8JlQ+D4TmGnEokZKgJJbD9NDfYC1n0HJ3WFNn+Hgw7Z+/eJJBEVgSSMwnOD61WGf9b8gHo/vgmVa0G39+Ho88KOKBKTVASSEHbMDc7OzeeslDk8vO0lai5ez+K6V1C3y6NQtlLYEUVilopAEsLAsQtJz93E/Wmvc2naJH4oqMGlufewelUjJqsERPZIRSAJocHmT7m/7KscwmaezevI03kXsZ0ymhsssg9UBBLftvwMo3vzQpkRzCuow9W5tzPf6+y8W3ODRfZORSDxyR1mvQlj+0FuNt8cdxtXzGvKFv/tg2GaGyyyb1QEEn82LoVRt8IPn0Dt06HjM5xQ9RgeOFZzg0UOhIpA4kdBAXz9IozvHywJccFj0PQ6SAkG7WlusMiBURFIfFj7XbBI3LIpwecBOjwBGbXDTiWSEFQEEtvyc2HyU/DpI1CmAvzxn9Dwci0SJ1KCVAQSu1bOCpaHWD0Xju8MFwyEioeFnUok4agIJPbkZgd7AJOfhgpV4fLXg9VCRSQqVAQSW5Z+GewFrF8EjbvB+Q9C+SphpxJJaCoCiQ3btwRnA339YnAQuPswqHdO2KlEkoKKQML3/fjgcwGblsNpf4ZWfwsODItIqVARSHh+3RB8Mnj2W1C1Plz3ERzRLOxUIklHRSClzx3mD4PRfSB7I7S4HVr0hrSyYScTSUoqAildW1bDB73g21FQoxF0/w9UbxB2KpGkpiKQ0uEOM1+HsXdB/nZofT+c9hdI1a+gSNhSovXAZnaEmU0ws/lm9o2Z3VLMNmZmT5vZIjObY2YnRyuPhGjjEvhX5+C00Oonwo1fwBm3qAREYkQ0/0/MA3q5+wwzqwRMN7Nx7j6/0DbtgGMiX6cCz0f+lTi2Y3bw6qyt3FTxE3r6W6SlpkH7x6HJNTsXiROR2BC1InD3VcCqyOUtZrYAyAQKF0EnYIi7OzDFzDLMrEbkeyUO7ZgdnJm3lH+XGczJeYv41Buz7dzHaHNK07DjiUgxSmXf3MzqAI2BqUXuygSWFbq+PHLbLkVgZj2AHgC1a2vFyVj2xJh5XF/wb3qWGcZWynFLzp8ZXnAGmZM206Z52OlEpDhRLwIzqwi8D9zq7psP5DHcfTAwGKBp06ZegvGkJK2YwQvZvTku/SdG5J9O/9wrWU9lAFZqdrBIzIpqEZhZOkEJvOHuQ4vZZAVwRKHrtSK3STzJzYYJD8GXg6iaksH1Ob0YX9Bkl000O1gkdkXzrCEDXgYWuPvju9lsBHBl5Oyh04BNOj4QZ5Z8Ds83hy+ehsbd+eqC0UxO3fXTwZodLBLborlHcAbQHZhrZrMit/UDagO4+wvAaOACYBHwK3BNFPNISdq2GcbfC9NegSp14MoRUPds2gO56QdrdrBIHLHghJ340bRpU582bVrYMZLbd2Nh1G2wZVWwSNw5d0GZg8JOJSJ7YGbT3b3YU/f0iR7Zd1vXw5i+MPddqHYcXDYEaumUUJF4pyKQvXOHee/Dh7cHbwmd3RfO6gVpZcJOJiIlQEUge7Z5ZbBI3MLRUPNk6DQIDj8h7FQiUoJUBFI8d5jxGnx0N+TnBiMjT/szpKSGnUxESpiKQP7bhsUw4mZY8hnUOQsufAoOrRd2KhGJEhWB/KYgH6Y8D588CKnpQQE0vlKLxIkkOBWBBH6eHywTvWI6HNsOOjwOB9cMO5WIlAIVQbLLy4HPH4dJj0G5g+Hil+HEi8Es7GQiUkpUBMls+fRgL2DNfGhwKbR9BCocGnYqESllKoJklPMrTPg7THkOKlaHK96B+m3DTiUiIVERJJsfJ8GIm4LxkU2ugdb9oVzlsFOJSIhUBMli2yYYdw9MfxWqHAVXjYKjzgo7lYjEABVBgtoxN3hlVjaXVppH/9SXKL99HTS/GVreqUXiRGQnFUEC2jE3uHzuRp5MH0Kn3C9YmFObVWe/TctWbcKOJyIxRkWQgAaO+ZbW+ZO4r+xrVCSbf+Rewgv5HTnsq3Qmtwo7nYjEGhVBotm0nPt/fYBzy8xkZsHR3J7bg++9FqC5wSJSPBVBoigogBmvwkf30Dw1h/tzu/NqfhsKCk0j1dxgESmOiiARrP8hWCRu6edw1Nl8Vq8fb43NoiA/f+cmmhssIrujIohn+Xkw5VmY8BCkloWOz0Dj7pxvxsMVVmhusIjsExVBvFo9L1geYuVMqN8e2v8DDq6x8+7OjTP1wi8i+0RFEG/ytgcLxH3+OJSvApe+Csd31iJxInLAVATxZNnXwV7A2m+hYRdo+zAcdEjYqUQkzqkI4kHO1mBYzJTn4eBM+J/34JjWYacSkQShIoh1P0yAkbdA1lI45Xo4995gboCISAlREcSq7Cz46C6Y+TocUg+uHg11zgg7lYgkIBVBLFowCj7oBVvXwpm3wdl3QLo+DCYi0aEiiCW/rIHRfWD+MDi8AXR9G2o2DjuViCQ4FUEscIc578CYvsGB4VZ3wxm3QGp62MlEJAmoCMKWtQxG3QqLxkOtZtBpEFTTUhAiUnpUBGEpKIBpL8P4+4I9gnaPBmcFpaSGnUxEkoyKIAzrvg/mBv/0JdQ9By58CqocGXYqEUlSKoIoKzwy8ojKZXi+7mRO+O45SC8HnZ6DRl21PISIhEpFEEU7RkZm5+ZzvC3hkezBnLBgCStrtKZm12eh0uFhRxQRURFE08CxCynIzaZ32n+4IXUkG6nEDTm3Mnfj2UxWCYhIjFARRFGNTbMYUmYw9VJW8V5+Cx7I7cYmKmIaGSkiMURFEA3bf4GP7+fdsoNZ6YdyZc4dTCo4aefdGhkpIrFERVDSFn0MI2+FTcv48aiuXLaoNesLyuy8WyMjRSTWpOx9E9knv26AYX+G1y+CtLJw7RjqXfUcd1/UjMyM8hiQmVGehy9qoMlhIhJTorZHYGavAB2ANe5+YjH3twSGAz9Gbhrq7vdHK09UzR8OH/SGX9fDWb2gxe3B6aFoZKSIxL5ovjX0KjAIGLKHbT5z9w5RzBBdW1bD6N6wYCRUbwjd3ocaDcNOJSKyX6JWBO4+yczqROvxQ+UOs96EsXdC7rZgWEzzm7RInIjEpbAPFp9uZrOBlUBvd/+muI3MrAfQA6B27dqlGK8YG5cGE8MWT4Dap0PHZ6DqMeFmEhH5HcIsghnAke7+i5ldAAwDin1FdffBwGCApk2beqklLKwgH75+Ccb3D5aEuOAxaHodpOh4u4jEt9CKwN03F7o82syeM7Oq7r4urEy7tXZhsEjcsqlw9HnQ4QnICHnPRESkhIRWBGZWHfjZ3d3MmhGcyro+rDzFys+FyU/Cp49CmQrwx39Cw8u1SJyIJJRonj76FtASqGpmy4F7gXQAd38BuAS40czygGygi7uH87ZPcVbOguE94ee5cHxnuGAgVDws7FQiIiUummcNXbGX+wcRnF4aW3KzYeIA+OIZqFAVLn8djrsw7FQiIlET9llDsWXpF8GxgPWLoHF3OP8BKF8l7FQiIlGlIgDYthk+7h+cFZRRG7oPg3rnhJ1KRKRUqAi+HxcsErd5BZz2Z2j1t+DAsIhIkkiKIig8LrJmRnn6tKlP5/rlYcydMOdtqFofrvsIjmgWdlQRkVKX8EVQeFwkwIqsX/n0P4NpV24IZfM2BwvEtegdrBgqIpKEEr4IBo5duLMEDmMjD6T/H21SpvFtbj3+8L8joHqDkBOKiIQr4YtgZWQsZMuUmTyd/ixlyOWh3Ct4Jf8CFqkEREQSvwhqZpRnRVY2P3oNZhQcw315V7LEa5CpcZEiIkASTCjr06Y+5dNTWerVuTr3DpZ4DY2LFBEpJOH3CHZMB/uvs4Y0NUxEBEiCIgCNixQR2ZOEf2tIRET2TEUgIpLkVAQiIklORSAikuRUBCIiSU5FICKS5CyWpkPuCzNbCyw9wG+vCqwrwTjxQM85Oeg5J4ff85yPdPdqxd0Rd0Xwe5jZNHdvGnaO0qTnnBz0nJNDtJ6z3hoSEUlyKgIRkSSXbEUwOOwAIdBzTg56zskhKs85qY4RiIjIf0u2PQIRESlCRSAikuSSpgjMrK2ZLTSzRWbWN+w80WZmR5jZBDObb2bfmNktYWcqDWaWamYzzWxU2FlKi5llmNl7ZvatmS0ws9PDzhRNZnZb5Hd6npm9ZWblws4UDWb2ipmtMbN5hW47xMzGmdn3kX+rlMTPSooiMLNU4FmgHXA8cIWZHR9uqqjLA3q5+/HAacBfkuA5A9wCLAg7RCl7Chjj7n8ATiKBn7+ZZQI3A03d/UQgFegSbqqoeRVoW+S2vsDH7n4M8HHk+u+WFEUANAMWuftid88B3gY6hZwpqtx9lbvPiFzeQvDikNDTecysFtAeeCnsLKXFzCoDLYCXAdw9x92zQg0VfWlAeTNLAw4CVoacJyrcfRKwocjNnYDXIpdfAzqXxM9KliLIBJYVur6cBH9RLMzM6gCNgakhR4m2J4HbgYKQc5Smo4C1wP9F3hJ7ycwqhB0qWtx9BfAY8BOwCtjk7h+Fm6pUHe7uqyKXVwOHl8SDJksRJC0zqwi8D9zq7pvDzhMtZtYBWOPu08POUsrSgJOB5929MbCVEnq7IBZF3hPvRFCANYEKZtYt3FTh8ODc/xI5/z9ZimAFcESh67UityU0M0snKIE33H1o2Hmi7Aygo5ktIXjrr5WZvR5upFKxHFju7jv29t4jKIZEdR7wo7uvdfdcYCjQPORMpelnM6sBEPl3TUk8aLIUwdfAMWZ2lJmVITi4NCLkTFFlZkbwvvECd3887DzR5u53unstd69D8N/3E3dP+L8U3X01sMzM6kduOheYH2KkaPsJOM3MDor8jp9LAh8cL8YI4KrI5auA4SXxoGkl8SCxzt3zzKwnMJbgLINX3P2bkGNF2xlAd2Cumc2K3NbP3UeHF0mi5CbgjcgfOYuBa0LOEzXuPtXM3gNmEJwZN5MEXWrCzN4CWgJVzWw5cC8wAHjXzK4jWI7/shL5WVpiQkQkuSXLW0MiIrIbKgIRkSSnIhARSXIqAhGRJKciEBFJcioCEZEkpyIQEUlyKgKR/WRm5c3s08jy5r/3scqY2aTISpoioVARiOy/a4Gh7p7/ex8osiz6x8DlvzuVyAFSEYgUYmY3mNmsyNePZjahmM3+h0JrvJjZRDP7Q+TyoTsmSpnZv81skJl9bmZLzexMM/uXmX1nZi8XerxhkccUCYWKQKQQd3/B3RsBpxCs7LnLgn2R9XzquvuSQjcfDXwXudwQmBu53ABY7O5nAv8kWATwdoIpee3NrGxku3mRnycSChWBSPGeIljBdGSR26sCWTuumNmRwAp33zEMpyEwJzJHN4NgWA4E68a/HJkclwfkAzkAkbeYcsysUnSeisieqQhEijCzq4Ejgf7F3J0NFB6WfhIwp9D1JpHrJwAzChXESUQmxEVGaq70XVd8LAtsK4n8IvtLRSBSiJk1AXoD3Qq9iO/k7huB1Mhf/ACNiBSDmR1DMD1rLsHbQrMLfWtDfiuMXcrDzA4F1kUGrYiUOp2yJrKrnsAhwIRg7gnT3P36Itt8BJwJjCd4Ud9mZrMJXtznEwwMyQC+AoiURvlIicCupQBwDvBBNJ6MyL7QPAKR/WRmJwO3uXt3M/seONndt/yOxxsK9HX37/a6sUgU6K0hkf3k7jMI9hgqB1d/VwmUAYapBCRM2iMQEUly2iMQEUlyKgIRkSSnIhARSXIqAhGRJKciEBFJcioCEZEkpyIQEUly/w+3ZstDcxlBagAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "poly = np.polyfit(x, z_a, 1)\n", "\n", "fit = np.poly1d(poly)\n", "\n", "z_calib = 1 / poly[0] # um/Volt\n", "\n", "plt.figure()\n", "plt.plot( z_a, 'o' )\n", "plt.plot( fit(x), '-' )\n", "plt.xlabel(r'z $(\\mu m)$' )\n", "plt.ylabel(r'Volt' )\n", "\n", "print( f'z_calib = {z_calib:.2f} um/V' )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We repeat the same process for the second stair. The two calibration values should match." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "z_calib = 4.74 um/V\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "poly = np.polyfit(x, z_b, 1)\n", "\n", "fit = np.poly1d(poly)\n", "\n", "z_calib = 1 / poly[0] # um/Volt\n", "\n", "plt.figure()\n", "plt.plot( z_b, 'o' )\n", "plt.plot( fit(x), '-' )\n", "plt.xlabel(r'z $(\\mu m)$' )\n", "plt.ylabel(r'Volt' )\n", "\n", "print( f'z_calib = {z_calib:.2f} um/V' )" ] } ], "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": "3.10.2" } }, "nbformat": 4, "nbformat_minor": 4 }