{ "cells": [ { "cell_type": "markdown", "id": "6aeef801", "metadata": {}, "source": [ "# Manipulating fields\n", "\n", "Here are some functions that fieldkit contains to manipulate a field. Lets start by initializing a field." ] }, { "cell_type": "code", "execution_count": 1, "id": "72980770", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import fieldkit as fk\n", "\n", "field = fk.Field(npw=(32,32))\n", "\n", "# create a creepy face\n", "fk.add_gaussian(field,center=(0.25,0.75),sigma=0.1)\n", "fk.add_gaussian(field,center=(0.75,0.75),sigma=0.1)\n", "fk.add_ellipse(field,center=(0.5,0.25), axis_lengths=(0.4,0.05), height=0.01)\n", "\n", "fk.plot(field, dpi=100)" ] }, { "cell_type": "markdown", "id": "9910b3b4", "metadata": {}, "source": [ "## Changing resolution\n", "\n", "Here's how you increase or decrease the resolution of a previously generated field" ] }, { "cell_type": "code", "execution_count": 2, "id": "a0638bcb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Note: not plotting imaginary part of field 0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# increase resolution\n", "field_new = fk.change_resolution(field, npw_new=(64,64))\n", "fk.plot(field_new,dpi=100)" ] }, { "cell_type": "code", "execution_count": 3, "id": "b7cce265", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Note: not plotting imaginary part of field 0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# decrease resolution\n", "field_new = fk.change_resolution(field, npw_new=(16,16))\n", "fk.plot(field_new,dpi=100)" ] }, { "cell_type": "markdown", "id": "5489dd08", "metadata": {}, "source": [ "## Replicating fields" ] }, { "cell_type": "code", "execution_count": 4, "id": "5c4b19a8", "metadata": {}, "outputs": [ { "data": { "image/png": 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hPd9yTKsXz1tSL563pF48b0m9eFk2qxcqyzR6obrzeqG6q6eX91mZm8to/ArwFaCqFwMX17j2msC5ut7nVHUbdTzaRWGWnGMDM6yG0SXYDgLFYaVnGIvMqqe2bpeAuohkO4zcWIs1JZXZCnPlCjPRLpnTM/MOSOaWuUEHPw/RD0LEP/trc8uGqvd5/5s+zrnZyrwzj9nKgmt59Hy4kJ6PP6Tnw4X04lpp9OJ5S+rF85bUC+XNf4+XZbN6WevO3xeqO68Xqrt6eiP3jbHqqSszPyuVSCc1JcmwS6sZ1mYww2oY3UKWlqi1WJvCDGtKZmdmkdIsk3ud44uxPZWqezfvNMOvmFnP/ACEb330R9d2rj6KXXsHq3EA1ThnZ2arzjxK5dKCa3n0dkbhQnpeJ6Tnw4X0/FSgtHrxvCX14nlL6sXzltSLl2WzeqGy9HqhuvN6obrzf0N1V0+v2WfFWHqYYTWMLsEGr4rDDKthdAtZVlTZnldNYYY1JdNTM6hOMzHmth/etXsZ23c6D2pVP52Rk47hNWsZSvjY9K+Rd88dyfadkaf43c6fhY9zenK66j/U04ze3XMuXEhvetLNjwzp7dq9LLpvXz2/+iitXjxvSb143vbRi+UtqRcvy2b1QmXp9UJ15/VCdZdXL/ezMr2w7hoiGeaxWh9rU3Tcz5KInC8iW0VkUkRuFZHnNAj/ShH5pYhMiMgDIvLFaHWIYXQVfuVV2sPIT0eVXo6tH04GLgM+j9tT52XAicDnQuGzcvf2jC2GLmRibFGWaqfm9geGGgdqM3esf24xQn7lVdrDyE2ndQVk3frhWcA2Vf1E9H2riHwGeHtW4amJSSqzPUxEDjZ2PNTL2vUrI+Pq/jm978zVq9bvu9leNLq7fWdf1SDveGgPMG98piYmq5vfVaK/cb3eXv87mE7Pv0aG9KYm3CtlSG/HQ279ZEjPOwVphV48b0m9eN6SevGyTOrFyzKN3hHre7n9gbBeqO68XqjuvF6o7ubzF6g7prlj/XMzPysz05NkwvpYC6NjSi/n1g83AutF5IzItdjBwEuBq+vo9Me3osD/JxhGp2Mrrwqjk1qsmbd+UNUbReSVwNeAAVx+vwn8dR2dC4H3JU/OTk+DTjMx5gYa4g6Dp6ZcC2PXo67FsWJwVdVphh9f2DPu5iE+snOSnTtcHCM7I4ccUZwzU9PV1k4l2kK5Gb1HdroWTUhvZsq1AEN6SWfIcb0Vg859XVq9eN6SeqG8eb143pJ68bJsVi9Ull4vVHdeL1R3Xq8Vdef16j0rszPTZGLhXlaNwxq56cTSS731g4g8GfgE8/uSPx84isg/ZA024TYj88f6OmENo3Noo6NrYyGd1GLNs/XDhcBPVPWfou+/EpFx4AYRebeqPpC8QVWniO3rI/ZKZLSZ394+zrFHD7ZfqAC3gYajYwyrqk6LiN/64euxS6cB36hx23Lc/jlx5qK/mZ6cmakZtDJddeoBVJ1gTO11r2SPRhu9DSzvpVx20c/NufCTE+49b2LPJBOjbgBi7/iEu3/cvWLOzsxU45eSS2YzehN7XLwhvdmZmQXxp9UbWO7eW9PqxfOW1ItrJfXieUvqxcuyWb1QWXq9UN15vVDdeb1QWdbTK5eF394+nvlZ8ZqpEckweGWGtRk6xrBGZN364VvAZ0Xkjbj9yg/FTdf6uareX3DaDWNxMScshdFRhjXH1g+XisgQcAHw/wOPAj8A3pFVuzI3R6U0V23+6p5K1QnG1KTrOdgz4lo7Pb091S4EVdcK8WFnpmaYjsLPRgMec7MLpzwBaPSxGT2/CiikF9dK6mnk8COk5/dzSqsXypvXi+ctqRfPW1IvXpbN6oXK0uuF6s7rZa27enp5n5VkHhtig1eF0VGGFXJt/fBJ4JNtTpZhLH2sxVoYHWdYDcPIiS0QKAwzrCnRiqIVpcL8wETFe6efjl5ho43epCSUogezogs92Vdm5+ZXA0WvdRoLo5VKFEd0fxN6Pv6Qnk9PSK+a1oCen5OZVk8T+Y/rxfOW1IvnLakXL8tm9UJl6fVCdef1QnXn9UJ1V08v/7MSnGVYG8nQFWCGtSnMsBpGt2BdAYVhP0tNMJd1uksX4ltaRm327hkvRqiABQI5vM9tiMJNishdInJe4vqxInKViGwTERWRja3QbTfWYk2JVirR4b5LSZGSMDczUzUeMtP4V14rWvN1Nann/s7r+fvS6lXjz6gnpYX3NasXMq7JskzqpS3LpF4ob/X0stadvy9r3TXSCxnXRs9KrbzWpM0t1pj3ufOBnwB/hfM+92RVvScQ/ijg28Bngb8E/hi4WER2qOpVUbDlwF3AvwMXtUK3CKzFahjdgp9ulfbITtX7nKpuUdWNwL0473MhzgPuUdWNUfjPAV8A3uoDqOrNqvo2Vf0qsRWRTeq2HWux5iTUAiLlW2/mlkbBerVaXIXqZehBaEYva96K1svzrNSMSwRN2RJNG84T8z73kcSlet7nTmJfb3XXAOeISK+qNuxry6nbdsywGka3kG9J61DCX8ZU5E8jSWbvc9H5UPieKL59fHm0SLftWFeAYXQL+QavtgMjsSPkUD5Oau9zdcKHzjciq25bsRZrC2jl65rpFau3P+dtH+18XQHrgbHYpVr9nHm8zz1YI/wssDNVQvPpth1rsRpGt5CvxTqmqqOxI2hYVXUa8N7n4pyG28kjxE2B8KcDt6TpX21CdwEi8hwR+ZKI3CQi66Jzr4r2zMuFGVbD6BbavzXLZuD1IvI6ETlGRC4i4X1ORC6Lhb8EOEJENkfhXwecA/zzfJKlT0SOE5HjgD5gXfT98Wl16xeJnIkbMNuL26C0P7o0BLwzTyGAdQUYRvfQZu9WObzPbRWRM3DzU98E3A+8OTaHFWAtcFvs+1uj43rg1JS69Xg3cJ6qXiYiL4+dvzGKLxdmWA2jS2jndKvqfdm9z10PPK1OfNtI4ZS+nm4DngT8KHB+FDggR3yAGdaW4J1ulKJN5Hr7+yhFTjaKxq/siW9M2OyASTx/vf1uE7zFzF9yo8Bm8heqO1ic/MXrDlz+WjrYZd6tQjwAPB7Yljh/Mm7FVy7MsBpGl6BSQlMazLTh9gM+A3w86t9VYK2InITr5/37vJF2Tem1g/7BZYudhCXPCac+ebGTsOQ5/jlHFyPU/sGrjkNV/xH4D+CHwApct8DngM+o6qfyxmst1pz4V8X+wWX0RK+PK1cPA3Dg2lWsHHaDi+VyMb9dc3PulXF0xM2GeeT+3YzuGgHmt/WovmI28Djl8+Zfi+P5O3DtKvc5Q/5aYVzj+Xvk/t3ucyB/abxpxfMXqjtw+Suy7o5/ztEL6g5c/rLWXT2UDC3WLmpzqeq7ROTDwJNxjc3fqeqeZuI0w2oY3YL5Y62Jqk4At7QqPjOsGfGtncHhlRx02EEArDpwBQCHHeb2hj/6yAoHD7ofvJ5Scvft9jBbcVX50LhLy+3bVnLvvc4V3e5HXFp23LsDgPGR0Zotn1JPmcHhlQDB/B19pGs5Lmb+bt/m0hfK3/jIKBBu2cXrDlz+QnUHLn+LWXfg8heqO8jZcrXtr/dBRH5InaWvqvrcPPGaYTWMLqGI6VYdyC8S33uB44D/Afxr3kjNsBpGt2DTrfZBVf82dF5E3o8bzMpFxxlWETkfeBtuhcVvgY2qekOd8P24FRR/iXPUsB34sKp+IZ++e+CWrVzOIesOAGDdugEAjjjEvUY+bvgh1kw5j2c905N5ZDIzW3ZpWDF8qPt+2CH09rrn4r5+V817Rtyr88ToHmo5BBUpsWzlcoBg/h437PxaLGb+Zg9z/jZC+XN5g1D+4nUHLn+hugOXv8WsO3D5C9cdZHIgG6EI2niufTVsl/Ml4OfEnG5noaMMa84tGK4ADsatQb4D5/Wmo/JtGK3A5rFm4iQg9y9rp5Vepi0YROT5wAbcuuHvqeo2Vf25qqbyehPC70G0d3SCB+97FIC77nKtiDvudb/yd44czN1l5yPi7oGj9/kbOtf0tUjvzpGDq2nx6fLp3Ds6sSAPtfLnw4Xy5+MP5a+teY3lz5dzKH+N8hYvhwfvezRYd16vLfWUsu58/rLUXUMK2Eyw0xCR/5M4vi4iPwW+iFs8kC9e1UXzBZuJaAuGCeBlqvr12PmPA8ep6obAPRcDT8RNo3gVMA58E3iPqu5NqbsSGHnm866mp3ewg2YFlPbjWQHun37/nRUwn796swJmZ8b52TX/E2BYVUdrxe+f4W0/vpqVKwZTpWl0zzhHntw47k5HRL6YOFUBdgA/UNXktjGp6aRX4jxbMDwWt+Z3EnhxFMfFwGrgdaEboj7Z/tipofxJNoylg3UF7IuqvrYd8XaSYfVk2YKhFF17paqOAIjIW4ArReRNNVqtFwLvqyXuW0LjI6NMT7oumIfucat37t/mVu/ceWd85VUxy17nVya5Fk7elVeV2blqqyiUvzvvTK68Kj5/eVdexesOXP5CdQd+5dXi1R20fuWVLRAojk4yrHm2YHgAuM8b1YgtOGO8HvhD4J5NOMe5niHcTALD6GwytFj35z5WEdlNyv2wVHV1Ho2OMayqOi0ifguGr8cunQZ8o8ZtPwFeJiIrYmt/n4jrRwkay2jrier2E2K/3E1xy3W/M0csDbjthtsLccRi062qbGy3QMcY1ojNwOUicgtuv5xzSWz9AKxT1VdH4b8CvAf4ooi8D9fH+k/AF9IOXtWiMjvH1KyLYnqvs8OTY27kdveDOzvaH6uPI5S/3Q+6Pd6y5O+W636XSb9R2pr1xxrPX6juoHh/rLfdcHvb/bFaH6tDVXOvqEpLRxnWHFs/7BGR04BP4mYG7MTNa313oQk3jKWAkKGPta0pWZKIyDLcktYqeWdEdJRhhVxbP9zOvjs4tjZNUatizv+dSbXBZMcQz9/+nDfY/+oujlJK7Q6wW9wGisgg8FHgL4A1gSC5Xl26o/QMw6g6YUl7dAn/CDwXt5pzCng9blbQ/cCr69xXl45rsRqGkQ/rYw3y58CrVfU6EfkCcIOq3iEidwOvBL6cJ9KuKT3D6Hb8rIC0R5ewGtgafR6NvgP8GDglb6RmWA2jS/At1rRHl3AXcGT0+Xe4vlZwLdlH80baNaVXNH5b5W5Pw1KnXhkVVX5F6RTRxyoi54vIVhGZFJFbReQ5DcJviMJNishdInJeIMyZIvI7EZmK/r44cb1HRD4U6e6N4nmvSKpfhy8CT40+bwLOF5Ep4CLc1MxcWB9rC6j1j1HrfLNzE7P8I0qpVKgeFJu/duuFrjWjV/SzsiCuNi8QyOrWU0SOAr4NfBbnL/mPgYtFZIeqXhWFOQn4Gm4++tdxPj+uEJGTVfVnUVTvAM4D/hfOR/MJOIM5Any8bj5VL4p9/qGIHB3df6eq/jJzIUSYYTWMLqGAwauqW8/o+0YReR7OreeFgfDnAfdE7j8BtojICTjn0lf5OIDvquqm6PsmEdkQnT87OncS8A1VvTr6vk1EzsYZyLqIyJGqus1/j34Aavl2To0Z1pxIqYSU3K+6f+Pw3+uhFUWjcFrR6G/jVkkevWr8GfV866kVemnzltRLW5bN6mWtO6+Xte7y6uV5VmrGl6/FOpRY1j0VLfteQOTW8+nARxKXrgWeXUPmpOh6nGuAc0SkV1VnojAXBcJsjH3/MXCeiDxRVf+viDwV59VuI425S0RuBC4H/l1Vd6W4pyHWCWcYXYKSYfBq3jRsx71S+yPU8oR8bj0PqRG+J4qvXph4nB8F/g24XURmgNuAj6nqv9XQjXMCbnn8u4H7ReQbIvKyyH1objIbVhG5VERyT0MwDGMhy1I6n26WnNOt1gPDsWNTrfirMgup59azVvjk+UZxnoXro30F8DRcX+tbReR/NUgrqvrfqvo23FL4PwMexu0c8HA0rzUXeboChoBrReReXAfxv6rqfXkT0Cm4V/GFr+PeUUe57P7671ISStErXyXaSsO/ylVm55iLnId4pxuhV9nQ63FWPR9/SC/5ahl6XQ3p+fSk1av1Khvq2ojrxfOW1IuXZbN6obL0eqG683qhuvN6tbpS6uktWzGY+VnJPMgnkqGPtWpYx1Kul8/j1vPBGuFncX496oWJx/lPwEdU9avR91+LyBG41nUqhyvqtlL5IfBDEfkX4PM4Ax10iN+IzC1WVT0TWAd8CngZrqP4OyLyUhHprX+3YRiLRTsXCKjqNODdesY5Dai1x9xNgfCnA7dE/av1wsTjXI5zBRpnjgz2TUQOE5G3i8gvgJtx2zhdkPb+JLkGr1R1J24aw8dF5HicVb8c2CMiXwIuVtWQE+mORUriWoZRi6PcU6an33mf7xtw3TG9/e53pae3p+rH1e8pNjvj9k+amZphetL1/Xvv8HNRa6TCHFJa6POhGb2ZKfdshvQq0fbJIb1y1JoK6fX0ukcmrV48b0m9eN6SevG8JfXiZdmsXqgsvV6o7rxeqO7y6uV/VjIavwzzU3POY83q1vMS4AIR2YybcnUSbjfls2Nxfhz4kYi8A+d3+YXAn+IGpzzfAt4lIvfgplsdj5uh0PBVXkTOxS1d/WPg97glrC+KzxTIQ1OzAkTkUNyvx+m4X4hvA8cCvxORt8fniBmGsbioCqopDWvKcAvvyezWc6uInIEb9X8TzvHJm/0c1ijMjSLycuBDwAeBO4GzYnNYAf46unYxrpvgflw/6d+nSPZ7gK8Cf6Oqv8ic6RpkNqzR6/4LgNfiDOqvcAXzZVUdi8K8HPgX9p0mYRjGopHebWDeCUM53HpejxtwqhfnlcCVda6P4aZWbUyf0iqHaxu2qs7TYn0AV+r/BjyjhpW/hibW2S5FSuUypXKZnl73Ctc/OMCyweUALF/pNp1bvmIAgIHlvZTL7hd/bs7V2eSEe42c2DPJxKjzzL933Hmtnxp3m/bNMj9w4V/zmtGb2OPiDen5jZ1Dev2DLt6Q3sByl560evG8JfXieUvqxfOW1IuXZbN6obL0eqG683qhuvN6obqrp5f3WSlVsrkKta1Z9qUdRhXyGda/xU2knawVQFV3A0flTpVhGC3HDGtx5JkVcHk9o9pNrDp4eLGTUJe1h69a7CRUW2tLlaVQRscevaTnsRo5sCWtKXEj4n30LXOjuoPDKwBnXNcc5P4xDlzjRrVXDJboiyaeTUeTRvaMu9kgj+xcxs4dLlxp58LfNdkr1Q3y/IhyXG94zRBAar1Hdk6z9vBVQT3Z6/5xQno+byG9FYMujrCee82N642P7KF/cCColyzLuF48b0m9eFkm9erlr5be2sNXBfVCdef1QnXn9UJ15/VCdQfOuGZ9VqQ0TRasxVocZlgNo0to96wAYx4zrCnp6eujt6+P5UOuxTG8Zoi161cCcMR615xav8a1IFYPjNNfdp+n5lyLY9eku2/7AQPc3b9w0GF+1Y5WV9r4FTrN6G0/wL2Gh/S8Zkiv2pIL6K0eGAdIrRfPW1IvnrekXjxvSb14WTarFypLrxequzR6obqrp5f3WUH6yIK1WB0ichv1l9lWUdW6MxZqYYbVMLoEM6xV/iP2eQDnP/Z3uEUNAM/CzccPThtLgxlWw1hkHr/9B9yx/rmLnYyuQVU/4D+LyOeAT6jqe+JhROQDwGF5NTrOsIrI+cDbcKs4fgtsVNUbUtz3x8D1wG9U9bisuv3LB+jtG2D5kBvAOOjgFdXXuqMPHQPgiPI2AIZ3baU86V4p5wbca93Iajf7bMWhR+L82MDMjBvUmJ50oxbxZaF+yWMzek6LoF5ymWZc76CDXbiQ3vAut+9aWr143pJ68bwl9eJ5S+otLMvm9EJl6fXCdef0QnXn9UJ110jv8dt/kPlZKfX42bPpsBZrkJcRdoj9JeAWinLCspjEtn74MG498A24rR8Ob3DfMHAZ8P12p9EwliqKVAewGh7dY1j3stDvgOdkIPe00k5rsWbd+sHzGeArOH8GL8oj3NffS29/H8uH3ADG6lXzAyy+9bHmDz8BYGrLFiZ2jwDQv8rNdV1zzDEuoifAnjVPAmDXo65ls3uXi3NyYt4xe9+AG5hoSu8JLq6QXlwrqbd61cIBlrje1JYtAKn1QnnzevG8JfXieUvqxcuyWb1QWXq9UN15vax1V08v77OS1ZlcBaGS0mCmDbcf8DHgX0Tk6cBPo3PPwrVU0/gaCNIxhjXn1g+IyGuBx+Ec4b47hU4/EPcePpQ5sYaxBLGugH1R1Y+IyF3A3+AcZQNsAV6jqlfkjbdjDCs5tn4QkSfgDPFzVHVW0rlCuxB4XxPpNIwlic1jDRMZ0NxGNEQnGVZPqq0fRKSMe/1/n6r+3wzxb8L5lfQMAdt7envo6e1hYJkrsqEVpeqcRz8A4V8jt9/wa0buc4MUw+tcg3d9FNnwmrWsXrU+isMtp/Rx9vT2UJmrVD/Hr+XRG16zFiCo5+MP6Q2tcF3vIb3tN/waILVePG9JvXjeknrxvCX14mXZrF6oLL1eqO68XqjuvF6o7urp5X1WtJLt31dJ3xJti2eSLqKTDGvWrR+GcKN9x4vIp6JzJUBEZBY4XVV/kLwp2oGy2mGWspVrGEsea7E6RGQ36RcIrM6j0TGGVVWnRcRv/fD12KXTcJ7Fk4wCT0mcOx94LvBSYGuzaYqvzjHC9PaUmYm83hthdv9ylFVPXdl2HetjrbKx3QIdY1gjUm/9oKoVnAfzKiLyMDCpqr8hI6WeEuWeEr3RNhveKUh/eZryXvcq50d3R+4bY/cvF+6/dlB0bWjvGP0HTi+Iw8dZ7pnf8K7cU1pwra93fllnWr2hKFxIz8cf0ovnLannX1tboRcqS68Xz1tSL16WSb14WabRC5VlGr1Q3Xm9UN3l1av3rMzNZdxM0FqsAKhqqg0Gm6GjDGvWrR8Mw5hH2XfHvXphuwUReRxuR5TH4bZoeVhEng/cq6q/zRNnRxlWyL71Q+L6+4H359GtzFaYK1eqr7XTM/NOM+aWuUEHPw/RD0LEP/trc8uGqvd5N3E+zrnZ+a2d52YrC67l0fPhQno+/pCeDxfSi2ul0YvnLakXz1tSL5Q3/z1els3qZa07f1+o7rxeqO7y6tV7Viqzac2kw1qs+yIiG4DvAD8BTgHeBTwM/BHwely3YWY6auWVYRj5MUfXQT4CvFtVTwPiDm5/iNs1NhdmWA1jkXn8844tRCf1ctYMLdv9gKewcDDcswNYkzfSjusKWCxmZ2aR0iyTe53ji7E9larfTO80wy9FXM/8AIR/reuPru1cfRS79g5W4wCqcc7OzFadeZTKpQXX8ujtjMKF9LxOSM+HC+n5OZZp9eJ5S+rF85bUi+ctqRcvy2b1QmXp9UJ15/VCdef/huqunt7U7hEe/7xjcz8rabFZAUEexY3NJGcJHQ/clzdSa7EaRpdQ0WxHHkTkfBHZKiKTInKriDynQfgNUbhJEblLRM4LhDlTRH4nIlPR3xcHwqwTkS+JyE4RmRCRX0Tr/xvxFeCjInIIbsyuFHnC+2ec46ZcWIs1JdNTM6hOMzHmHN7s2r2M7TudS4GqO7nIScfwmrUMJdzq+dbO3XNHsn1n5Cl+t1uH4OOcnpyuurnzNKN395wLF9KbnnTdSSG9XbuXRfftq+dXH6XVi+ctqRfP2z56sbwl9eJl2axeqCy9XqjuvF6o7vLq5X5WphfWXSPa3WKNeZ87HzcY9Fc473NPVtV7AuGPAr4NfBbny+OPgYtFZIeqXhWFOQn4GvAe3Cv7i4ErRORkVf1ZFGZVpPdD4M9wg0+Pw7VGG/Eu4FJc61RwDq/9qs0PZS0DjxlWw+gSCpgVkNX73HnAPaq6Mfq+RUROAN4KXOXjAL6rqpui75uikfyNwNnRuXfgpka9Nhb3tjQJVtUZ4JUi8l7c638JuE1V/5Dm/lpYV4BhdAmq2Y6IIRFZGTv6Q3HHvM9dm7hUz/vcSYHw1wAnyLxPxFph4nG+ALhFRP5dRB4WkdtE5A01NIOo6p2qeqWqXtGsUQVrsaZmamKSymwPE5GDjR0P9dLb63+X3PxD7ztz9ar1+24QFw1CbN/Zx93bZ6I49gAwMba3quE3v/PbNjej518jQ3pTE+6VMqS34yH3TIf0vFOQtHrxvCX14nlL6sXzltSLl2XzevuWpdcL1Z3XC9Wd1wvVXT29vM/KzHQ2P8w5/bFuT1z6AOG54Jm9z0XnQ+F7ovgeqBMmHudjca3izcA/AM8APiEiU6q6Tz+piGwG3qOq49HnmqjqW+pdr4UZVsPoEnJ2BawHxmKXpvYNvfDWxPeg97kG4ZPnG8VZAm5R1XdG328TkWNxxjY0AHU84FvET6uTvtwL0MywNsH920erWzYbYSbGxqvbQBthbr7nYE48POSgrbUkXvEbho0YU9XROkE9Wb3PATxYI/wssLNBmHicD+AGneJsAc6sofs3OCdNqOqpNcI0hRnWlMxOT4NOMzHmRnClJAyvGeL+7aNMTTnDsetR9yq3YnBV1WmGH7jdM+7mIT6yc5KdO1wcIzsjhxxRnDNT09XXyEq0N31cz5NW75Gd7lUxpDcz5V4/Q3pxraTeikHnF7QVeqG8eb143pJ68bJM6sXLMo1eqCy9XqjuvF6o7rxenrq7+Z6DMz8rszPxhUKNaeesgBze58A5UvrzxLnTca3PmViY04CLEmFujH3/CfCkRDxPBO4mzG24uasPR7sHnKiqO2uEzYUZVsPoErLMT805jzW197ko/CXABVE/52dxA1XnMD/aD/Bx4Eci8g6cgX4h8Kcs3ADwIuBGEXknbieAZ0Ta59ZI56PAUbhpWUfShkF8M6wpmZmaQSvTVaceQNUJxtRe13J4NNrobWB5L+Wy+8Wfm3PhJyfcD/DEnkkmRt0AxN7xCXf/uGsJzc7MVOOXkmtpNaM3scfFG9KbnZlZEH9avYHlrumYVi+et6SeJv5743rxvCX14mXZrF6oLL1eqO68XqjuvF6oLOvp5X1WvGZqsixVzTHdKqv3OVXdKiJn4Azjm4D7gTf7OaxRmBtF5OW4OaUfBO4EzvJzWKMwN0eLBjZF2luBjar65RpJvQq4XkQewPWj3iIiQafBqvrYrOUAZlgNo2vI2ceaUSOb9zlVvR43gFQvziuBKxuE+U/gP1Om8VwR+T/A44FP4FrLY/XvyoYZVsPoEmz763lU9b8AomWvH1dVM6yLQWVujkppDu/2QvdUqk4wpibdDJQ9I+41sqe3p7pXlkY//T7szNQM01H42WjAY2524VxSAI0+NqPnl1eG9OJaST2NHH6E9PxGeWn1QnnzevG8JfXieUvqxcuyWb1QWXq9UN15vax1V08v77OSzGMjimixdhqJ1VotwwyrYXQJ5ui6OMywpkQrilaUCvMDExXvnX46amlF+xFJSSiJG2is6EJP9pXZufnVQFHrQ2NhtFKJ4ojub0LPxx/S8+kJ6VXTGtDzU4fS6mki/3G9eN6SevG8JfXiZdmsXqgsvV6o7rxeqO68Xqju6unlf1ayNSsLmBVgRJhhNYwuwboCisMMq2F0CeboujjMsKZEK5XocN+lpNXXMv+aJjONH0ataM3X1aSe+5tfrxp/Rj0pLbyvGb2QlteL5y2pl7Ysm9XLWnf+vqx1l1evXt3VymstKmToCsgUs5HEDKthdAnWFVAcHeePNcvWDyLyEhH5rojsEJFREbkpcrzbEnzrwzCaYS7j3lV5yemP1chBR7VYs279gNsn/LvAO3Hrg18LfEtEnqmqtzWTFv8aVpmdq77qkdLOZn2F8/ckXy3bpVfrVbZQvQy/Wc3oZc1bu/RqGdc8z0otKipUUk6jShvOCNNRhpWMWz/EtnzwvFNEXojzqNOUYTWMTsO6AoqjYwxrbOuHjyQu1dv6IRmHd+G+q5Vpa2WrwvSK1duf87aPthnWwugYw0q+rR+S/B0wiHMtFiTa0ye+r89QhjQaxpJFMywQMMPaHB03eAWZt35wgUTOxu3Vc5aqPlwn6IXASOxI7vljGB2JX9Ka9jDy00mGNc/WD0B10OvzwF+o6vca6GwChmPH+lypNYwlhs0KKI6OMayqOg34rR/inMbCbRoWELVULwVeoapXp9CZUtVRf9BiP42GsVh4XwFpDyM/HWNYIzYDrxeR14nIMSJyEYmtH0SkuitjZFQvw/Wt/lREDomO4VYmyjvdiLP8gJUL/hZ1rVG6mmVgxWDDNMSvtSOv5V7ncq8V+fNx+Dhbkb6s1/xnX7btwlqsxSHaYSUoIucDb2d+64e/VdUfRdcuBY70Oy+KyHXAhkA0/xryZl5DbyUw8sznXU1Pb/jB9/+cpWgTud7+PkqR96Ki8YsW4hsTNjsSHc9fb7/bBG8x85fcKLCZ/IXqDhYnf/G6A5e/enmbnRnnZ9f8T4Dhejup+mf4U98cYdlgul2F946PcsELhhvGbYTppFkBAJm2fmjX1raG0YmY28Di6DjDulQo9cy33nqivytXux6GA9euYuWwm7FVLhfT2zI351o2oyPO4/wj9+9mdNcIMO99vtoSarAU17fWQvk7cK3bHnox8/fI/bvd50D+0iwzjucvVHfg8reYdQcuf1nrrh42j7U4zLAaRpdQqbgjbVgjP502eGV0GC87xSZVNOKlG6YK0bHBq+KwFmtG/Gvk4PBKDjrsIABWHbgCgMMOc4NbRx9Z4eDBPQD0lIrxXDRbcVX50LhLy+3bVnLvveMA7H7EpWXHvTsAGB8ZrflKWeopMzjsBjhC+Tv6SNeUyZK/VhjXeP5u3+bSF8rf+IgbZwnlL1534PIXqjtw+Suy7l66YWpB3YHLX6juIF+XQBFdAdHg8ttwg8u/BTaq6g11wm/AzfY5Frgf+EdVvSQR5kzgg8DjgDuBd6nq12vEdyHwD7idVzfmy0XzWIvVMLoE7+g61ZEj/pj3uQ8DxwM34LzPHV4j/FHAt6Nwx+MM4iciQ+rDnAR8DbgceGr09woReWYgvhOBc4Ff5Uh+S7EWa0Yk2vht2crlHLLuAADWrRsA4IhD3OP4uOGHWDP1AAA905OFpGu27NKwYvhQ9/2wQ+jtdS2g+/pdNe8ZcS28idE91PKTJ1Ji2crlAMH8PW7YLXJbzPzNHuYW34Xy5/IGofzF6w5c/kJ1By5/i1l34PIXrjvI5OcwQlVJO70y5zTMTN7ngPOAe2Ityy0icgLwVuAqHwfwXVXdFH3fFLVyNwJn+4hEZAXwZeANwLvzJL6VWIvVMLqEdvaxxrzPXZu4VM/73EmB8NcAJ4hIb4MwyTg/DVydYsl6IViL1TC6BM0wK0Dnww2JLHDIMqWqodG2PN7nDqkRvieK74E6YapxisjLgacBJ9bQKRwzrBnxm7vtHZ3gwfseBWBqyr2Szsy4AZCe8sHsGYw+9xY8eDXi0nLHvcK997rXRj8Asnd0ApjPQwjVSjVcKH895YMBFjV/d9zr/tFD+WuUNx8OXP5CdQcuf4tZd+Dyl6XuGpFz8Crp3e0DOC9xNW9NfG/kfS4UPnm+ZpwichjwceB0VS2m7yYFZlgNo0vIufJqPQsdEdWaG5bH+9yDNcLPAjsbhPFxPj36fmusZV0GThGRC4B+VS18czrrY22C+/5wb81rV17fX/NaUdz+33cudhL49x/V9hNe71pR1CujotJX71mp94xlJWcf61jc21uNboC83uduCoQ/HbhFVWcahPFxfh94CnBc7LgFN5B13GIYVehAJyxFU8sJiy1ptSWtrSLvktasTlg+ePluBpanc8IyOTHKe161qmHcCZ2zcNOhzsMZxHNxo/THqurdIrIJWKeqr47CH4VzpPQZ4LO4gapLgLNV9aoozLOBHwHvAr4BvBD4EHCyqv6sRjquA36xmPNYrSvAMLqEdjthUdWvicga4L3Me587Q1XvjoIcinPz6cNvFZEzgIuAN+EWCLzZG9UozI3R4NSHcIsE7sTtAhI0qksFM6w5qczOMTW7F4Dpva6lMTnmBhh2P7izo90G+jhC+dv9oOv66mS3gfH8heoOOsNtYFaKWHmVxftcdO563Ih+vTivBK7MkIZT04ZtF2ZYDaNLqFSUSsqmaNpwRhgbvDKMRWbi0WL8SJsTluKwFmsL8K9rc/7vzEy94B1HPH/7c95g8equCONq/liLwwyrYXQJFVUqKS1m2nBGGDOshtElaGXBUtWGYY38mGE1jC5ByeDdqu4qVKMRZlgNo0vI6YTFyIEZ1haQdX/7Vm1HbXrN62XVKlqvtfNY2+6P1YjouOlWInK+iGwVkUkRuVVEntMg/IYo3KSI3CUi5xWVVsNYSqTePSDDCi0jTEcZ1nZs/dAMi7X6KC2l8tJO31JgKZRRubeYF0etaKbDyE+ndQW0Y+uHXPhXulJPubrlh5Sk3i1A9HBH4fzDm+Z1T0qlavxp9bSilMrlzHo+b3n0gAV6afOW1Etblq3QK5XLmfWy1p3Xq1WWIeOa91mphc1jLY6OabG2cesHwzCMltJJLdZ2bf2wABHpB+IOMofAtxgXthp9V0A5ep3036UklKKWSSUaXvUtjsrsHHOR8xDvdCPU4gq14rLq+fhDeskWUKhVFdKrtvJS6tVqcYVa4HG9eN6SevGybFYvVJZeL1R3Xi9Ud16vVou/ll7eZyXrQJj5CiiOjmmxxmjH1g9xLgRGYkdyawrD6Ej8rIC0h5GfTjKs7dr6IckmYDh2rM+TWMNIS6WgSaN+5VXaw8hPx3QFqOq0iPitH74eu3QazrN4iJuAP0+cS279kNSZIravj99H55qvPpuVK9N5XzeMIhgdHWV4OH148xVQHJ3UYgXYDLxeRF4nIseIyEU4j+SXAIjIJhG5LBb+EuAIEdkchX8dcA7wz4Wn3DAWGesKKI6OabFCe7Z+MIxuwQaviqOjDCu0Z+sHw+gGbB5rcXScYTUMIx+q6VdUWVdAc5hhNYwuQTMMXplhbQ4zrIbRJWTxAWC+AprDDKthdAlmWIuj06ZbGYaRkyLcBrbDraeInCkivxORqejvixPXLxSRm0VkTEQeFpH/EJEn5ctBazDDahhdQrvdBrbDraeInAR8DbgceGr09woReWYsqg3Ap4Fn4RYM9QDXishg5ky0COsKMIwuoYAdBNrh1nMj8F1V3RR93yQiG6LzZ0dpfX48UhF5LfAwzhvej/JkpFmsxWoYXUKlMr9IoPFRvW1IRFbGjv5Q3G1061krTK04wfn4ANhVJ0xbMcNqGF1CziWt21no7S3U8oT2uPWsFyYYpzjnHpuBH6vqb2roth3rCjCMLiHnrID1wFjs0tS+oRfemvjeCreeWeL8FPBHwMl1NNuOGVbD6BJyGtYxVR1NcUu73HrWCrNPnCLySeAFwCmquqh+lK0rwDC6hApadR3Y8KjbyNwXVZ0GvFvPOKcBN9a47aZA+KRbz1phqnGK41PAS4DnqurWTIlvA9ZiNYwuoYAFApuBy0XkFpxBPJeEW09gnaq+Ogp/CXCBiGwGPosbqDqHaLQ/4uPAj0TkHTi/yy8E/pSFr/qfBl4RXRsTEd/CHVHVvXky0ixmWA2jS2j3dKt2uPVU1RtF5OXAh4APAncCZ6nqz2LSb4z+XpdI0muBSzNnpAWYYTWMLkEz+GPNu6S1HW49VfVK4Mo61xvvXV4wZlgNo0swXwHFYYbVMLqEAlZeGRFmWA2jS9BKBa2k2341bTgjjBlWw+gSbM+r4jDDahhdgnUFFIcZVsPoEmzwqjjMsBpGl2CGtTjMsBpGl1ChQkXTDUpVsMGrZugYXwEiskpELheRkei4XEQOqBO+V0Q+KiK/FpFxEblfRC4TkbUFJtswlgxaybKLwGKntrPpGMMKfAU4Dnh+dByH26ahFstxKzo+GP19CfBE4JvtTKRhLFXavTWLMU9HdAWIyDE4Y/osv0ZYRN4A3CQiT1LV3yfvUdUREl5xROSvgZ+LyOGqek8BSTeMJYPNCiiOjjCsOK83I3HHC6r6UxEZwW3RsI9hrcEwzkHuo7UCRFtPxLefGMqcWsNYglQqFSopJ/6nDWeE6ZSugENwm4MleZja2z4sQEQGgI8AX2nguPdCFm5FsagOcw2jVVhXQHEsqmEVkfeLiDY4ToiCh2q60bYPXqcX+Couv+c3CL4J17L1x/rUGTKMJYxqJdNh5GexuwI+hTN49diG28Pm4MC1g6i97QNQNapXAEfhvIvX3WZCVaeI7evj9iYzjM7H5rEWx6IaVlV9BLdXTl1E5CZgWESeoao/j849E9eirLXtQ9yoPgH4E1XdWSusYez3ZHnFN8PaFB3Rx6qqW4D/Aj4rIs8SkWfhtnL4z/iMABG5XUReHH3uwTnHPQF4JVAWkUOio6/4XBjG4lLRSqbDyM9idwVk4ZXAJ4Bro+/fBC5IhHkSrhULrm/0BdHnXyTC/Qn7buNgGPs11hVQHB1jWFV1F/CXDcJI7PM25vcoN4yuRzWDP1ZrsTZFxxhWwzCaw1qsxWGG1TC6hCzTqKzF2hxmWA2jS6hU0u8MYAuvmsMMq2F0CbbnVXGYYTWMLsH6WIvDDKthdAnWx1ocZlgNo0uwFmtxmGFNyehoXRcDhlE4WZ/J2emx1H2nc7PjeZJkRIg5tK2PiKzDXAcaS5v1qnpfrYuRy8ytpHSxGeNB4ChVnWwmcd2IGdYGiHNv9UTgdtwy2bHFTVFdhnA/Aks5nZ2QRuisdN6vDf6RI+Oa1UfGtBnVfFhXQANUVUXkgejrWCO3g4tJzMXhkk1nJ6QROiedQKq0RQbSjGRBdIR3K8MwjE7CDKthGEaLMcOajingA8R2FliidEI6OyGN0DnpNJYgNnhlGIbRYqzFahiG0WLMsBqGYbQYM6yGYRgtpisNq4icLyJbRWRSRG4Vkec0CL8hCjcpIneJyHmBMGeKyO9EZCr6++Ii0ykiLxGR74rIDhEZFZGbROR5iTCvERENHAMFpvPUGmk4OhGupeWZMY2X1kjjb2Nh2lKWxn6CqnbVAZwFTAOvB44BPgbsAQ6vEf4oYDwKd0x03zRwZizMScAscCFwdPR3Bnhmgen8GPB24ETcdt//EN1/fCzMa4AR3NLG6lFweZ4KKG41Wzwd5XaVZ440DifSth7YCby/nWVpx/5zLHoCCs8w/Az4l8S5LcCmGuE/CmxJnLsEuCn2/WvAdxJh/gv4t6LSWSOO3wLvjX1/DfDoIpenN6wH1ImzpeXZbFkCLwIqwBHtLEs79p+jq7oCRKQPeDrzW2h7rgWeXeO2kwLhrwFOEJHeBmFqxdmOdCbjKOHWke9KXFohIneLyHYR+U8ROT5PGluQzttE5AER+b6I/EniWsvKsxVlCZwDfE9V706cb1lZGvsXXWVYgQOBMvBQ4vxD1Pb8c0iN8D1RfPXCZPUm1Ew6k/wdMAhcETt3O66l9QLgbNza8Z+IyBMKTOcDwLnAmcBLgN8D3xeRU2JhWlmeTZWliBwK/BnwucSlVpelsR/RrU5YkqsiJHCuUfjk+axxpiFXnCJyNvB+4IWq+nA1MtWfAj+NhfsJ8N/AXwNvLiKdqvp7nDH13CQihwFvBX6UJ85WpzHBa4BHgf9YEFn7ytLYD+i2FusjwBz7tlQew74tGs+DNcLP4gY06oWpFWc70gmAiJwFfB74C1X9Xr2w6vbfuBk32FVoOhP8NJGGVpZnM2UpwOuAy1V1ul7YFpSlsR/RVYY1+ue4FTgtcek04MYat90UCH86cIuqzjQIUyvOdqTTt1QvBV6hqlc30okMx3G41/PC0hng+EQaWlaeTaZxA/B43A9VXZotS2M/Y7FHz4o+mJ968zrc1JuLcFNvjoiubwIui4X30602R+Ffx77TrZ6Na8G+Azc96B20brpV2nSeHWmez8IpQMOxMO8Dngc8FmcEvhDd84wC07kRN8r+BODY6LoCL2lXeWZNY+y+y4Gf1oiz5WVpx/5zLHoCFiXTzvhsw3kuuhU4JXbtUuC6RPgNuP6zKdwWF+cF4nwpbkBjGjeV5yVFphO4LjJQyePSWJiLgLuj+B7GjbSfVHA63w7cAezFzVi4ATij3eWZo86HgQngDTXia0tZ2rF/HObdyjAMo8V0VR+rYRhGEZhhNQzDaDFmWA3DMFqMGVbDMIwWY4bVMAyjxZhhNQzDaDFmWA3DMFqMGVbDMIwWY4bVMAyjxZhhNQzDaDFmWA3DMFqMGVaj7YjIQSLyoIi8M3bumSIyLSKnL2baDKMdmBMWoxBE5AycF/5n47xW3QZcraobFzFZhtEWzLAahSEinwb+FOdp/6nAiao6ubipMozWY4bVKAwRWQb8BjgMOEFVf7XISTKMtmB9rEaRPBZYi3vujljktBhG27AWq1EIItIH/Bz4Ba6P9S3AU1Q174aLhrFkMcNqFIKI/BNuu5Wn4vab+iEwpqr/36ImzDDagHUFGG1HRE7FbSL4KlUdVbdV9KuAk0XkjYuYNMNoC9ZiNQzDaDHWYjUMw2gxZlgNwzBajBlWwzCMFmOG1TAMo8WYYTUMw2gxZlgNwzBajBlWwzCMFmOG1TAMo8WYYTUMw2gxZlgNwzBajBlWwzCMFmOG1TAMo8X8P/lJX/13aNSQAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "field_new = fk.replicate_fields(field,(3,2))\n", "fk.plot(field_new, dpi=100)" ] }, { "cell_type": "markdown", "id": "ca0529a3", "metadata": {}, "source": [ "## Translate fields " ] }, { "cell_type": "code", "execution_count": 5, "id": "8447a7a1", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "field_new = fk.roll(field,shift=(0.25,0)) # translate by 1/4 box length to right\n", "fk.plot(field_new, dpi=100)" ] }, { "cell_type": "markdown", "id": "f04f146d", "metadata": {}, "source": [ "## Expand dimension\n", "\n", "It is common to first start with a field in 1d (e.g. SCFT of LAM), but would like to extend it higher dimensions (e.g. to run complex Langevin). Here's how you do that:" ] }, { "cell_type": "code", "execution_count": 6, "id": "348bfa92", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Note: not plotting imaginary part of field 0\n", "Note: not plotting imaginary part of field 1\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fields_1d = fk.read_from_file('density_1d_LAM.dat') #read 1d fields\n", "\n", "# expand to 2d\n", "fields_2d = fk.expand_dimension(fields_1d, dim_new=2, npw_new=[32], boxl_new=[5.0])\n", "fk.plot(fields_2d)" ] }, { "cell_type": "code", "execution_count": 7, "id": "ec3e310f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Note: not plotting imaginary part of field 0\n", "Note: not plotting imaginary part of field 1\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# expand to 3d\n", "fields_3d = fk.expand_dimension(fields_1d, dim_new=3, npw_new=[32,32], boxl_new=[5.0, 8.0])\n", "fk.plot(fields_3d)" ] } ], "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": "3.9.1" } }, "nbformat": 4, "nbformat_minor": 5 }