{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The SHTOOLS Class Interface\n", "\n", "SHTOOLS defines three major classes that simplify access to the underlying SHTOOLS functions:\n", "\n", "* **SHCoeffs:** Spherical harmonics coefficients\n", "* **SHGrid:** Gridded data on the sphere\n", "* **SHWindows:** Multitaper windowing functions\n", "\n", "The underlying data are stored in internal subclasses in different formats (e.g. kind = 'real' or 'complex' and grid = 'DH' or 'GLQ')." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "pyshtools 3.3-beta -- Tools for working with spherical harmonics.\n" ] } ], "source": [ "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from pyshtools.shclasses import SHCoeffs, SHGrid, SHWindow" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot a single spherical harmonic function\n", "\n", "The spherical harmonics class SHCoeffs can be initialized directly from a numpy array that holds the spherical harmonic coefficient data. To initialize the coefficients to be zero except for the l=5, m=2 harmonic, we can write:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(,\n", " )" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Spherical harmonic coefficients are stored as a numpy array of\n", "# dimension (2, lmax+1, lmax+1). The first column corresponds to \n", "# the cosine [0], and sine [1] components, the second column\n", "# corresponds to the spherical harmonic degree l, and the third\n", "# column corresponds to the angular order m.\n", "nl = 200\n", "coeffs = np.zeros((2, nl, nl))\n", "coeffs[0, 5, 2] = 1.\n", "\n", "# Initialize the coefficient class. The default assumes 4-pi\n", "# normalized coefficients, but the normalization convention\n", "# can be specified by setting the optional parameters\n", "# 'normalization' and 'csphase'. The normalization parameter\n", "# can be either '4pi', 'ortho' or 'schmidt'. The Condon-Shortely\n", "# phase is not used by default (1) but can be used by setting\n", "# this equal to -1.\n", "coeffs_l5m2 = SHCoeffs.from_array(coeffs)\n", "\n", "coeffs_l5m2.plot_powerperdegree()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The coefficient class provides functions and methods that stay completely in coefficient space. To plot the function that corresponds to the coefficients, we need to expand it on a spatial grid (called DH2 in this case). The expand function returns a SHGrid class. The type and resolution of the grid is determined automatically to correspond to the maximum degree of the spherical harmonics coefficients to ensure good sampling.\n", "\n", "The optional parameter 'grid' can either be 'DH2' for a Driscoll and Healy sampled grid with nlon = 2 * nlat, 'DH' for a Driscol and Healy sampled grid with nlon = nlat, and 'GLQ' for grids used with Gauss-Legendre quadrature." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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vN/7jCvO3Hf9J7sAL7aHa3uoUFyhph/XFxnUyqS8pFpEs2iLUhJLLrYiVCBu8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n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid_l5m2 = coeffs_l5m2.expand('DH2')\n", "\n", "grid_l5m2.plot_rawdata()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initialize with a random model\n", "\n", "Another constructor for the SHCoeffs class is the .from_random method. It takes a power spectrum (power per degree l of the coefficients) and generates independent normal distributed random variables with this power per degree l. This corresponds to a stationary and isotropic random model on the spherical surface whose autocorrelation function is given by the spherical harmonics addition theorem.\n", "\n", "We initialize coefficients here with a scale-free power spectrum that has equal band power beyond the scale length that defines the size of the largest model features. The particular property of this model is that it is invariant under zoom operations." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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hmIUak6/6mEzb9jvBep1r7ECMsZ7lFLgBRCBhwWh6wbR3ziicN969QciJWJOw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\n1ozCSybhZXPsYb1EGaucMhU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TTXVdU61CjtQd9CcsS9lTwAcbZI55Q8B6mXc4k12OZZ9T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5R53/cFADlKbHBEwbnAYEqRRYSQEmZHBW+yyQZH7PKKbfYZEmBm6FiPBCcP19Btkw1V/vscRSyX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\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A3t5+zfzV0tV8sQcuJ2np0Ge+Yly7IndIoW4cs2Br95jxxoDJx/rkWUxgSjr9\nOdvxETdEe2i9wNu8wNvc4C47HDGcTAnnQlmpRhqUAdqcUq3yJo5oSbsLbn/yjHtXn2H2YEh5GCr6\nrBB4KJxk1znZ2+bO9We5Ej5kRw7Z5aAW6hG5q6ZwxMIh7Np5QRlxjaT1ICUP8PF5kf4QqPNxLIJI\nRZBUrhSAxguBOpF44crCzd1v+Xy8uqSaDbRyuw2xVosTxLIkMUs25ZhrPOB5eYePdd/iE698k4+/\n/CbPnN+ne6dAvMLmLZlI14gtoaqEMjTMuiFnyYCzYFTnYXlB7GuxqltbXfGdnRnJzpLYoXV9+TPv\nUvXfHXEG/QO2tyaES6tVUDxzHNEIM7+3Q7cHfQ7djroPq13IRoZxr8PEaK3IIgqpesGFdJI+5w6B\nd8aIuUNL+3xV32z2ZnaH7ffHBO+hSvaSOgm9Oy/Yee6UrB8zk+7K/HsLO2lZ2DregtAWdV3TEsNc\nFL3s69GG9RMqsYGQD0N6yYzOqESu0ijIpb6qA8siIRBbSIWyK4z7CafBiFM26vzZGR188eYOc3Y4\nrGsvjh20/6DY43D/OovbHXgngNui8U9fHMCDZIbu2beLoeut6L0dAGeweDjkzvaQ/atXGY1OGIVn\ndM2MUAqqOnD8KF16gVZ8pd/4yncsZrQkHU0Y9s8YJmd0XXxrScJZPuLkaJf5UYJ93bn53kMtqRnK\nqLdRaPInBH40RjYsu50DXuBtPsnvc4t32WOfDnNyQk7Z5D2e5eu8zBfKH+ZLR5/h6ItX4XdCvf4x\nunp8aaAcgqggjVTzHcqYMjZMbj7gcPcK58/ukL8cUj4I4TTQiR6g2kwoLMuEcTUgDjJKDL4lxVUe\nsLFzSr6jnQM8yGWPh9zgHs9yh2vc16aRroOAd2cdsVPnmtwNbnB3cIP7g2s83LvC6eEO5XGqVs9c\n9H5CoF8hGxXh9pSNjVOG5qwWSr6W5oKUSdVnnnUo8hAqSOIlo+SMPbNfW2xbHNNjWuf7+YafB+y6\nRpODOi/LdxT2UP4NTukxJWFBEFnshtRsXz1MKhB6rmKDr9N5yojlMCEa5nXMaUnCmEELcaYulT5j\nrnFfA/Eb5xxvbHK62GB2PqCcJ9gicFZ3hs2EedipgQG+/qC/z5hlDQxRJOWwLu91xogxAyd8lGEZ\nClKWLv9mWruVfEUFL9h8bcEOcyKHyvXlgrw7S52Z23VFCy9czoshy3lCvoipSifUEsEMSvI4rpm5\nz5frBVOiYc6Vmwd0uqUmeWe6f6qOUA4DlqOQk/6AQ7PtSsFtrcDAQWt19uyUQTGhl83o5xP65YS0\n0mLVRiowlsoYChNShobKaKpIJBmJLLQIcUe0KkofuCnYDGwh2FKtY2vAiiiSUiwSAZFFui4U0Yk5\njwcOLj6qew+euXVw7uKfE5eMM6NDSYjv0DHgnKs8rAE3YZJT3QgYmAXBRoUsnYcoFqpUqAqhU87Z\nCjUZtcOcU2acOEutwriVqmXlTu0GE9tnWqjbMY4yZtKpvQharExTAbxifc6QMCkIEk189oenJol6\nVQHSykTaoqXHhBRtUeSVDlOVYIXChsyCDseyyV15hreij/H7Nz7JV7s/wLndJZukWgxhjgo1Ud7n\nXZq14uHTfVo98vCpJxaW4ZD93pB9Dzjq4DpcPJ4uvUDjXeCqhWcrOten7G7d40Z0t9aGe84amdHl\nKNrm/avPcM/cZMyILIooNiPKQ4NdQtC1hNsF8c2M5KUlV3/gNp/mS7zC13iJ13mO9+pYm88feocX\n+Dqf4ot8mi9PPs3hm9fg9bBJ/nSmvLmVkz4/J31pweazD3ghfptr3Hd17CwLSTnubfHwpT3uPX+D\no6NdspMexTSkLA021hSBYplw2tmgigO6zGotPqIgxicDZ3V34i1XAKjLjMC5KQIqfAVrbxEdsc2h\n3eak3GRcDFnkHWxhkKLUWkq9QDWsAOhYZLAgHczod6f0zaQu1+Pb2vjs/qE5Y9Q5Jepo998NTtlF\n+zVd5QG7xSGDckJsM0Qs8zDhJNjkQHbrJMpzB/IQbF0i5woPucFdrnGPK3afzeqUbjknsBVWArLA\nMDcd5uKtoYScmLkrOLzPLsY9B9+N1+cBzRyiazUXRxNHfVHoK+lDlmlC6exFjVUp29A8tWldmskz\nE7UsFnUnhRLDNh3G9Dl1FdpPWrEx320gI3FIz6bgrlayWdYxXOM++7ivT+BWIag9vq5xn4mr+zlz\n4m9Gl1nUYxklLIcJuWNzaqdVThnQa3gEb07EWTBCBhXDZKIdwSsoQpilCefhsO7y7etwLki1egQT\njUOXR1yZH7A7P2Dn3gRuoxr9ETVQofZo7KBgkF2otmHZC1gkEXkYUWE47/awXcHuiGPRYV3XVYuU\nq3VfM+UVRm6xzpL1babOGLl41lYtjFWoDVyxXOOUJXVPhhQul1Vd4WMG3EnP6N2akt5auP3WKE1z\nhxqck7rKKF0HFVH3oT43rTLrE8CrPKBTzEnDBZvBSV1T0nterlYP2CxP67QbgooyMCwkba2duEb/\nBi7C6oWgj776HoCqElqnli6dfT+jW87oLjNMZSkiGCc9HsoVXuQNbvIuNzbf5yuf/SHevPUpFi91\nqN6NmtQj4+Zz02pbnI0Ck1YE1uXwzaA6CyhPA62AdCwa4jiirgJTC8InkFj75MrF3+8kIrb366eY\n3ZJ0b8yNzfd5hvddDb277LraYAnLGo59xHZd7eMhe2oBzAeUZUiSLumbCXuyz1Xu8wx360TYTeeq\nA3Ga0w7v8wy3uekcWS9we3qT8YNNZF8IpyURGWlvSWdnzs6z93kheZOPyZs8v3yPK9lDhtU5KUus\nEeZxylG8yX2u1aiph1zhiC3G5YCsTCAAYwpiyWtXg29OGFxYjO02OP4wlGChqgKyImFWdpkWfcbF\ngLNyxFkxYjwZkJ10YRw2bgoPgx5WBKOCqJ+T9s/pdab04zFd5mg7iMxZBwqXT1i4IqsT13p93yUX\n3+NGcY+d7IjR8Yzw3Kq7IYLFpnDeG3CY7PB+5J/BNr6js4cre6F2xT5ktzhgNJ0RjS3i7rdIYdkL\nmUZdxqbHLOgwl65zE4X1E/KZht5i8h0bfAkmX3Hfuz2bBkPaKiMnZkHCnG79/4UNKYsQKS2RLegG\nUwZmzGZ4UluVWrVkRkxjIWqNzsZK8BabF8jWicyInNAWdOycuFzScVViUpuR2MxlDeUEUmKCEhMU\nRKYglqxWeHxLI78ufOsRL3zbABMv3NRCnruk8pmL9jSWgS+Y7V2p7fY/QQs8sMshNxb36N4uFKxw\nB82/9O6pSCv/59sB2XZMvhuR70aUOyHLTcOskzA3aY3c1MyWwM2JinX/LNWi0nvx8czAlXeKXX0Q\n3T/WuWhDlk7QtAt++3Xgm+6G5A4/qs2gPFLVo4rb+YxtBWlWdZmVXbIyoagiXStiqAKtm0io1mQg\nWnPed4n2ymktyKq7XM8fsJ0dsVmeMFxOSBYlgYBNYN43nHYGHAXbHLkSWr7dTUZcz3Pg/LFe6Foa\nd544977vQNJ3T8SP1VCSEbk6mHu8x3O8zQu8xcd4i49xe36L83d3tRGusk61sDYrou05g80TRumZ\n81y0uo0sUxbnfcqzhHJsKMaGchJSLEPKLKCyhum/O8Ja25ic/p4vu0D71+yvkLJgwLiuatGUoTpl\n6BAyXiP2i33Smh6NLfjqrdbpMXmrlIuv5O396Bq4P7LbnNhNzuyImXTJg6gO2mozv3s8xx0n7t7i\n1vwOe4t9hg+XWq7Iay1DzdM4vdLlbnSN93mGu1znAdc4cHX/tJJAsuI2AGoLwzNc3zZH2ZV25i6s\nIasSChuSlRHZMmE5S6lmMUyNxhJ92aLcASpMRdgpCJOCsFsQDzOi4YLB6JSN9JSRnLXQoFltjfiY\nh7dIYrJ6Q25zyBX2tQL57Ij+6ZzoLCecF5iiwARVnYxabQgng37t8vHdxevO3dWYUXnOIJvSnS6I\nLrgqPLrVppClQh4bCokc69bEpcqJ/ioItByRSciCiHnYYW5SJwS1xUWjOsS1O3VOyti5pY7YYh9N\n0D2pNjk922A57UAWgilJugsGgzO24yN2gwOnTu2zwwEjzuk6UJIHu3iGfOrcUN5q8xr7uBywKFOm\n0y7lLKGaB9hZAItA11UBWEtgCsK4IO0s6MYaZO/HE/qJHr30nFF0xiAY16kDMTm+j6Dvhh5QOYVF\nGVzXMTWvzPjqNICzWiN3pbgGwrSbOfaZ0FvMCMeCnQpVpvGq0oQUqSEfGM67HU7CrVqwL2rrSBm9\nV+q8G1czRhRY4Sv3n9gtTvINxssNsiyhKNT1LWIxooI+DHNCUxKEBcYUSGCxIlQSUIha3wputW5X\nLet8T9/vq13QICNi3gL4HLPFQbXLcb7NeDJift6hmMQwN1rk21hIC4JOTmdzQdKZs9k5Zjs4Yo+H\nrqOhWmM3HF72SnHA8HxKcG5hDlURkEtE3onIBgknG30exF5xv1KjdscMmNkOZeXGBdhA1BWLXbHO\nmgICM1dv0rdFHjtXuqJtli495Igd7nGd93mGOzzLPXudg7t7cNjBF/7XWGJBd/eUveE+V+Shemo4\nULCY64Lguye0FYKxE8hTevyq/JuPFWiX3uX4Q3y5Zp5+w3m4dObyOxIn/aXWwqJaS/GTCDhP9KqL\nxwfwx3bANOsxKQYsii7zIiWvYorCVeNPC9LOjM3ohL6ZsMs+z3CXm9xucqdmY4LTgOUiJAwKSMBG\nUKYhhYSUeYREHpSgPcJKAiIKpiyY0cG3kml3A8hqNhTXn7014RdtVOXEZUav9IhPCCJL0BewgjjF\nRoKSwJSEcUanO6Nvpk6zPnWi5bwGOigjK2qB6jVh76qbuarnBbELvTXa3qB7zqh7xsb1s5VNktRW\nQ+HuvqpdXglas7KTL0iXOckkJ5yim2XBauDbguNDJMaSSKGYdKE5AhoXRqzPhBSqrgrBZRySBTG5\nE4Qecr6UhJl08B3Cj53Vf985Uh8GV9nv7nFuR2RBj7Iy2AKKZcgs7DIOBrULR5+luiD7Lmbhre22\nYDtnyLFz4R2zzZHZ5ijY4sjsMGODxTIl3zdwaNTFcwKMoVpEZCVkwYBz3518A634sQdmb05/a0y3\nO6cbT0niKb14RjeYkcjCWR2Z2wmzOjHdM3IVbE3dPdBUg4ykBqJM60Jh3drVlpGQJRF5pBDtrIzJ\nq5jMpiytun+zRUQRBBCCCUuSQF1fvveWChJt8QPU+VxH+Tbns03OpiPG8yFnR0OKhz19Ju3uBa4e\nox4WhgWml2OSEhNq4V0EAlG3WGDVSk2CjFgWdMyUTjRjEE7oSNMN27p70filxkePiy1Oz7bID7pw\nZJpCBDmKSAojqk7EdNRlulWwvNZh3ukzi3vMEq3xecYG+1zhNscMwjHp1pxgq8J39Whc11scFLsc\nzvY4zbc4z4dMix7zqsOySsiriKoM6gLmQVgRRBXGqEUfhhlRmNEJ5/QDl3PqDIYNTuv+Zx6BW2Jq\nCxY0Nuq/X/QjljanSA1VbiBShHcQVFQ2oJLAbVVfO/esvn674pE3RDxv+dUnyINLL9BOGaHVo3J8\nf6nMibaUDjMWDlyqgXKgRnf5tixLt/lmbpvMXWHOuWMmczpMbJ9J0WO56FIuY6rMUJaB4r1DKAhY\nGMs4VDHjXThzVz/wDs+ys33I5vYxQ8Z085l+TyqyUAWRaiK9GgTh41CeWWhcNaqTZRfOJdY0S1SX\nikcAeqBAT6YMonN6kTZR1Njb3EWNMmdVUetngBOE3smlGrFvbRG1NHjvfvPxgIbJbzVAh3LANO9S\nlDFVZTC2IpScxMwZRGMG4ZgN8ZlVx3VOlt9AfhOlzIltRlosSWYlxuca+bZYIU1tSSesrAEbQmWg\niEJKUWusDEIFGgSBng8MZWSoooAqDKgCTTuzXpun1O4AUtXaeBcPg9eYxhUecsj7HLLLUbLNaTJy\n1rXG4HSdFnWMSxuWjuoY3oRebfGYOmig8HQf/NcUCAX7nMoGp8NNjgbbHF7Z4fTKJtlxl+wwodyP\n4ChQhKpvcVO5ZzWhzqMrpx3OTjucbRdEmznRYEYvnDiLbeascK/WqUDzaD8fpfIu7yYepW67GR2m\nrVikty4bd27CskhZLhKq3CBW9Kj0OQdBiYlc2eBg4TozqLCf0uOQHSobMF92yOYdFrOU2azL+eGQ\n/H4P7omi5o5Qd2a7D9wQBWrtoVVfOi4aaguCUi0UWwaU1rDMIopFBFmgeaMWLfwd5URpRtzNiCM9\nomihhbPDEhGNKWfEEECcLrFDQ2kjrDGQBIqEntFY1TPgOGR6f4vpaJN7g2dJN2Z0ezO64Yw0nJGa\nObFZEpkcpOFnS5swqzrMbI/posti2sNOIpiZOkeQsmXUGBRgEaBIxxiILMQFUXdB2pnTjYf0wzGD\nYFyDYsYMGDqvgoKQcnw7ni2Om/qlco/JRp/JRp+5TckzZ0QYSxTmtVKnfDuqO1CcslG7sRv3d+iM\nDbWRn0SX3uX4s/Zv1xrEsMYmjVceeEyGsRrbsaIbToVZUgsFHzvxMFoFD6Q1WEAFX+xceq60qI0p\nrbMjJND8H6rardJhXqPr+iv3qBZJj0nNwJoJxE2gNiyduYCxdzdpkaaN2hWn0Ha12jwYo+0m2KhT\ncPUYcu6Y1NwJ3moF3u0ZzhTfoaxXPyPv1vQAchWCQW0N+npvdXNVF2WZFx2Wy4Qyj6A0YCGQkiDM\ntUdarFVHfHZVg2DU8LhH8g04VyhDNSctlkSZrVuVWCu1+7VyQqsKDEVoyIwhCyNmYacOkk+dBdlA\n52O0MaSKbO/aVcu/cA4073zMCClr18yqBukD/IOaAUxtj1nZIStiqtKAlToQH0tGYhQinwQLkmBJ\nKk080guLZnMHLaUtqYEMGuHoMy4HTCZ9luddqkkIs6C2XIWKICzVjRwXRElOlOTESUbSmdLrTOhG\nU+0i4Nalt8J9nM2P2buWL3ZL8F6DdsNd7zXweUseuGGtNKXdwMX7yjoG3KQp2AaBV8XMlx3yWUo+\njVlOEuaHHcoHCdwPFFjyALWAfO1HUGVnQG2Z8iyuOWtJdG1JZ2tCv3tGJ1o4ZULICZlVXabzPtOT\nIfYs0RqkUxoFweXJqbVnkVFONFyS9Gek8YIkXNaAqcoGdfWicplQLkPKpaFaCtVSexjaQhrvQmSR\n2GLikiCpCJMCE+WE4ZIkWpCE2crzogJbCVUVUJWu40QVYEsDCLaSml/5eKcXFqUYcgkpypCyMFRW\nkKAiNBVRmBGHmRbsDmcMojFDc85AxrXHxvMUX3RZ56/EOp6kHamDeh79qz/82vHK+bJWt+N6PVXO\ntSJY/m/5U0+ny/E57qDFkrRl5jaHbFRnDJdTZXpVodMXVFQhZHHIzHRqp4lnPDH9OkLiXXeaByJ1\n1QZPbcZZSFhPRuEEkZ887woNnQsNWJk0TV4ta/dJz06Jq4w4K5DSCYsgZBHETKIuYzPgtEaPbdaQ\ndu/e8+AFoSJ2QjV1WpAGXNUnbRFmdGum5AW2D4SfOUTXuROaXtj763s35kXwiWktUS/QN0HLRIXN\n2mtyqtrB+ayGHhtKliScssnU1VVsNok2bSUGG0sdyPebs808G+RiyrJMWWQpiyJlWXRYFh3yIiIv\nYvIqoigMZRVSlLqZrQ3qeEIgVc1sI8kxUmKCSvO/qBCrRYXLylBUep28isiriKyIKSvtZ1dkyiyo\npHZ5SmgJUmVYJi4xkR5hWGDCnDDIMUFBIE3wviLAVoKtDEUR631XRnPJSg2eSwUEWrGFoUBSYLpL\nOt05/WTCwIxrBUsbKp7XZbjSOi7m3fQKC2nc28mK4uLft5lQ4ez5ssZ+KjPSwtCKxAwlJ5SybizZ\nbmXiBWROpLHCrMd80WM57bA8TikfxvAg0HzNfdQS8/34fGJ1RVMFo0tTtGATRdsNtOSTBBbJAoqi\nw8zGSGWxuZBnIdkyIZ8kcOLyMX0HjHZ+W12sWLCbMdl2SLEdUm6ESL8iDjONNUtGFOeYuEQG1o1Y\nn09ZGTenLWBXUBIFOVHggTwLF1hYrkR1/Z5rKxqeR62CmKIaKdsAdzyH6DC1PeZFl/miw2LaoVrE\n5NOQvOgxkwpMRRAXRJ2cOFUX9SAeMwzO2ZBG8fQuQ4/CVjd6WStlVX0vSe2Kzoh7ChUZAAAbxklE\nQVRX4mSen/nQCjQF2Hs8xe1jvJtq27mofG3FEG2OuSChtKEGaiVhUgdrVy2dRihoDkYbeq7tVLxN\n1yykkKKFDgpWNA2PnvPXETeZajqntdZpkRYOMXJLS2tue/03JnOpG80S9dp7W4P25rnCgE3NGGjB\nlR0M4jEMROpgflvLLjBYglpbfxyCskHMFbVlcVGjB68ISD0SS6Mc2Bbj8wLWa3L+Wfp78tbJ0iZk\nRcwiT8mKhDKLqHIVGkVpKIvW+9xQZkYry2SmcR/5ZpTtQx9KQ+1mqe34W9u50S4gXT3mc9D6v8gd\nDrRSdvTI0wo6JZJUGsdJCmUiYYlXRsvCUFUBZRbCMoaFaUpP+cN3ifYupdSq3zUutKCxQ695sd9E\nYNvWZzNn3mPgXfPe+eg9Gj5Wpu7vyHkuQkobYK0DHAiIVBgpiR0TVh1eH3g7F8oLM393C1JmpXP3\nT2Ls1EARNNWAtmiSqdslr6BJ9nbxUW0p5L53D+yhITM9Munpc1u4Y0rTBHVM01HC91yjdV1f73Eb\nTTG4ElCdpyyuGKqdkHJokMQSSY4vDN12+UfkhEGhSlNjM9WcxHt9GqvVT7BfeuJUw4b/+L2bOSXU\nWzpeoC3dri2c5WMoiSWHcE7QqYhNRt6JsUUIhQpaoO6rWGKY25TKene5IshTFrUg82Ahnxfp933t\nIbMJi6LDNO+qkpl3yMqUrIoUjBMEVAaCuCRN5vTDiXp2Wu74i3TpBdohO1QIhYOP9tglCZaEnZyg\nY2vNxLtmfD7JuOUWamC5sRMADapLA+Jzh+wydYypDXcN3Ga0NHkwOo1ly3qIyNCeXG2B5C2TlAWp\nLIjNkrTTCCnwPnJdBN4d6JN/T2vH3AanxQbnsxHLWZdyHlLOlInbXFhZA2IJjEUiLY0VJBWSVEha\nEvcWdJI5abBock8cWKOtcXk93cfWVgXXqitSn4fefzuRIKuFZ7yiBLQ1Sr8B/HdyIjIbkVUJyzJm\nuUhZzhOqeQzzEOZBw9TaR+GOnEbQ+JvViWxe24LL8w1hVYBBwzSrx7z31/MtRUKayvUdXL8wC72C\noFMSdXPCTkYUZURBRmRyIqPIQROUWuPQQlFGtSVWFRFVYShLFXJVoYctG+bjXVfqssqIzBIjJSXa\nxUDdQdoPq50G4ql0dnSbCS5brvpFlbIoE/JSLd3SGkprNMaEVvwPowJjdOb1MRYORbeqHLVdjB6q\nVWEojSHvhORRRDGIKa9EVFlAWYRUeaDWdRFSFM5CrfRztowp8xCbRaq8LN38+24CZ9Slr+rDl2ea\n0FQRWtK4GP368HM4ouni3WldZyxUnZhFHFCFliDUCkbt1AjvPqN19mKSs1f4FqS1pXzRtduERJL6\nyEjInJegQivBeOSmX99GGgHpazIOxBV7D1vuZesOvwEEvQ5NyoRXk73rvcBQ2EjvYRmTLyNsFlPl\nAeXS6JHrazEPqTIDeQA2aFpqpUC3QoYF4caC5UZCFQWE8hQLNLVwFA0G6tJT95Si5IBa49Nq+QqP\n7jNhmyPnFjFuQtQl0kZMestMXXgeA7lcsUD8b/gs+4tH4yDwrkzPMakXga+Q0V7U+nfBNyP1bgIv\n0HyFiVM2Ocq2ODvfZHnY1eabR6JxBO8i8ZB2z3jbLTYGuFp8FWYrJ97IiPoZUXfBoH/GMDlXYImz\nfn3+lAeUNK6EoB5nRgNv94xvmScs84Q8TxQdWoWKdHLP3iJUgYCpsAFgLGGkMGqMuoYIfDNSIQgq\nojjDBBVlnGM7hsJtFrswsAiVkbURkK3yPyvWWFsAeUHmrbK2gHsceVSlj6l4Bdo/64BGsHnrzPjr\nBVhrqSoVTGIMxgRYo8FznzummnqJCb2jqqzZoqJ1K21Qbq2zwlYjXCYo1VV6IT7lXVWerXoGmTuX\neBtF612Jfm7r3DwxlEGAFTBWV6uRUivXS6EABtF4YVyz22WNaPWALm+d+GhLE6cTKhNQGUOeRCsK\nUm2t1+5lXaFZFTNddlnMOhQzi53GWrzc1xL0Qqtdld+ljNRWmE8B8XPv0bC+eaxvfdS3MMqJRhlR\nvyDqZUSdgijJCJOcJFmQyrylDDaAh8wpbT4lpb3/mzQIU78+LlbZRjgX9WoxlBJqbB9Fa5qgwPdl\niCWrrUQfHvAxsKRW73VOQilq4XdRqDaxXI8IT2vs7oQBpRiWRliEKVneIc9jqpkDqvh9mdMoi7VF\nrcpeNMhIBgvSzpRhcF6ja59El16g3eLdOg/EWxBelDTwb7+BW7kWVYVUlQIUKkvgCmIElUVKS1CV\nBKV+L6DU71j9n0AsBOpG8QzPGqEMA/IoIDchWRixDJLWgtPF1k7Q9Uu2nVvW+L99v7RwRTh4gTbk\nnDNGrr7AhF4w4bgzZbI3ZDboMe11sb1UN52DcNcuE19mxjfjPEI3aRpQdhPm/YR5H+hXnPa3iTs5\nJiyInKZtTEHg4h5tqkpRxlwEteVQFs1RFQFlEWALl38joOXqaZh9YvWILSQVQaci6Cxr8EIYFYp+\nk4IoqFTztahgrHwcK6QsQ6oi1LhVZigWITYP1FW1NFqDsS3c/FAuWmGeofn3/u8eMejPta/TtgLL\n1v9CIxwNEArEBpsY8jQiT1OkUzLv6rhNryDsLEjTOd1kRhrM6bk17st9dVsJJoksScW7eorGnbWy\nB5o5a8AcjUu3aebYRGu8sFi2BFqdZB7oUbmHpEMra8bcAEp09QfOO9FAA6pa8DYuaFPHsL1zP6tZ\nrReFKfO8wzJLyBYpRaZIyTI3FJm33BR0oS5mGiQhqPafoC5Cb0EbIC4xyZI4dUCIYKnAnWBJbDIS\nkxGanDjMiMKc0BREDqgRRWpVR0FW7/R2fEunv3LPqbF4miXWWGueAifUPbWFfINBfvS1QkBUKRIs\nGFsr674eaux8JFp1pumg3Y6JXwQB+bBJQZPE3gaDtd3Pc9FKPYskZR53WHRSlkOnzJYhtgzqPSRU\nDtnqYodGn2knnNOJ5vSkSRXpM+Gf8Xi69ALN18pTd4ZtTageBqk3WdTaXKFoBQWFkCuDNrYkLN2D\nLfwCBCwYv6YuaOttxdxaqErv026h7R4Rp6t11Vbei6jvuOW+9OJ5UccuujWAw1tqZ+GQk3CTk94W\nZ3bI6fYm02zANOszX3aYn3UoTlNNpB7TJFJ7bdQPoqBxu5iAMkiZm7TZ8N4d0HbRNQNZfSCw6o5r\nx5/aTMRbMCH6oEMFMUhaIlGpLquwxIQFRhpHZm3XaSpd3XG6jiXYlisqDylyQ1WEVHmo9RfzAIqW\ncINV4da+94uffesU23rvhZrv0+WfJxeu07b+/DNw47YmoAxKbJhj4gqTFIRhQSLanNSjZbs0/eka\nlFkT1fIxjDajCslXVmEDzQnqtdZGqyrazNvi3i2s67FdZcWLpnaM9OL6XmW2Pk6m3gqF+TeuM+8+\nq6vPl12mWY/FvEOxSNWdvjCUc0M1DahmBpYBLKVR2NrKhreyXdxSXVn+sMigIB7O6XRmykDDCf1w\nwiCY0JeGifpMurQlVp+kNLTH30b4rboSVXi3nHmPkM+xa1tv8ggnqR75P//7yhOD1jeD+u/teWnm\nSeo5ri7cc7O3DE1oJcSXf/OepKYUXFXnqnVlpukwYRsk1HgS2sGGqBa2qwCYWnFj8YSn9RQItNvc\nbD3a1WCq1wpXgaHuoUmuKKs6YuP+ZvUIbUlgS4z1C6mZWuVHVa0ngUXEM1cXQZJGq/EItbZW1nZV\nemqEnkbxgJXF1jiYqlrLSlnUiw1UcCeypJvOOU8dAtL2GO8OmC17LCcp5TRSF8xcVoWajzF5ZtCm\ndiJyzYRphJu0zhkgrCBWszdwwAZjHKLNWE3mDBV96lGDBNr2JAgqcA1ZQ9EEVxGrLkf3TP1T8gy5\njepSC00txDY4pMwNtgjrQHetlXhB7cpvuQlqKEARgwCBor3Aaosd9141S82dAtz7SteQk3zexRdR\nuOC2KlOhK08VGn0fBRmxWRKHC9JgQSrLGkjga0F2a+favI5oeQbbBOPVEaVrpajX7urkSs1g/U7w\nTK0t5BpXlwc7CR70dJHxrSLslJl7QdnW7n1sVEXDKjy/qv8nJA4yiijEBgEkgu1UlLNIC/2mBvqt\n+Fg7Ptqe28iqGysuCTo5USd3bsGcOFzQCWd0zYyueJjLrBZenbYV7KxfD8X37sCCcCVU4M+3hbhP\nu/Bxev9s2uTz+fTWK9qgGX/9Vdekzx61K/ylTe35AEvFo8KpPT9N3LsF67/w3fbn9rz7V30mzTMQ\nGlS0rrrGrexXjwfAtBGRvryZv48ZXUKe4hiaaosau/GPWif70ep7bReAF3ghq26RUHysoT2VqxkT\nzbZvJqMx9O0jTKONJtTXVavNa0MNmKTxTTfxi8ZPvXT5R1Nv2jv2NnNVOhZ1lb2OAiskIIhKIsmw\nFvKopEituuByF4wtZdWN1oT5lJmHJYQVYkqCsGoCx5G+DwNNEtfYSaWWVFAQOpi7wt9LjIO6B+KE\nlOhcidtoXkGoWpuhiSEEF2aumaW8iigrU6Ma8yyizCJs4YRYJTrGQhQ2X+jM1NPkBTLuNVA3DaaE\nsMRERW0phnFBFGSEUtTItdDFiPRzRiwZoTQpCW1kbBM7at63D29RRS3tP1pZHe1IiUfBFUhrZemQ\nGnXJPyv/TP0qbZQBU59vmK9+31/Px7tsvXZXFS6/tu3KLmiuVxC6VwVXNWkubWH36B4oJCQLY7Iw\npkhCsm5MPnTgmCqktCFVZaisJkKXrX0GQinOve1DBYGtY4oS2JU93eYRBq3J6IsXTOjXQqPtum0D\nOzw90QPTet8ot2WL4fsKOeUjvCesFRT/ueFlbWBWW9h5HEHbamy/lq358tbWqnLTKCbtu2rq+JgV\nJaYR2o3l6QX440IrzTPzMJnVZ9nmsRef2+Po0gu0H+CrF6R+o8W0H/mqHunDmo2vXwVhdUEo+kVR\nXlgoqw+1LcAe598uV5Zgw5Rz57rxqQLtYHs736eJYSQrh4eo+A2XOVeRlsdS5gCq3cXkBKEl6mVU\n3UBruVUBWMFWLWQcLi9HbF32h0Cfa+hKRxkpneuvpQBI+/kVhK1n7pmu37QXY29tWD88ymT95tKw\nub4LKSkpnGasgqUy6uItrKFKAkrX38uWxrmDDa39U5OWOLJ1Q1MPngj8OJ3gqgWY5Nq+BF/ctkmh\naHCAmYtjNSAIL6jaQkzP+ZC+zyt6jKL1yFr167FYeY4XY2RtJuLJP9dmvQaPfM8Ls/a8tOlx555E\nH8TcC3wsedVS9AKwzUhrV6WEFMZo3ccVVXVVBGgOafO/7b81dkCz1tphgTZTbhTRoH42/u8Xn+vF\nka8y4kYJ9uAcz7Pad96OZbU/N7jgoqXorDr7/H7zWYDttdPwwsbqa1tP7flpFBRZeS6r8bpVq1xf\nqUfTflbt/dzmxG1+6X/Pv3/S+n2qBdoWx/X7iwN9nKXULNhwZQEKj1pUFz9ffMBVa7E3elt7goNH\nNJ6LPmjvVvGL4PXX7vPcq7daqKUmcdt/d9WxGuLBwOpvz9wmCOkyb+5F3KvRMVe2rb8L7YIxIo1b\nQz+vugfavny1rmhtzkZLbFuux699lb1XXwZWr/24zxcX8cVN9rhzVqS+1zZqzy+B2pVjpVZKgNoa\n1/dNXO5Ra76xDX0ptduvvcsnXr1CUxbMt/HJ8NGFJn5VENZ/K1au6QWa/yxUmKrClCWmKAkLHaWp\nQNz7Wo5Vth6jNMOqY5lP3vqPF0i/9tsVP/HHHhVwj/DqNvkY1ePOX7yGnxJ3vcK9Vq5nWWUc4zQa\ngy4Cs7Kv2sLoce6vNnP1577w2phXXt2u2XvxhP9rLMnGlda46sB3H2gUr1W34pPooqLRVqy9KG0r\n0auhkjbApgmR/P5r+3z61eGKlXZRWfdr7HG/odPRKEPtPaHfaQArnmqwSeubXlg1z6Ox7Nt/v6is\nXASwVAR84bVzPv3qBo0HQFZ++9uhSy/QPs+PrHz2msBFerK2+pjNy+MfoBdSDa1aY4+75uM04OKC\nhly6abAIX3jtbbJXX1y558dNbvv+dLEun6gJXxyDu/XVjSarMb6Lm9Av/pBGu2t/z2uaPt540Uf+\n26/9Bh9/NVrZxG2tsW1dXwyEr16fWj9+kgBd1X7V0qqFsKzGIzwD8b/btubblmYj5Ir6Wn/rtVP+\nzKvdWrCHZYkpS8LCXbuwhCUEpW0ETmXBWm1zU4FUFkr36mSuVLYGlYgHnECDCGsLrnY+Xfs8PApq\n+TboN38FfnJYrQgfN9GrQs3HVC++Dy4ctF7D5tW618S0/iZgWzFZfS9UDrtjA7QzggkoQoOVVavL\nCyM/c6BM9u+/dspPvrqo95oXXurmb4TUxfMXvQT+euDjQ4+evyjcnsR3gHrl6iN8FF7rY4r6XS1P\n57/7u6+9x7VXX3zE4/EkxfxxnqU2XTz/rYT0RZ5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nl = 100 # l = [0, 199]\n", "lmax = nl - 1\n", "a = 10 # scale length\n", "ls = np.arange(nl, dtype=np.float)\n", "power = 1. / (1. + (ls / a) ** 2) ** 0.5\n", "\n", "coeffs_global = SHCoeffs.from_random(power)\n", "coeffs_global.plot_powerperband()\n", "\n", "grid_global = coeffs_global.expand('DH2')\n", "grid_global.plot_rawdata()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Rotating the coordindate system\n", "\n", "Spherical harmonics coefficients can be expressed in a different coordinate system very efficiently. Importantly, the power per degree spectrum is invariant under rotation. While the degree l controls the wavevector magnitude, it is the order m that defines the orientation of the spherical harmonics. We demonstrate this by rotating a zonal spherical harmonic (m=0) that is centered around the north-pole to the equator." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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MN/T0Ae1Y5i9SNRmP/oXa/axg7sUOHhJwe25N889mm7OfNavIAd4JsLHrEb4g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\nj2gBTxVG7fxkXTI2TjKSdT9aUi2QuLECKCH5iOzPlfVWcSA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TMmqHZOCO6bkdTjH9WBo0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\nB7S7J/cgV630Gz12xKc1PW7AapTa7WYJ9GBlN0cBJkA34OX7dhNW/48N6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nl = 200\n", "coeffs = np.zeros((2, nl, nl))\n", "coeffs[0, 5, 0] = 1.\n", "coeffs_l5m0 = SHCoeffs.from_array(coeffs)\n", "\n", "# Rotations are specified by the three Euler angles alpha, beta, and gamma.\n", "# There are several different convenctions for specifying these angles, \n", "# and they can either provide the angles for rotating the physical body\n", "# or coordinate system. Please read the documentation of this method\n", "# before proceeding!\n", "alpha = 0. # around z-axis\n", "beta = 90. # around x-axis (lon=0)\n", "gamma = 10. # around z-axis again\n", "\n", "coeffs_l5m0_rot = coeffs_l5m0.rotate(alpha, beta, gamma, degrees=True)\n", "fig, ax = coeffs_l5m0_rot.plot_powerperdegree(show=False)\n", "ax.set(ylim=(1e-1, 1e0))\n", "\n", "grid_l5m0_rot = coeffs_l5m0_rot.expand('DH2')\n", "grid_l5m0_rot.plot_rawdata()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Addition, multiplication, and subtraction\n", "\n", "Similar grids can be added, multiplied and subtracted using the standard python operators" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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06J029tNTLfC2Vh3ta9Pvtp228xfo5QM07TuDbSlfm6g0w9TamJ6f8/JIATIB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3YdtmtIFsqVjeqQaoeCMbH78sFGIy+YKEIn51bIITqMIZHaej8NEtbMhIXSI3NbsX4O7sS28+sw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xokMsRPksfIytuE/RJZnWZIiSHzeIyytb/elbr7iGUtm6ouCDz5UX1faL0rMX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\n3XFHs+GII0wHA9WxY+19771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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid_new = grid_l5m0_rot + grid_l5m2\n", "grid_new.plot_rawdata()\n", "\n", "coeffs = grid_new.expand()\n", "coeffs.plot_powerperdegree();" ] } ], "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }