mirror of
https://github.com/wassname/simpeg.git
synced 2026-06-28 19:33:28 +08:00
421 lines
218 KiB
Plaintext
421 lines
218 KiB
Plaintext
{
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"metadata": {
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"name": "",
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"signature": "sha256:c452407beb91d84a9a33b8a2b4ff3e4e90790c0049f22c5a9936f7462c1e2c5b"
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},
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"nbformat": 3,
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"nbformat_minor": 0,
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"worksheets": [
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{
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"cells": [
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"from SimPEG import *\n",
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"import simpegDC as DC\n",
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"from pymatsolver import MumpsSolver\n",
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"%pylab inline"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"output_type": "stream",
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"stream": "stdout",
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"text": [
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"Populating the interactive namespace from numpy and matplotlib\n"
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]
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}
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],
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"prompt_number": 27
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"cs = 25.\n",
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"hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]\n",
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"hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]\n",
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"hz = [(cs,7, -1.3),(cs,20)]"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 28
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN')"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 29
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"\n",
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"blk1 = Utils.ModelBuilder.getIndecesBlock(np.r_[-50, 75, -50], np.r_[75, -50, -150], mesh.gridCC)\n",
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"sighalf = 1e-3\n",
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"sigma = np.ones(mesh.nC)*sighalf\n",
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"sigma[blk1] = 1e-1\n",
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"sigmahomo = np.ones(mesh.nC)*sighalf"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 30
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"mesh.plotSlice(sigma, normal='X', grid=True)"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"metadata": {},
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"output_type": "pyout",
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"prompt_number": 31,
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"text": [
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"(<matplotlib.collections.QuadMesh at 0x4c23d10>,\n",
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" <matplotlib.lines.Line2D at 0x70dc450>)"
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]
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},
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{
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"metadata": {},
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"output_type": "display_data",
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"png": 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"text": [
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"<matplotlib.figure.Figure at 0x490c1d0>"
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]
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}
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],
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"prompt_number": 31
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"xtemp = np.linspace(-150, 150, 21)\n",
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"ytemp = np.linspace(-150, 150, 21)\n",
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"xyz_rxP = Utils.ndgrid(xtemp-10., ytemp, np.r_[0.])\n",
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"xyz_rxN = Utils.ndgrid(xtemp+10., ytemp, np.r_[0.])\n",
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"xyz_rxM = Utils.ndgrid(xtemp, ytemp, np.r_[0.])"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 32
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"fig, ax = plt.subplots(1,1, figsize = (5,5))\n",
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"mesh.plotSlice(sigma, grid=True, ax = ax)\n",
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"ax.plot(xyz_rxP[:,0],xyz_rxP[:,1], 'w.')\n",
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"ax.plot(xyz_rxN[:,0],xyz_rxN[:,1], 'r.', ms = 3)"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
|
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{
|
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"metadata": {},
|
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"output_type": "pyout",
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"prompt_number": 33,
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"text": [
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"[<matplotlib.lines.Line2D at 0x6153210>]"
|
|
]
|
|
},
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
|
"png": "iVBORw0KGgoAAAANSUhEUgAAAVIAAAFRCAYAAAAmQSVBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngiikABBEIQWAoP8Phk4K25ESlbsAAAAASUVORK5CYII=\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x61532d0>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 33
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"rx = DC.DipoleRx(xyz_rxP, xyz_rxN)\n",
|
|
"tx = DC.DipoleSrc([-200, 0, -12.5],[+200, 0, -12.5], [rx])"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 34
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"survey = DC.SurveyDC([tx])\n",
|
|
"problem = DC.ProblemDC(mesh)\n",
|
|
"problem.pair(survey)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 35
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"# problem.Solver = SolverWrapD(EMUtils.Solver.Mumps)\n",
|
|
"problem.Solver = MumpsSolver"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 36
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"data = survey.dpred(sigmahomo)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 37
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"u1 = problem.fields(sigma)\n",
|
|
"u2 = problem.fields(sigmahomo)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 38
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"Msig1 = Utils.sdiag(1./(mesh.aveF2CC.T*(1./sigma)))\n",
|
|
"Msig2 = Utils.sdiag(1./(mesh.aveF2CC.T*(1./sigmahomo)))"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 39
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"j1 = Msig1*mesh.cellGrad*u1\n",
|
|
"j2 = Msig2*mesh.cellGrad*u2"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 40
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"us = u1-u2\n",
|
|
"js = j1-j2"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 41
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"mesh.plotSlice(mesh.aveF2CCV*j1, vType='CCv', normal='Y', view='vec', streamOpts={\"density\":3, \"color\":'w'})\n",
|
|
"xlim(-300, 300)\n",
|
|
"ylim(-300, 0)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 42,
|
|
"text": [
|
|
"(-300, 0)"
|
|
]
|
|
},
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
|
"png": 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WhWvyqlOnOBcudKNLl1L4+gYwbtxpkpN1rEebg6OjCdu3V2X+fFc+/vg+Q4aE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\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x4c34490>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 42
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"mesh.plotSlice(mesh.aveF2CCV*js, vType='CCv', normal='Y', view='vec', streamOpts={\"density\":3, \"color\":'w'})\n",
|
|
"xlim(-300, 300)\n",
|
|
"ylim(-300, 0)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 43,
|
|
"text": [
|
|
"(-300, 0)"
|
|
]
|
|
},
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
|
"png": 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imz9pbmMj4OmpwtNTjaenL15e4OkJtrZwxx0QEACJiVKE8/nzUrl0CWpq2p2k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\nrkJggg==\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x61604d0>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 43
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"a = np.random.randn(3)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 44
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"print (a.reshape([1,-1])).repeat(3, axis = 0)\n",
|
|
"print (a.reshape([1,-1])).repeat(3, axis = 0).sum(axis=1)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"[[-0.12692184 2.0157894 0.463918 ]\n",
|
|
" [-0.12692184 2.0157894 0.463918 ]\n",
|
|
" [-0.12692184 2.0157894 0.463918 ]]\n",
|
|
"[ 2.35278557 2.35278557 2.35278557]\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 45
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"def DChalf(txlocP, txlocN, rxloc, sigma, I=1.):\n",
|
|
" rp = (txlocP.reshape([1,-1])).repeat(rxloc.shape[0], axis = 0)\n",
|
|
" rn = (txlocN.reshape([1,-1])).repeat(rxloc.shape[0], axis = 0)\n",
|
|
" rP = np.sqrt(((rxloc-rp)**2).sum(axis=1))\n",
|
|
" rN = np.sqrt(((rxloc-rn)**2).sum(axis=1))\n",
|
|
" return I/(sigma*2.*np.pi)*(1/rP-1/rN)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 46
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"data_analP = DChalf(np.r_[-200, 0, 0.],np.r_[+200, 0, 0.], xyz_rxP, sighalf)\n",
|
|
"data_analN = DChalf(np.r_[-200, 0, 0.],np.r_[+200, 0, 0.], xyz_rxN, sighalf)\n",
|
|
"data_anal = data_analP-data_analN"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 47
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"Data_anal = data_anal.reshape((21, 21), order = 'F')\n",
|
|
"Data = data.reshape((21, 21), order = 'F')\n",
|
|
"X = xyz_rxM[:,0].reshape((21, 21), order = 'F')\n",
|
|
"Y = xyz_rxM[:,1].reshape((21, 21), order = 'F')"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 48
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"fig, ax = plt.subplots(1,2, figsize = (12, 5))\n",
|
|
"vmin = np.r_[data, data_anal].min()\n",
|
|
"vmax = np.r_[data, data_anal].max()\n",
|
|
"dat0 = ax[0].contourf(X, Y, Data, 60, vmin = vmin, vmax = vmax)\n",
|
|
"dat1 = ax[1].contourf(X, Y, Data_anal, 60, vmin = vmin, vmax = vmax)\n",
|
|
"cb0 = plt.colorbar(dat1, orientation = 'horizontal', ax = ax[0])\n",
|
|
"cb1 = plt.colorbar(dat1, orientation = 'horizontal', ax = ax[1])"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
|
"png": 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I7y4GRqNtT8LaOIYpL9pkopdspAF7VLqV3mFL0zCl5Tnjo7mMMBMSD5d7r+/7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\nGac8J78G4EtF5FMA7gTwbz32jVmOOwF8CwCIyA0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|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x62ce710>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 49
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 49
|
|
}
|
|
],
|
|
"metadata": {}
|
|
}
|
|
]
|
|
} |