71d5696d
 David Mayerich
First commit afte...
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# create a function that displays the output when run this way:
# python layerview.py ouput.dat
import sys
import os
from time import time
import subprocess
import struct
import numpy as np
import matplotlib
import math
import matplotlib.pyplot as plt
from mpl_toolkits.axes_grid1 import ImageGrid
def intensity(E):
Econj = np.conj(E)
I = np.sum(E*Econj, axis=-1)
return np.real(I)
#evaluate a solved homogeneous substrate
# Returns a complex NxMx3 array representing the cross section of the field at Y=0
def evaluate(Depths, k, d, n0, sz, Pt, Pr, X, Y, Z):
Depths = np.array(Depths)
sz = np.array(sz)
Pt = np.array(Pt)
Pr = np.array(Pr)
s = np.array(d) * n0
#allocate space for layer indices
LI = np.zeros(Z.shape, dtype=np.int)
#find the layer index for each sample point
L = len(Depths)
LI[Z < Depths[0]] = 0
for l in range(L-1):
idx = np.logical_and(Z > Depths[l], Z <= Depths[l+1])
LI[idx] = l
LI[Z > Depths[-1]] = L - 1
#calculate the appropriate phase shift for the wave transmitted through the layer
Ph_t = np.exp(1j * k * sz[LI] * (Z - Depths[LI]))
#calculate the appropriate phase shift for the wave reflected off of the layer boundary
LIp = LI + 1
LIp[LIp >= L] = 0
Ph_r = np.exp(-1j * k * sz[LI] * (Z - Depths[LIp]))
Ph_r[LI >= L-1] = 0
#calculate the phase shift based on the X and Y positions
Ph_xy = np.exp(1j * k * (s[0] * X + s[1] * Y))
#apply the phase shifts
Et = Pt[:, LI] * Ph_t[:, :]
Er = Pr[:, LI] * Ph_r[:, :]
#add everything together coherently
E = (Et + Er) * Ph_xy[:, :]
#return the electric field
return np.moveaxis(E, 0, -1)
class planewave:
def __int__(self):
self.LAYERS = 0 #Number of layers. int
self.depths = [] #z positions of layers. [1, 5, ..., 10] double
self.k0 = 0.0 #wavenumber at free space. double
self.d = [] #direction of propogation. [0.5, 0] double
self.n0 = 0.0+0.0j #the refractive index of the first layer. complex<double>
self.sz = [] #z-component of propagation for each layer. complex<double>
self.Pt = [[] for i in range(3)] #transmission complex<double>
self.Pr = [[],[],[]] #refraction complex<double>
# display a binary file produced using the coupled wave C code
def layer(strc):
f = open(strc, "rb")
# create an empty plane wave structure
L = planewave()
L.depths = []
L.d = []
L.sz = []
L.Pt = [[],[],[]]
L.Pr = [[],[],[]]
# open the input file for reading
file_bytes = os.path.getsize(strc)
# calculate the number of layers in the sample
L.LAYERS = int((file_bytes/8-5)/15)
# load the raw layer data into the plane wave structure
data_raw = struct.unpack('d' * (15*L.LAYERS+5), f.read((15*L.LAYERS+5)* 8))
data = np.asarray(data_raw)
L.k0 = data[0]
L.d.append(data[1])
L.d.append(data[2])
L.n0 = complex(data[3], data[4])
# load each layer's plane waves from the binary file
for i in range(L.LAYERS):
L.depths.append(data[5+15*i])
L.sz.append(complex(data[6+15*i], data[7+15*i]))
L.Pt[0].append(complex(data[8+15*i], data[9+15*i]))
L.Pt[1].append(complex(data[15*i+10], data[15*i+11]))
L.Pt[2].append(complex(data[15*i+12], data[15*i+13]))
L.Pr[0].append(complex(data[15*i+14], data[15*i+15]))
L.Pr[1].append(complex(data[15*i+16], data[15*i+17]))
L.Pr[2].append(complex(data[15*i+18], data[15*i+19]))
N = 512 # simulation resolution NxM
M = 1024
#DAVID: Don't hard-code the dimensions - you'll have to calculate them based on the sample information in the file
D = [-110, 110, 0, 60] # dimensions of the simulation
x = np.linspace(D[2], D[3], N) # set the sample points for the simulation
z = np.linspace(D[0], D[1], M)
[X, Z] = np.meshgrid(x, z) # create a mesh grid to evaluate layers
Y = np.zeros(X.shape)
# evaluate the field across all layers
E = evaluate(L.depths, L.k0, L.d, L.n0, L.sz, L.Pt, L.Pr, X, Y, Z)
Er = np.real(E)
I = intensity(E)
plt.set_cmap("afmhot") # set the color map
plt.subplot(1, 4, 1)
plt.imshow(Er[:, :, 0], extent=(D[3], D[2], D[1], D[0]))
#plt.colorbar()
plt.title("Ex")
plt.subplot(1, 4, 2)
plt.imshow(Er[:, :, 1], extent=(D[3], D[2], D[1], D[0]))
#plt.colorbar()
plt.title("Ey")
plt.subplot(1, 4, 3)
plt.imshow(Er[:, :, 2], extent=(D[3], D[2], D[1], D[0]))
#plt.colorbar()
plt.title("Ez")
plt.subplot(1, 4, 4)
plt.imshow(I, extent=(D[3], D[2], D[1], D[0]))
plt.colorbar()
plt.title("I")
#fig = plt.figure(1, (5, 10))
#plt.set_cmap("afmhot")
#matplotlib.rcParams.update({'font.size': 10})
#grid = ImageGrid(fig, rect = 211, nrows_ncols = (1, 3), axes_pad = 0.2, label_mode = "1", cbar_mode = "single", cbar_size = "18%")
#Title = ["Ex", "Ey", "Ez"]
#for i in range(3):
# grid[i].axis('off')
# im = grid[i].imshow(Er[..., i], extent=(D[3], D[2], D[1], D[0]), interpolation="nearest")
# grid[i].set_title(Title[i])
#grid.cbar_axes[0].colorbar(im)
#plt.title("E")
#plt.subplot(212)
#plt.imshow(I, extent=(D[3], D[2], D[1], D[0]))
#plt.title("I")
#plt.colorbar()
plt.show()
# function displays usage text to the console
def usage():
print("Usage:")
print(" layerview input.dat")
if __name__ == '__main__':
start = time()
if len(sys.argv) < 2: # if there are no command line arguments
usage() # display the usage text
exit() # exit
else:
layer(sys.argv[1]) # otherwise display the given data file
end = time()
print("The elapsed time is " + str(end - start) + " s. ")
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