def indicator_func(mpb, eps_slab, eps_air, type, TOL=1e-3):
# type air_slab_bdry, slab_only, air_hole_slab_bdry
epsilon = readfield(mpb, field_type='epsilon_isotropic_trace')
if type == 'slab_only':
indicator_slab = np.zeros(epsilon.dset.shape)
mask_slab = abs(epsilon.dset[:] - eps_slab) <= TOL
indicator_slab[mask_slab] = 1
indicator = indicator_slab
elif type == 'air_slab_bdry':
indicator_air_slab_bdry = np.zeros(epsilon.dset.shape)
# still keeps the slab-hole boundary
mask_air_slab_bdry = np.logical_not(np.logical_or(abs(epsilon.dset[:]- eps_air) <= TOL, \
abs(epsilon.dset[:]- eps_slab) <= TOL))
indicator_air_slab_bdry[mask_slab_hole_bdry] = 1
indicator = indicator_air_slab_bdry
elif type == 'air_hole_slab_bdry':
indicator_air_hole_slab_bdry = np.zeros(epsilon.dset.shape)
# still keeps the slab-hole boundary
mask_air_hole_slab_bdry = np.logical_not(np.logical_or(abs(epsilon.dset[:]- eps_air) <= TOL, \
abs(epsilon.dset[:]- eps_slab) <= TOL))
# loop over the z dimension and weed out slab-supercell boundary by looking
# at mean epsilon in the xy cross section
for k in range(epsilon.dset.shape[2]):
# 0.5*(eps_air + eps_slab) is a reasonable estimate.
if np.mean(epsilon.dset[:,:,k]) < 0.5*(eps_air + eps_slab):
mask_air_hole_slab_bdry[:,:,k] = 0
indicator_air_hole_slab_bdry[mask_slab_hole_bdry] = 1
indicator = indicator_air_hole_slab_bdry
# FOR DEBUGGING
# plt.figure()
# plt.imshow(indicator_slab_hole_bdry[:,:, int(epsilon.dset.shape[2]/2)])
# plt.colorbar()
# plt.show()
else:
print('Invalid type entereted. Valid options are')
epsilon.close()
return None
epsilon.close()
return indicator
def indicator_func(mpb, eps_slab, eps_air, type, TOL=1e-3):
# type air_slab_bdry, slab_only, air_hole_slab_bdry
epsilon = readfield(mpb, field_type='epsilon_isotropic_trace')
if type == 'slab_only':
indicator_slab = np.zeros(epsilon.dset.shape)
mask_slab = abs(epsilon.dset[:] - eps_slab) <= TOL
indicator_slab[mask_slab] = 1
indicator = indicator_slab
elif type == 'air_slab_bdry':
indicator_air_slab_bdry = np.zeros(epsilon.dset.shape)
# still keeps the slab-hole boundary
mask_air_slab_bdry = np.logical_not(np.logical_or(abs(epsilon.dset[:]- eps_air) <= TOL, \
abs(epsilon.dset[:]- eps_slab) <= TOL))
indicator_air_slab_bdry[mask_slab_hole_bdry] = 1
indicator = indicator_air_slab_bdry
elif type == 'air_hole_slab_bdry':
indicator_air_hole_slab_bdry = np.zeros(epsilon.dset.shape)
# still keeps the slab-hole boundary
mask_air_hole_slab_bdry = np.logical_not(np.logical_or(abs(epsilon.dset[:]- eps_air) <= TOL, \
abs(epsilon.dset[:]- eps_slab) <= TOL))
# loop over the z dimension and weed out slab-supercell boundary by looking
# at mean epsilon in the xy cross section
for k in range(epsilon.dset.shape[2]):
# 0.5*(eps_air + eps_slab) is a reasonable estimate.
if np.mean(epsilon.dset[:, :, k]) < 0.5 * (eps_air + eps_slab):
mask_air_hole_slab_bdry[:, :, k] = 0
indicator_air_hole_slab_bdry[mask_slab_hole_bdry] = 1
indicator = indicator_air_hole_slab_bdry
# FOR DEBUGGING
# plt.figure()
# plt.imshow(indicator_slab_hole_bdry[:,:, int(epsilon.dset.shape[2]/2)])
# plt.colorbar()
# plt.show()
else:
print('Invalid type entereted. Valid options are')
epsilon.close()
return None
epsilon.close()
return indicator
def plotfields(mpb, field_type, kindex=None, band=None, comp=None, mpbpostprocess=False,
epsilon_contour_options={}, figsize=None, field_file=None, epsilon_file=None, plot_options={}):
"""
Plots fields
Inputs
------
mpbpostprocess : False (default), assumes no post processing of the fields
has been performed using mpb-data
field_type : 'e', 'epsilon', 'epsilon-ft'
plot_options : specifies extra plot options such as axes limits
"""
if figsize is not None:
plt.figure(figsize=figsize)
else:
plt.figure()
if epsilon_file is None:
epsilon = readfield(mpb, field_type='epsilon_isotropic_trace', mpbpostprocess=mpbpostprocess)
elif isinstance(epsilon_file, str):
epsilon = readfield(mpb, field_type='epsilon_isotropic_trace', mpbpostprocess=mpbpostprocess, field_file=epsilon_file)
if field_type == 'e':
if field_file is None:
E = readfield(mpb, kindex, band, field_type, mpbpostprocess=mpbpostprocess)
elif isinstance(field_file, str):
E = readfield(mpb, kindex, band, field_type, mpbpostprocess=mpbpostprocess, field_file=field_file)
E.create_complex()
if comp is None:
E2 = np.abs(E.x)**2 + np.abs(E.y)**2 + np.abs(E.z)**2
if E2.ndim == 1:
# (x) = getscale(mpb)
# (xgrid, ygrid) = np.meshgrid(x, x)
# creates a E2.ndim x E2.ndim square grid
E2grid = np.tile(E2, (E2.shape[0], 1))
epsilon_grid = np.tile(epsilon.dset, (epsilon.dset.shape[0], 1))
# plt.contourf(xgrid, ygrid, E2grid)
# plt.pcolormesh(E2grid)
plt.imshow(E2grid)
plt.colorbar()
# plt.contour(xgrid, ygrid, epsilon_grid, colors='k', linewidths=lw)
plt.contour(epsilon_grid, colors='w', **epsilon_contour_options)
ax = plt.gca()
ax.set_xticks(())
ax.set_yticks(())
plt.xlim(0, E2grid.shape[0]-1)
plt.ylim(0, E2grid.shape[1]-1)
elif E2.ndim == 2:
# (x, y) = getscale(mpb)
# (xgrid, ygrid) = np.meshgrid(x, y)
# plt.contourf(xgrid, ygrid, E2)
# plt.pcolormesh(E2)
plt.imshow(E2)
plt.colorbar()
# plt.contour(xgrid, ygrid, epsilon.dset, colors='k', linewidths=lw)
plt.contour(epsilon.dset, colors='w', **epsilon_contour_options)
ax = plt.gca()
ax.set_xticks(())
ax.set_yticks(())
# Determine which grid is on the axis. If Ny > Nx, the yindices
# are placed on the x-axis
if E2.shape[0] >= E2.shape[1]:
plt.xlim(0, E2.shape[0]-1)
plt.ylim(0, E2.shape[1]-1)
else:
plt.xlim(0, E2.shape[1]-1)
plt.ylim(0, E2.shape[0]-1)
elif E2.ndim == 3:
# ASSUME SLAB GEOMETRY
# xy cross section
plt.imshow(E2[:, :, E2.shape[2]/2], aspect='equal')
plt.colorbar()
plt.contour(epsilon.dset[:, :, epsilon.dset.shape[2]/2], colors='w', **epsilon_contour_options)
ax = plt.gca()
ax.set_xticks(())
ax.set_yticks(())
# Determine which grid is on the axis. If Ny > Nx, the yindices
# are placed on the x-axis
if E2.shape[0] >= E2.shape[1]:
plt.xlim(0, E2.shape[0]-1)
plt.ylim(0, E2.shape[1]-1)
else:
plt.xlim(0, E2.shape[1]-1)
plt.ylim(0, E2.shape[0]-1)
elif field_type == 'epsilon':
if len(epsilon.dset.shape) == 1:
epsilon_grid = np.tile(epsilon.dset, (epsilon.dset.shape[0], 1))
# epsilon_grid_ft = fftshift(fft2(epsilon_grid))
(x) = getscale(mpb)
(xgrid, ygrid) = np.meshgrid(x, x)
# plt.pcolormesh(xgrid, ygrid, epsilon_grid, cmap='Greys')
plt.imshow(epsilon_grid, cmap='Greys')
plt.colorbar()
ax = plt.gca()
ax.set_xticks(())
ax.set_yticks(())
plt.xlim(0, epsilon_grid.shape[0]-1)
plt.ylim(0, epsilon_grid.shape[1]-1)
# plt.figure()
# plt.imshow(np.abs(epsilon_grid_ft)**2)
# plt.colorbar()
elif len(epsilon.dset.shape) == 2:
# Greys or gray
# plt.pcolor(epsilon.dset, cmap='Greys')
# filter out DC_component
# epsilon_ft[np.unravel_index(np.argmax(epsilon_ft), np.shape(epsilon_ft))] = 0
plt.imshow(epsilon.dset, cmap='Greys')
plt.colorbar()
plt.xlim(0, epsilon.dset.shape[0]-1)
plt.ylim(0, epsilon.dset.shape[1]-1)
ax = plt.gca()
ax.set_xticks(())
ax.set_yticks(())
elif len(epsilon.dset.shape) == 3:
# ASSUME PC SLAB GEOMETRY ONLY
# plot in middle of slab
# xy cross section
# plt.imshow(epsilon.dset[:, :, epsilon.dset.shape[2]/2], cmap='Greys', aspect='equal')
# yz cross section
# plt.imshow(epsilon.dset[epsilon.dset.shape[0]/2, :, :], cmap='Greys', aspect='equal')
plt.imshow(epsilon.dset[0, :, :], cmap='Greys', aspect='equal')
plt.colorbar()
# plt.xlim(0, epsilon.dset.shape[0]-1)
# plt.ylim(0, epsilon.dset.shape[1]-1)
ax = plt.gca()
ax.set_xticks(())
ax.set_yticks(())
elif field_type == 'epsilon-ft':
if len(epsilon.dset.shape) == 1:
pass
elif len(epsilon.dset.shape) == 2:
# zero pad
epsilon_ft = fftshift(fft2(np.pad(epsilon.dset[:,:], (512, 512), 'constant')))
plt.imshow((np.abs(epsilon_ft)/np.max(np.abs(epsilon_ft)))**2, cmap='Greys', vmin=0, vmax=0.1)
ax = plt.gca()
ax.set_xticks(())
ax.set_yticks(())
elif len(epsilon.dset.shape) == 3:
pass
ax = plt.gca()
ax.set_xticks(())
ax.set_yticks(())
if 'xlims' in plot_options:
xa = plot_options['xlims'][0]
xb = plot_options['xlims'][1]
plt.xlim(xa, xb)
if 'ylims' in plot_options:
ya = plot_options['ylims'][0]
yb = plot_options['ylims'][1]
plt.ylim(ya, yb)
epsilon.close()
from MPBParser import MPBBandStructure, readfield, getscale
import numpy as np
import matplotlib.pyplot as plt
import scipy.integrate as spintegrate
from indicator import indicator_func
mpb = MPBBandStructure('/home/nishan/Code/thales/MPB/w14/nonbloch/w14.out', symm='zeven')
# mpb.csvparser()
mpb.readbanddata()
#E_nonbloch = readfield(mpbobj=mpb, field_type='e.nonbloch.v', kindex=3, band=16)
E_nonbloch = readfield(field_file='/home/nishan/Code/thales/MPB/w14/nonbloch/e.nonbloch.v.k10.b16.zeven.h5', field_type='e.nonbloch.v')
E_nonbloch.create_complex()
# (x, dx, y, dy, z, dz) = getscale(mpb, retstep=True)
ind = indicator_func(mpb, 10.0489, 1.0, 'slab_only')
# for DEBUGGING
# plt.figure()
# plt.imshow(ind[:,:, 50])
# plt.colorbar()
# plt.show()
def nlo_coeffs(efield, indicator, ccnl):
"""
Returns the nonlinear coupling coeffs after integration
efield is assumed to be nonbloch
"""
(x, y, z) = getscale(mpb)
# (x, dx, y, dy, z, dz) = getscale(mpb, retstep=True)