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SWS - interactive.py
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SWS - interactive.py
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# -*- coding: utf-8 -*-
"""
Drawing Stokes vectors in the Poincare sphere
"""
import numpy as np
from numpy import linspace, outer, cos, sin, size, zeros_like, ones, mean
import matplotlib.pyplot as plt
from matplotlib.widgets import Slider, Button, RadioButtons
from py_pol import degrees
from py_pol.stokes import Stokes
from py_pol.mueller import Mueller
#from py_pol.drawings import draw_poincare_sphere, draw_on_poincare
from py_pol.drawings import draw_on_poincare
def set_aspect_equal_3d(ax):
"""Fix equal aspect bug for 3D plots."""
xlim = (-1, 1)
ylim = (-1, 1)
zlim = (-1, 1)
xmean = mean(xlim)
ymean = mean(ylim)
zmean = mean(zlim)
plot_radius = max([
abs(lim - mean_)
for lims, mean_ in ((xlim, xmean), (ylim, ymean), (zlim, zmean))
for lim in lims
])
factor = 1
ax.set_xlim3d([xmean - factor * plot_radius, xmean + factor * plot_radius])
ax.set_ylim3d([ymean - factor * plot_radius, ymean + factor * plot_radius])
ax.set_zlim3d([zmean - 1 * plot_radius, zmean + 1 * plot_radius])
def draw_poincare_sphere(ax,
stokes_points=None,
angle_view=[0.5, -1],
is_normalized=True,
kind='line',
color='r',
label='',
filename=''):
"""Function to draw the poincare sphere.
It admits Stokes or a list with Stokes, or None
Parameters:
stokes_points (Stokes, list, None): list of Stokes points.
angle_view (float, float): Elevation and azimuth for viewing.
is_normalized (bool): normalize intensity to 1.
kind (str): 'line' or 'scatter'.
color (str): color of line or scatter.
label (str): labels for drawing.
filename (str): name of filename to save the figure.
"""
elev, azim = angle_view
max_size = 1
#fig = plt.figure(figsize=(6, 6))
#ax = fig.add_subplot(111, projection='3d', adjustable='box')
# ax.set_aspect('equal')
u = linspace(0, 360 * degrees, 90)
v = linspace(0, 180 * degrees, 90)
x = 1 * outer(cos(u), sin(v))
y = 1 * outer(sin(u), sin(v))
z = 1 * outer(ones(size(u)), cos(v))
ax.plot_surface(
x,
y,
z,
rstride=4,
cstride=4,
color='b',
edgecolor="k",
linewidth=.0,
alpha=0.1)
ax.plot(sin(u), cos(u), 0, color='k', linestyle='dashed', linewidth=0.5)
ax.plot(
sin(u),
zeros_like(u),
cos(u),
color='k',
linestyle='dashed',
linewidth=0.5)
ax.plot(
zeros_like(u),
sin(u),
cos(u),
color='k',
linestyle='dashed',
linewidth=0.5)
ax.plot([-1, 1], [0, 0], [0, 0], 'k-.', lw=1, alpha=0.5)
ax.plot([0, 0], [-1, 1], [0, 0], 'k-.', lw=1, alpha=0.5)
ax.plot([0, 0], [0, 0], [-1, 1], 'k-.', lw=1, alpha=0.5)
ax.plot(
xs=(1, ),
ys=(0, ),
zs=(0, ),
color='black',
marker='o',
markersize=4,
alpha=0.5)
ax.plot(
xs=(-1, ),
ys=(0, ),
zs=(0, ),
color='black',
marker='o',
markersize=4,
alpha=0.5)
ax.plot(
xs=(0, ),
ys=(1, ),
zs=(0, ),
color='black',
marker='o',
markersize=4,
alpha=0.5)
ax.plot(
xs=(0, ),
ys=(-1, ),
zs=(0, ),
color='black',
marker='o',
markersize=4,
alpha=0.5)
ax.plot(
xs=(0, ),
ys=(0, ),
zs=(1, ),
color='black',
marker='o',
markersize=4,
alpha=0.5)
ax.plot(
xs=(0, ),
ys=(0, ),
zs=(-1, ),
color='black',
marker='o',
markersize=4,
alpha=0.5)
distance = 1.2
ax.text(distance, 0, 0, 'Q', fontsize=18)
ax.text(0, distance, 0, 'U', fontsize=18)
ax.text(0, 0, distance, 'V', fontsize=18)
if stokes_points is not None:
draw_on_poincare(
ax,
stokes_points,
is_normalized=is_normalized,
kind=kind,
color=color,
label=label)
ax.view_init(elev=elev / degrees, azim=azim / degrees)
ax.set_xlabel('$S_1$', fontsize=22)
ax.set_ylabel('$S_2$', fontsize=22)
ax.set_zlabel('$S_3$', fontsize=22)
ax.grid(False)
ax.set_xticklabels([])
ax.set_yticklabels([])
ax.set_zticklabels([])
ax.set_xlim(-max_size, max_size)
ax.set_ylim(-max_size, max_size)
ax.set_zlim(-max_size, max_size)
plt.tight_layout()
set_aspect_equal_3d(ax)
if filename not in (None, [], ''):
plt.savefig(filename)
#return ax, fig
#################### Stokes definitions
V=Stokes('V')
V.from_elements(1, -1, 0, 0)
H=Stokes('H')
H.linear_light(angle=0, intensity=1)
wavelength_center = 1550 # nm
wavelength = np.arange(1510, 1631, 20) #nm
alfa = wavelength_center*np.pi/(wavelength)
alfa_1510 = wavelength_center*np.pi/(1510)
alfa_1550 = wavelength_center*np.pi/(1550)
alfa_1630 = wavelength_center*np.pi/(1630)
angles = np.linspace(0, 180 * degrees, 90)
HWP = Mueller("HWP")
HWP.half_waveplate(np.pi/4)
HWP1 = Mueller("HWP")
HWP1.retarder_linear(alfa_1510, np.pi/4)
HWP2 = Mueller("HWP")
HWP2.retarder_linear(alfa_1550, np.pi/4)
HWP3 = Mueller("HWP")
HWP3.retarder_linear(alfa_1630, np.pi/4)
HWP45 = Mueller("HWP")
HWP45.half_waveplate(np.pi/8)
HWP451 = Mueller("HWP")
HWP451.retarder_linear(alfa_1510, np.pi/8)
HWP452 = Mueller("HWP")
HWP452.retarder_linear(alfa_1550, np.pi/8)
HWP453 = Mueller("HWP")
HWP453.retarder_linear(alfa_1630, np.pi/8)
QWP = Mueller("QWP")
QWP.quarter_waveplate(np.pi/4)
QWP1 = Mueller("QWP")
QWP1.retarder_linear(alfa_1510/2, np.pi/4)
QWP2 = Mueller("QWP")
QWP2.retarder_linear(alfa_1550/2, np.pi/4)
QWP3 = Mueller("QWP")
QWP3.retarder_linear(alfa_1630/2, np.pi/4)
MVac = Mueller('Vacuum')
MVac.vacuum()
def sim(retardance, angle_rotation, pdl, angle_artifact):
######## Variables
retardance = retardance*np.pi
angle_rotation = angle_rotation*np.pi
angle_artifact = angle_artifact*np.pi
MA = Mueller('Arbitrary')
MA.retarder_linear(retardance, angle_rotation)
MD = Mueller('Diattenuator')
MD.diattenuator_linear(1, np.sqrt(10**(-pdl/10)), angle=angle_artifact)
M = MD*MA
###################################################################
#H1 = M*HWP1*V
H2 = M*HWP2*V
#H3 = M*HWP3*V
#D1 = M*HWP451*V
D2 = M*HWP452*V
#D3 = M*HWP453*V
#L1 = M*QWP1*V
L2 = M*QWP2*V
#L3 = M*QWP3*V
TH = []
TL = []
TD = []
H_points = []
L_points = []
D_points = []
for a in alfa:
HWP = Mueller("HWP")
HWP.retarder_linear(a, np.pi/4)
HWP45 = Mueller("HWP")
HWP45.retarder_linear(a, np.pi/8)
QWP = Mueller("HWP")
QWP.retarder_linear(a/2, np.pi/4)
H_a = HWP*V
H_a = M*H_a
L_a = QWP*V
L_a = M*L_a
D_a = HWP45*V
D_a = M*D_a
H_points.append(H_a)
L_points.append(L_a)
D_points.append(D_a)
th = H_a.parameters.intensity()
tl = L_a.parameters.intensity()
td = D_a.parameters.intensity()
TH.append(th)
TL.append(tl)
TD.append(td)
H_points.append(H_a)
L_points.append(L_a)
D_points.append(D_a)
TV = (M*V).parameters.intensity()
TH = np.array(TH)
TL = np.array(TL)
TD = np.array(TD)
beta = np.cos(wavelength_center*np.pi/(2.0*wavelength)) # wavelength first correction factor
miu = np.sin(wavelength_center*np.pi/wavelength) # wavelength second correction factor
m00 = ((1 + beta*miu)*TV - miu*TL + TH)/(2.0 - (1 - beta)*miu)
m01 = ((1 - miu)*TV + miu*TL - TH)/(2.0 - (1 - beta)*miu)
m03 = (2*TL - (1 + beta)*TV - (1 - beta)*TH)/(2.0 - miu*(1 - beta))
m02 = TD - m00 - (miu/np.sqrt(2.0))*m03
delta = np.sqrt(m01*m01 + m02*m02 + m03*m03)
ILMin = 10*np.log10(m00 - delta)
ILMax = 10*np.log10(m00 + delta)
ILAVE = 10*np.log10(m00)
PDL = 10*np.log10((m00 + delta)/(m00 - delta))
ILAVE_Theo = 10*np.log10(M.parameters.mean_transmission())
ILAVE_simple = 10*np.log10((TV + TH)/2)
c = np.cos(wavelength_center*np.pi/(wavelength))
s = np.sin(wavelength_center*np.pi/(wavelength))
ILAVE_corrected2 = 10*np.log10((TH - TV*(c+s))/(1-c-s))
return TL, TV, TH, TD, ILAVE_Theo, ILMax, ILMin, ILAVE, ILAVE_simple, \
ILAVE_corrected2, H2, L2, D2, H_points, L_points, D_points, PDL, M
###################################################################
fig = plt.figure(figsize=(16,10))
retardance = 0*np.pi
angle_rotation = 0*np.pi
pdl = 0.1 # dB
angle_artifact = 0*np.pi
results = sim(retardance, angle_rotation, pdl, angle_artifact)
TL, TV, TH, TD, ILAVE_Theo, ILMax, ILMin, ILAVE, ILAVE_simple, ILAVE_corrected2, H2, L2, D2, H_points, L_points, D_points, PDL, M = results
ax1 = plt.subplot(231)
tlp, = plt.plot(wavelength, 10*np.log10(TL), label='S1 - L')
tvp, = plt.plot(wavelength, 10*np.log10(TV*np.ones(wavelength.size)), label='S2 - V')
thp, = plt.plot(wavelength, 10*np.log10(TH), label='S3 - H')
tdp, = plt.plot(wavelength, 10*np.log10(TD), label='S4 - D')
ILAVE_Theop1 = plt.axhline(ILAVE_Theo, ls='--', color='k')
plt.xlabel('Wavelength (nm)')
plt.ylabel('IL (dB)')
plt.legend(fontsize=8)
ax2 = plt.subplot(232)
ILMaxp, = plt.plot(wavelength, ILMax, label='ILMax')
ILMinp, = plt.plot(wavelength, ILMin, label='ILMin')
ILAVEp, = plt.plot(wavelength, ILAVE, label='ILAVE')
ILAVE_Theop2 = plt.axhline(ILAVE_Theo, ls='--', color='k')
plt.xlabel('Wavelength (nm)')
plt.ylabel('IL (dB)')
plt.legend(fontsize=8)
ax3 = plt.subplot(233)
ILAVEp2, = plt.plot(wavelength, ILAVE, '--', label='ILAVE Corrected S1S2S3 ')
ILAVE_simplep, = plt.plot(wavelength, ILAVE_simple, '--', label='Simple ILAVE S2S3')
ILAVE_corrected2p, = plt.plot(wavelength, ILAVE_corrected2, '--', label='ILAVE Corrected S2S3')
ILAVE_Theop3 = plt.axhline(ILAVE_Theo, ls='--', color='k')
plt.xlabel('Wavelength (nm)')
plt.ylabel('IL (dB)')
plt.legend(fontsize=8)
ax4 = fig.add_subplot(234, projection='3d', adjustable='box')
#ax, fig = draw_poincare_sphere(stokes_points=None)
draw_poincare_sphere(ax4, stokes_points=None)
draw_on_poincare(ax4,M*V, kind='scatter', color='DarkRed', label='V', is_normalized=False)
draw_on_poincare(ax4,H2, kind='scatter', color='g', label='H', is_normalized=False)
draw_on_poincare(ax4,L2, kind='scatter', color='b', label='L', is_normalized=False)
draw_on_poincare(ax4,D2, kind='scatter', color='y', label='D', is_normalized=False)
#draw_on_poincare(ax,[M*V, H_points[-1]], kind='line', color='DarkRed', label='', is_normalized=False)
#draw_on_poincare(ax,[M*V, H_points[0]], kind='line', color='DarkRed', label='', is_normalized=False)
draw_on_poincare(ax4,H_points, kind='line', color='g', label='H variation', is_normalized=False)
draw_on_poincare(ax4,L_points, kind='line', color='b', label='L variation', is_normalized=False)
draw_on_poincare(ax4,D_points, kind='line', color='y', label='D variation', is_normalized=False)
plt.legend(fontsize=8)
plt.tight_layout()
ax5 = plt.subplot(235)
ILAVE_errorp, = plt.plot(wavelength, ILAVE_Theo-ILAVE, '--', label='ILAVE Corrected S1S2S3 ')
ILAVE_simple_errorp, = plt.plot(wavelength, ILAVE_Theo-ILAVE_simple, '--', label='Simple ILAVE S2S3')
ILAVE_corrected2_errorp, = plt.plot(wavelength, ILAVE_Theo-ILAVE_corrected2, '--', label='ILAVE Corrected S2S3')
plt.axhline(0, ls='--', color='k')
plt.xlabel('Wavelength (nm)')
plt.ylabel('IL Error (dB)')
plt.legend(fontsize=8)
ax6 = plt.subplot(236)
PDLp, = plt.plot(wavelength, PDL, label='PDL')
pdlp = plt.axhline(pdl, ls='--', color='k')
plt.xlabel('Wavelength (nm)')
plt.ylabel('PDL (dB)')
plt.legend(fontsize=8)
plt.tight_layout()
#plt.subplot(234)
plt.subplots_adjust(bottom=0.28)
axcolor = 'lightgoldenrodyellow'
axretardance = plt.axes([0.25, 0.05, 0.65, 0.01], facecolor=axcolor)
axangle_rotation = plt.axes([0.25, 0.10, 0.65, 0.01], facecolor=axcolor)
axpdl = plt.axes([0.25, 0.15, 0.65, 0.01], facecolor=axcolor)
axangle_artifact = plt.axes([0.25, 0.20, 0.65, 0.01], facecolor=axcolor)
sretardance = Slider(axretardance, r'Retardance /$\pi$', 0, 2, valinit=retardance, valstep=0.05)
sangle_rotation = Slider(axangle_rotation, r'Angle /$\pi$', 0, 2, valinit=angle_rotation, valstep=0.05)
spdl = Slider(axpdl, 'DUT PDL /dB', 0, 5, valinit=pdl, valstep=0.1)
sangle_artifact = Slider(axangle_artifact, r'DUT Angle /$\pi$', 0, 2, valinit=angle_artifact, valstep=0.05)
def update(val):
retardance = sretardance.val
angle_rotation = sangle_rotation.val
pdl = spdl.val
angle_artifact = sangle_artifact.val
results = sim(retardance, angle_rotation, pdl, angle_artifact)
TL, TV, TH, TD, ILAVE_Theo, ILMax, ILMin, ILAVE, ILAVE_simple, ILAVE_corrected2, H2, L2, D2, H_points, L_points, D_points, PDL, M = results
tlp.set_ydata(10*np.log10(TL))
tvp.set_ydata(10*np.log10(TV*np.ones(wavelength.size)))
thp.set_ydata(10*np.log10(TH))
tdp.set_ydata(10*np.log10(TD))
ILAVE_Theop1.set_data(([0, 1], [ILAVE_Theo, ILAVE_Theo]))
ILMaxp.set_ydata(ILMax)
ILMinp.set_ydata(ILMin)
ILAVEp.set_ydata(ILAVE)
ILAVE_Theop2.set_data(([0, 1], [ILAVE_Theo, ILAVE_Theo]))
ILAVEp2.set_ydata(ILAVE)
ILAVE_simplep.set_ydata(ILAVE_simple)
ILAVE_corrected2p.set_ydata(ILAVE_corrected2)
ILAVE_Theop3.set_data(([0, 1], [ILAVE_Theo, ILAVE_Theo]))
ILAVE_errorp.set_ydata(ILAVE_Theo-ILAVE)
ILAVE_simple_errorp.set_ydata(ILAVE_Theo-ILAVE_simple)
ILAVE_corrected2_errorp.set_ydata(ILAVE_Theo-ILAVE_corrected2)
PDLp.set_ydata(PDL)
pdlp.set_data(([0, 1], [pdl, pdl]))
#fig.delaxes(ax4)
ax1.relim() # Recalculate limits
ax1.autoscale_view(True,True,True) #Autoscale
ax2.relim() # Recalculate limits
ax2.autoscale_view(True,True,True) #Autoscale
ax3.relim() # Recalculate limits
ax3.autoscale_view(True,True,True) #Autoscale
# ax4.relim() # Recalculate limits
# ax4.autoscale_view(True,True,True) #Autoscale
ax5.relim() # Recalculate limits
ax5.autoscale_view(True,True,True) #Autoscale
ax6.relim() # Recalculate limits
ax6.autoscale_view(True,True,True) #Autoscale
ax4.clear()
#ax, fig = draw_poincare_sphere(stokes_points=None)
draw_poincare_sphere(ax4, stokes_points=None)
draw_on_poincare(ax4,M*V, kind='scatter', color='DarkRed', label='V', is_normalized=False)
draw_on_poincare(ax4,H2, kind='scatter', color='g', label='H', is_normalized=False)
draw_on_poincare(ax4,L2, kind='scatter', color='b', label='L', is_normalized=False)
draw_on_poincare(ax4,D2, kind='scatter', color='y', label='D', is_normalized=False)
#draw_on_poincare(ax,[M*V, H_points[-1]], kind='line', color='DarkRed', label='', is_normalized=False)
#draw_on_poincare(ax,[M*V, H_points[0]], kind='line', color='DarkRed', label='', is_normalized=False)
draw_on_poincare(ax4,H_points, kind='line', color='g', label='H variation', is_normalized=False)
draw_on_poincare(ax4,L_points, kind='line', color='b', label='L variation', is_normalized=False)
draw_on_poincare(ax4,D_points, kind='line', color='y', label='D variation', is_normalized=False)
ax4.legend(fontsize=8)
plt.subplots_adjust(bottom=0.28)
fig.canvas.draw_idle()
sretardance.on_changed(update)
sangle_rotation.on_changed(update)
spdl.on_changed(update)
sangle_artifact.on_changed(update)
resetax = plt.axes([0.05, 0.1, 0.1, 0.04])
button = Button(resetax, 'Reset', color=axcolor, hovercolor='0.975')
def reset(event):
sretardance.reset()
sangle_rotation.reset()
spdl.reset()
sangle_artifact.reset()
button.on_clicked(reset)
plt.subplots_adjust(bottom=0.28)
plt.show()