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GaussianVi.py
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GaussianVi.py
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import numpy as np
import matplotlib.pyplot as plt
from matplotlib.widgets import Slider, Button, RadioButtons
from matplotlib import text
# Define initial setuplength and plot resolution
length = 800.0
res = 0.1
# Define plots and range
fig, ax = plt.subplots()
fig.canvas.set_window_title('GaussianBeamVI - copyright @ wwang2@caltech.edu')
plt.subplots_adjust(bottom=0.50)
# beam waist function
def beam(w,lamda,start,stop):
x = np.arange(start, stop, res)
return w*(1+ (lamda*(x-start)/(np.pi*w**2))**2)**0.5
# Plot the back trace of the beam
def backbeam(m,w,lamda,start,stop):
zr = np.pi*(w*m)**2/lamda
x = np.arange(start, stop, res)
return m*w*(1+ ((stop-x)/zr)**2)**0.5
# Compute the waist position
def imageposition(w,lamda,f,s):
zr = np.pi*w**2/lamda
return 1/(1/f - 1/(s+zr**2/(s-f)))
# Compute the magnification
def mag(w,lamda,f,s):
zr = np.pi*w**2/lamda
return 1/(((1-s/f)**2+(zr/f)**2)**0.5)
# Reset
def reset(event):
spos1.reset()
sf1.reset()
sw0.reset()
# initial beam and lens position
lamda0 = 782e-6
pos1ini = 51
f1ini = 50.0
wini = 0.5
m1ini = mag(wini,lamda0,f1ini,pos1ini)
# 2nd lens initial parameter
f2ini = 50.0
pos2ini = 151.0
# Compute Initial magnification and beamwaist position
im1posini = imageposition(wini,lamda0,f1ini,pos1ini)
im2posini = imageposition(wini*m1ini,lamda0,f2ini,pos2ini-im1posini-pos1ini)
w1ini = m1ini*wini
m2ini = mag(w1ini,lamda0,f2ini,pos2ini-im1posini-pos1ini)
w2ini = m2ini*w1ini
# Initialize Plots with initial parameters
beam1down ,= plt.plot(np.arange(0,pos1ini,res),-beam(wini,lamda0,0.0,pos1ini),color = "Blue")
beam1up ,= plt.plot(np.arange(0,pos1ini,res),beam(wini,lamda0,0.0,pos1ini),color = "Blue")
beam2down ,= plt.plot(np.arange(pos1ini+im1posini,pos2ini,res),
-beam(w1ini,lamda0,pos1ini+im1posini,pos2ini),color = "Blue")
beam2up ,= plt.plot(np.arange(pos1ini+im1posini,pos2ini,res),
beam(w1ini,lamda0,pos1ini+im1posini,pos2ini),color = "Blue")
bbeam1down ,= plt.plot(np.arange(pos1ini,pos1ini+im1posini,res),
-backbeam(m1ini,wini,lamda0,pos1ini,pos1ini+im1posini),color = "Blue")
bbeam1up ,= plt.plot(np.arange(pos1ini,pos1ini+im1posini,res),
backbeam(m1ini,wini,lamda0,pos1ini,pos1ini+im1posini),color = "Blue")
beam3down ,= plt.plot(np.arange(pos2ini+im2posini,length,res),
-beam(w2ini,lamda0,pos2ini+im2posini,length),color = "Blue")
beam3up ,= plt.plot(np.arange(pos2ini+im2posini,length,res),
beam(w2ini,lamda0,pos2ini+im2posini,length),color = "Blue")
bbeam2down ,= plt.plot(np.arange(pos2ini,pos2ini+im2posini,res),
-backbeam(m2ini,w1ini,lamda0,pos2ini,pos2ini+im2posini),color = "Blue")
bbeam2up ,= plt.plot(np.arange(pos2ini,pos2ini+im2posini,res),
backbeam(m2ini,w1ini,lamda0,pos2ini,pos2ini+im2posini),color = "Blue")
im1 ,= plt.plot([pos1ini+im1posini,pos1ini+im1posini], [-w1ini,w1ini])
im2 ,= plt.plot([pos2ini+im2posini,pos2ini+im2posini], [-w2ini,w2ini])
lens1 ,= plt.plot([pos1ini,pos1ini],[-2,2])
lens2 ,= plt.plot([pos2ini,pos2ini],[-2,2])
plt.axis([0, length, -2, 2])
ax.xaxis.set_ticks(np.arange(0, length, 50))
ax.yaxis.set_ticks(np.arange(-2.5, 2.5, 0.25))
ax.tick_params(labeltop=True, labelright=True)
axcolor = 'lightgoldenrodyellow'
# Define wavelength Slider
axlamda = plt.axes([0.25, 0.35, 0.65, 0.03], axisbg=axcolor)
slamda = Slider(axlamda, 'wavelent', 200, 1200, valinit=782)
# Define lens position slider
axpos1 = plt.axes([0.25, 0.25, 0.65, 0.03], axisbg=axcolor)
axpos2 = plt.axes([0.25, 0.15, 0.65, 0.03], axisbg=axcolor)
spos1 = Slider(axpos1, 'position1', 0.0, length, valinit=pos1ini)
spos2 = Slider(axpos2, 'position2', 0.0, length, valinit=pos2ini)
# Define initial beam wasit slider
axw0 = plt.axes([0.25, 0.3, 0.65, 0.03], axisbg=axcolor)
sw0 = Slider(axw0, 'beam waist', 0.0, 2.0, valinit=wini)
# Define lens1 focus slider
axf1 = plt.axes([0.25, 0.2, 0.65, 0.03], axisbg=axcolor)
sf1 = Slider(axf1, 'lens 1 focus', 0.0, 300, valinit=f1ini)
# Define lens2 foucs slider
axf2 = plt.axes([0.25, 0.1, 0.65, 0.03], axisbg=axcolor)
sf2 = Slider(axf2, 'lens 2 focus', 0.0, 300, valinit=f2ini)
# Update plots in response to sliders
def update(val):
lamda = slamda.val* 0.000001
print lamda
pos1 = spos1.val
pos2 = spos2.val
w0 = sw0.val
f1 = sf1.val
f2 = sf2.val
m1 = mag(w0,lamda,f1,pos1)
im1pos = imageposition(w0,lamda,f1,pos1)
w1 = m1*w0
m2 = mag(w1,lamda,f2,pos2-im1pos-pos1)
im2pos = imageposition(w1,lamda,f2,pos2-im1pos-pos1)
w2 = m2*w1
print w2
lens1.set_data([pos1, pos1], [-2,2])
lens2.set_data([pos2, pos2], [-2,2])
beam1up.set_data(np.arange(0.0, pos1,res),np.array(beam(w0,lamda,0.0,pos1)))
bbeam1up.set_data(np.arange(pos1,pos1+im1pos,res),np.array(backbeam(m1,w0,lamda,pos1,pos1+im1pos)))
beam1down.set_data(np.arange(0.0, pos1,res),-np.array(beam(w0,lamda,0.0,pos1)))
bbeam1down.set_data(np.arange(pos1,pos1+im1pos,res),-np.array(backbeam(m1,w0,lamda,pos1,pos1+im1pos)))
beam2up.set_data(np.arange(pos1+im1pos,pos2,res),np.array(beam(w1,lamda,pos1+im1pos,pos2)))
beam2down.set_data(np.arange(pos1+im1pos,pos2,res),-np.array(beam(w1,lamda,pos1+im1pos,pos2)))
beam3up.set_data(np.arange(pos2+im2pos,length,res),np.array(beam(w2,lamda,pos2+im2pos,length)))
beam3down.set_data(np.arange(pos2+im2pos,length,res),-np.array(beam(w2,lamda,pos2+im2pos,length)))
bbeam2up.set_data(np.arange(pos2,pos2+im2pos,res),
backbeam(m2,w1,lamda,pos2,pos2+im2pos))
bbeam2down.set_data(np.arange(pos2,pos2+im2pos,res),
-backbeam(m2,w1,lamda,pos2,pos2+im2pos))
im1.set_data([im1pos+pos1,im1pos+pos1],[-w1,w1])
im2.set_data([pos2+im2pos,pos2+im2pos], [-w2,w2])
fig.canvas.draw_idle()
# Call the update function once slider changes
sw0.on_changed(update)
spos1.on_changed(update)
sf1.on_changed(update)
spos2.on_changed(update)
sf2.on_changed(update)
slamda.on_changed(update)
# Define Reset Button
resetax = plt.axes([0.8, 0.025, 0.1, 0.04])
button = Button(resetax, 'Reset', color=axcolor, hovercolor='0.975')
button.on_clicked(reset)
plt.show()