3: Polarization

Example number 1, Page number 97

In [4]:
#importing modules
import math
from __future__ import division

#Variable declaration
lamda=500*10**-9;      #wavelength(m)
mewe=1.553;            #refractive index of e-ray
mew0=1.544;            #refractive index of o-ray

#Calculation
t=lamda/(2*(mewe-mew0));     #thickness of quartz half wave plate(m)

#Result
print "thickness of quartz half wave plate is",round(t/10**-3,4),"mm"

thickness of quartz half wave plate is 0.0278 mm

Example number 2, Page number 98

In [5]:
#importing modules
import math
from __future__ import division

#Variable declaration
lamda=589*10**-9;      #wavelength(m)
mewe=1.553;            #refractive index of e-ray
mew0=1.544;            #refractive index of o-ray

#Calculation
t=lamda/(4*(mewe-mew0));     #thickness of quartz half wave plate(m)

#Result
print "thickness of quartz half wave plate is",round(t/10**-3,4),"mm"

thickness of quartz half wave plate is 0.0164 mm

Example number 3, Page number 98

In [6]:
#importing modules
import math
from __future__ import division

#Variable declaration
lamda=600*10**-9;      #wavelength(m)
mewe=1.5533;            #refractive index of e-ray
mew0=1.5442;            #refractive index of o-ray

#Calculation
t=lamda/(4*(mewe-mew0));     #thickness of quartz half wave plate(m)

#Result
print "thickness of quartz half wave plate is",round(t/10**-3,4),"mm"

thickness of quartz half wave plate is 0.0165 mm

Example number 4, Page number 98

In [12]:
#importing modules
import math
from __future__ import division

#Variable declaration
lamda=589.3*10**-9;      #wavelength(m)
mewe=1.65833;            #refractive index of e-ray
mew0=1.48640;            #refractive index of o-ray

#Calculation
t1=lamda/(2*(mewe-mew0));     #thickness of half wave plate(m)
t2=lamda/(4*(mewe-mew0));     #thickness of quarter wave plate(m)

#Result
print "thickness of half wave plate is",round(t1/10**-3,7),"mm"
print "thickness of quarter wave plate is",round(t2/10**-3,6),"mm"

thickness of half wave plate is 0.0017138 mm
thickness of quarter wave plate is 0.000857 mm

Example number 5, Page number 99

In [17]:
#importing modules
import math
from __future__ import division

#Variable declaration
t=0.9*10**-6;      #thickness(m)
mewe=1.486;            #refractive index of e-ray
mew0=1.658;            #refractive index of o-ray

#Calculation
lamda1=4*t*(mew0-mewe);      #wavelength for half wave plate(m)
lamda2=2*t*(mew0-mewe);      #wavelength for quarter wave plate(m)

#Result
print "wavelength for half wave plate is",lamda1*10**9,"m"
print "wavelength for quarter wave plate is",lamda2*10**9,"mm"

wavelength for half wave plate is 619.2 m
wavelength for quarter wave plate is 309.6 mm