We have the following set-up for the wavelength 530 nm. After a linear polarizer there is a Faraday rotator that turns the polarization direction 45°. This rotator is followed by an optically active crystal that turns the polarization direction back to the original direction. Answer the following questions: (a) A certain glass type with the Verdet constant 5.28 [°/(T · cm)] is used in the Faraday rotator. It is possible to use a magnetic field of 1.0 T. How long glass rod has to be used? (b) As optically active crystal, a quartz crystal is used. The refractive index is ne =1.544204 and no =1.544271. How thick must the crystal be? (c) After the optically active crystal there is a mirror that reflects the light back the same path as it came from. Give the polarization state after the optically active crystal and after the Faraday rotator. Give also the part (in %) of the reflex that passes back through the first linear polarizer. Optically active Polarizer Faraday rotator Mirror crystal d1 Opical axis d2 T45° Vertical Vertical polarization polarization

Elements Of Electromagnetics
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We have the following set-up for the wavelength 530 nm. After a linear polarizer there is a Faraday
rotator that turns the polarization direction 45°. This rotator is followed by an optically active crystal
that turns the polarization direction back to the original direction. Answer the following questions:
(a) A certain glass type with the Verdet constant 5.28 [°/(T · cm)] is used in the Faraday rotator. It is
possible to use a magnetic field of 1.0 T. How long glass rod has to be used?
(b) As optically active crystal, a quartz crystal is used. The refractive index is ne =1.544204 and no
=1.544271. How thick must the crystal be?
(c) After the optically active crystal there is a mirror that reflects the light back the same path as it came
from. Give the polarization state after the optically active crystal and after the Faraday rotator. Give
also the part (in %) of the reflex that passes back through the first linear polarizer.
Optically
active
Polarizer
Faraday rotator
Mirror
crystal
d1 Opical
axis
d2
T45°
Vertical
Vertical
polarization
polarization
Transcribed Image Text:We have the following set-up for the wavelength 530 nm. After a linear polarizer there is a Faraday rotator that turns the polarization direction 45°. This rotator is followed by an optically active crystal that turns the polarization direction back to the original direction. Answer the following questions: (a) A certain glass type with the Verdet constant 5.28 [°/(T · cm)] is used in the Faraday rotator. It is possible to use a magnetic field of 1.0 T. How long glass rod has to be used? (b) As optically active crystal, a quartz crystal is used. The refractive index is ne =1.544204 and no =1.544271. How thick must the crystal be? (c) After the optically active crystal there is a mirror that reflects the light back the same path as it came from. Give the polarization state after the optically active crystal and after the Faraday rotator. Give also the part (in %) of the reflex that passes back through the first linear polarizer. Optically active Polarizer Faraday rotator Mirror crystal d1 Opical axis d2 T45° Vertical Vertical polarization polarization
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