A single beam of 590 nm light is sent through the following optical setup. It is

Question

A single beam of 590 nm light is sent through the following optical setup. It is split by a beam splitter which results in two beams oriented as shown. The distance traveled between the beam splitter and point c is the same for both paths, though each one travels through a different amount of crystal. The medium in which this system is set up is air. The amplitude of the wave at point a is the same as that at point b. Note: This diagram is not to scale.

Completely describe the state of polarization at point c after recombination. Explain any assumptions you may have made.

E-M plane wave beam orientation at point a 2 Beam Splitter o Optical Axis Dimensions of Tourmaline Mirror Orientation of Tourmaline Crystal: z xy Crystal is z: 4.107 um E b y perpendicular to y: 5.000 um the Paper Mirror Mirror What is the state of polarization of the Tourmaline c wave at point c after recombination Mirror One Way Mirror

Explanation / Answer

Ans:- A single beam of 590 nm light is passing thought optical device. It is split in two beams oriented distance passing b/w the beam splitter & point c is the same for both paths, medium is air. so we assume the two beams have the same optical power . we know different types of beam splitters are used

In laser technology we are used dielectric mirrors are often used for such purposes. The angle of incidence & the angular separation for the output ray beams. the influences of the beam splitter

so as per equation generaly reflectivity of a dichroic mirror are to be depends on the polarization of the beam. so a optical setup can be optimized a thin-film polarizer. some wavelength range with a certain polarization are totally reflected, when the beam with different polarization in transmitted.

so the monochromatic light polarized in the E-M plan wave beam orientation at point a direction enters the dielectrical crystal & broken into two waves. so we are suppose while in the crystal both wave passes through fast & same wavelength. So no phase & path difference between the waves is . so After the polarization crystal two waves are recombined & find a resultant wave that are vibrates in same direction as the polarized light. so this light will be the analyzer by extinguished. it is vibrating at 90o at polarization direction for analyzer.
   Again, the crystal is viewed at some angle off extinction, with E-M plan wave beam orientation at point b so the polarized monochromatic light entering from below. , the resultant wave for recombination of two waves will be vibrating at angle 90o to the same direction of the enter polarized light. so the resultant wave is vibrating for parallel to the polarizing direction. it will pass through the analyzer we are using tourmaling crystal . so this will find any path difference, , is [(2n + 1)/2]

Polarized light entering from in different path a & b. broken into two wave beam in the crystal both of which vibrate parallel privileged directions in the crystal. so the resultant wave produced by recombination of the two polarized waves after leaving the tourmaline crystal. so the resultant wave vibrating 90 degree to the polarizer & this light will pass the analyzer

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