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Light of wavelength 700.0 nm is sent along a route of length 2000 nm. The route is then filled with a medium having an index of refraction of 1.400. In degrees, by how much does the medium phase-shift the light? Give (a) the full shift and (b) the equivalent shift has a value less than 360°.

Short Answer

Expert verified

(a) The full shift is 411.4°.

(b) The equivalent shift is 51.4°.

Step by step solution

01

Calculation the full phase-shift of the light

(a)

The difference in wavelengths, with and without the n=1.4material, is found using the equation shown below:

ΔN=n-11λ=1.143

The result is equal to phase shift of 1.143360°=411.4°

Hence, the full shift is 411.4°.

02

Calculation the equivalent phase-shift of the light 

(b)

The equivalent shift is calculated as:

411.4°-360°=51.4°.

Hence, the equivalent shift is 51.4°.

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