Answered: Determine the ray-transfer matrix of a…

Determine the ray-transfer matrix of a SELFOC plate [i.e., a graded-index material with parabolic refractive index n(y)≈n0(1−1/2α^2y^2) of thickness d

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 48P

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Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

Ray-Transfer Matrix of a GRIN Plate.

Determine the ray-transfer matrix of a SELFOC plate [i.e., a graded-index material with parabolic refractive index n(y)≈n0(1−1/2α^2y^2) of thickness d

Hint: (the results should be A= cos(αd) , B= 1/α sin(αd), C= -α sin(αd), D= cos(αd)

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