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Consider a set of N parallel planar transparent plates of refractive indices ₁, ₂, 3, ... n and thinness d₁, d₂, d3, ..., d placed in air (n=1) normal to the z axis. Using induction, show that the ray transfer matrix is: •Prove 1 n1 n2 nN 1 Z M = [1 Σ N di i=1 ni shee glass 9 d₂ dN Note that the order in which the plates are placed does not affect the overall ray transfer matrix.

Consider a set of N parallel planar transparent plates of refractive indices ₁, ₂, 3, ... n and thinness d₁, d₂, d3, ..., d placed in air (n=1) normal to the z axis. Using induction, show that the ray transfer matrix is: •Prove 1 n1 n2 nN 1 Z M = [1 Σ N di i=1 ni shee glass 9 d₂ dN Note that the order in which the plates are placed does not affect the overall ray transfer matrix.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1:23 AM Mon 27 Mar 1 n1 n₂ sheet of A set of parallel transparent plates. Prove N Consider a set of N parallel planar transparent plates of refractive indices n₁, ₂, 3, ... n and thinness d₁, d₂, d3, ..., d placed in air (n=1) normal to the z axis. Using induction, show that the ray transfer matrix is: 1² of glass d T HH d2 EXERCISE 1.4-2: page-58 ●●● nN 1 Z 16:32 M EXERCISE 1 A-3 dN Note that the order in which the plates are placed does not affect the overall ray transfer matrix. N | Σ Σ di i=1 ni + : 45% > 24 / 27 <
Transcribed Image Text:1:23 AM Mon 27 Mar 1 n1 n₂ sheet of A set of parallel transparent plates. Prove N Consider a set of N parallel planar transparent plates of refractive indices n₁, ₂, 3, ... n and thinness d₁, d₂, d3, ..., d placed in air (n=1) normal to the z axis. Using induction, show that the ray transfer matrix is: 1² of glass d T HH d2 EXERCISE 1.4-2: page-58 ●●● nN 1 Z 16:32 M EXERCISE 1 A-3 dN Note that the order in which the plates are placed does not affect the overall ray transfer matrix. N | Σ Σ di i=1 ni + : 45% > 24 / 27 <
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