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Using Snell’s Law, derive an equation for the critical angle θc.    2. Explain why total internal reflection cannot occur in cases where n1

Using Snell’s Law, derive an equation for the critical angle θc.    2. Explain why total internal reflection cannot occur in cases where n1

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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1. Using Snell’s Law, derive an equation for the critical angle θc. 

 

2. Explain why total internal reflection cannot occur in cases where n1<n2.

ni sin 0, = n2 sin 02 where n and n, are the indices of refraction for the two materials, 0, is the angle of incidence, and 02 is the angle of refraction. In cases where n >n2, there exists a range of angles at which all light incident on the second material can be trapped inside the first material, with none of it being transmitted to the second material. The minimum angle at which this occurs is the critical angle 0., which is defined as the incident angle 0, that would result in a refraction angle 02 = 90°.
Transcribed Image Text:ni sin 0, = n2 sin 02 where n and n, are the indices of refraction for the two materials, 0, is the angle of incidence, and 02 is the angle of refraction. In cases where n >n2, there exists a range of angles at which all light incident on the second material can be trapped inside the first material, with none of it being transmitted to the second material. The minimum angle at which this occurs is the critical angle 0., which is defined as the incident angle 0, that would result in a refraction angle 02 = 90°.
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