)If the refractive index of glass is 1.55 and the refractive index of air is 1.0003, what is the critical angle for total internal reflection at the glass/air interface?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter27: Wave Optics
Section: Chapter Questions
Problem 3P: Two radio antennas separated by d = 300 m as shown in Figure P27.3 simultaneously broadcast...
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a)If the refractive index of glass is 1.55 and the refractive index of air is 1.0003, what is the critical angle for total internal reflection at the glass/air interface?

b) If the refractive index of glass is 1.55 and the refractive index of the hydrated ion-selective film is 1.34, what is the critical angle for total internal reflection at the glass/film interface? 

light beam
glass prisms, n,
ion-selective film, n2
(glass slide, n
air, n3
Figure 1. Diagram of the interfacial region of the optical sensor:
ni, n2, and ng are the refractive indexes of glass, film, and air,
respectively, and a̟ is the critical angle. The evanescent wave pen-
etrates about one wavelength into the film (smaller refractive index
medium) and decays exponentially as shown.
Transcribed Image Text:light beam glass prisms, n, ion-selective film, n2 (glass slide, n air, n3 Figure 1. Diagram of the interfacial region of the optical sensor: ni, n2, and ng are the refractive indexes of glass, film, and air, respectively, and a̟ is the critical angle. The evanescent wave pen- etrates about one wavelength into the film (smaller refractive index medium) and decays exponentially as shown.
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