5. A fiber-optic cable (such as those used in endoscopes or other medical equipment) consists of a glass or plastic cylinder called the core surrounded by another layer made out of a different type of glass or plastic called the cladding (see figure below). Cladding (n;) Core (n) a. In order for the light to travel along the length of the fiber, total internal reflection should happen any time the light beam is incident on the core-cladding interface (such as point A). Show that for this condition to be satisfied, the maximum incident angle 0 should be given as sin 0 = n1 1- b. Find this maximum angle if n; = 1.58 and n2 = 1.53. Answer: 23.2° %3! la

Principles of Physics: A Calculus-Based Text
5th Edition
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Author:Raymond A. Serway, John W. Jewett
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Chapter25: Reflection And Refraction Of Light
Section: Chapter Questions
Problem 47P
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5. A fiber-optic cable (such as those used in endoscopes or other medical equipment)
consists of a glass or plastic cylinder called the core surrounded by another layer made
out of a different type of glass or plastic called the cladding (see figure below).
A
Cladding (n2)
Core (n,)
a. In order for the light to travel along the length of the fiber, total internal reflection
should happen any time the light beam is incident on the core-cladding interface
(such as point A). Show that for this condition to be satisfied, the maximum
incident angle 0 should be given as
n2
sin 0 = n1 1–
n1
b. Find this maximum angle if n¡ = 1.58 and n = 1.53. Answer: 23.2°
Transcribed Image Text:Page 3 > of 4 ZOOM + 5. A fiber-optic cable (such as those used in endoscopes or other medical equipment) consists of a glass or plastic cylinder called the core surrounded by another layer made out of a different type of glass or plastic called the cladding (see figure below). A Cladding (n2) Core (n,) a. In order for the light to travel along the length of the fiber, total internal reflection should happen any time the light beam is incident on the core-cladding interface (such as point A). Show that for this condition to be satisfied, the maximum incident angle 0 should be given as n2 sin 0 = n1 1– n1 b. Find this maximum angle if n¡ = 1.58 and n = 1.53. Answer: 23.2°
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