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Find the minimum angleifor total reflection in the optical fiber in Figure 20-21 if the index of refraction of the cladding is 1.400 and the index of refraction of the core is

(a) 1.600 or

(b) 1.800.

Short Answer

Expert verified
  1. The entire reflection in an optical fibre, the minimum angle ifor 1.600is 胃颈61.04
  2. The entire reflection in an optical fibre, the minimum angle i for 1.800is 胃颈51.06

Step by step solution

01

Definition of optical fiber

  • Fiber optics, often known as optical fibre, is a technology that uses light pulses to convey data along a glass or plastic fibre.
  • A fibre optic cable can have anywhere from a few to several hundred of these glass fibres.
  • The glass fibre core is surrounded by another glass layer called cladding.
02

Determine the minimum angle θi  for total reflection in the optical fiber in 1.600

(a)

For entire reflection, the minimal angle iis

蝉颈苍胃i=ncladdingncore

Simplify fortheminimum angleifor total reflection in the optical fiber in 1.600.

Forncore=1.6,theiis:

蝉颈苍胃i=1.41.6蝉颈苍胃i=0.875i=61.04

The entire reflection in an optical fibre, the minimum angle iis 胃颈61.04

03

Determine the minimum angle θi  for total reflection in the optical fiber in 1.800

(b)

Simplify forthe minimum angle ifor total reflection in the optical fiber in 1.800

For ncore=1.8, the iis:

蝉颈苍胃i=1.41.8蝉颈苍胃i=0.778i=51.08

The entire reflection in an optical fibre, the minimum angle iis i51.06

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