A step-index fiber has an inner cylindrical core surrounded by a cylindrical cla

Question

A step-index fiber has an inner cylindrical core surrounded by a cylindrical cladding. The core has an index of refraction n1 = 1.40. Light of vacuum wavelength 633 nm enters the fiber from air (n0=1) at an angle ?0 as shown below. The incidence angle at the core-cladding interface is the critical angle ?c.

a.      What is the wavelength of light inside the fiber's core?

b.     The critical angle ?c for the core-cladding interface is 59°. What is the index of refraction of the cladding?

c.      What should be the maximum value of the incident angle ?0 such that light is totally internally reflected at the core-cladding interface?

d.     What happens when light is incident at an angle less than ?0?

a.      What is the wavelength of light inside the fiber's core?

b.     The critical angle ?c for the core-cladding interface is 59°. What is the index of refraction of the cladding?

c.      What should be the maximum value of the incident angle ?0 such that light is totally internally reflected at the core-cladding interface?

d.     What happens when light is incident at an angle less than ?0?

Explanation / Answer

a.

Wavelength = 633/1.4 = 452.14 nm

b.

n2 = 1.4*sin 59 = 1.2

c.

sin 0 = sqrt (n1^2-n2^2)

sin 0 = sqrt (1.4^2-1.2^2)

0 = 31.33 degrees

d.

This gets eventually lost during propagation

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