Question

Internal critical angle in core at core cladding interface of a step Index fiber is
78.6º. The refractive index of cladding is 1.45. What is the fractional refractive index of the cable​

Answer 1

Given info : Internal critical angle in core at core cladding interface of a step Index fiber is

78.6º. The refractive index of cladding is 1.45.

To find : The fractional refractive index of the cable is...

solution : using formula,

sinα = √{μ₁² - μ₂²}

where α is angle of acceptance.

μ₁ is core index of refractive index

and μ₂ is refractive index of cladding.

here, α = 78.6° , μ₂ = 1.45

so, sin78.6° = √(μ₁² - 1.45)

⇒μ₁ = 1.55

now the fractional refractive index of the cable = (μ₁ - μ₂)/μ₁

= (1.55 - 1.45)/1.55

= 1/1.55

= 0.645

Therefore the fractional refractive index of the cable is 0.645 (approx).

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