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The figure depicts a simplistic optical fiber: a plastic core (n1 = 1.54) is surrounded by...

The figure depicts a simplistic optical fiber: a pThe figure depicts a simplistic optical fiber: a plastic core (n1 = 1.54) is surrounded by a plastic sheath (n2 = 1.46). A light ray is incident on one end of the fiber at angle ?. The rays is to undergo total internal reflection at point A, where it encounters the core-sheath boundary. (Thus there is no loss of light through that boundary.) What is the maximum value of ? that allows total internal reflection at A?

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Answer #1

At critical angle,

n1/n2 = 1/sin(c)

Sin(theta) = n1 sqrt(1 - (n2/n1)^2)

Theta = arcsin sqrt(n1^2 - n2^2)

Theta = arcsin sqrt(1.54^2 - 1.46^2)

Theta = 29.33 degree

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