Assume a transparent rod of diameter d = 1.50 u m has an index o f refractionof

Question

         Assume a transparent rod of diameter d = 1.50 um has an index of

refractionof 1.46. Determine the maximum angle q for which the light rays incident on the end of the rod in Figure P35.39 are subject to total internal reflection along the walls of the rod. Your answer defines the size of the cone of acceptance for the rod.

Assume a transparent rod of diameter d = 1.50 um has an index of refractionof 1.46. Determine the maximum angle q for which the light rays incident on the end of the rod in Figure P35.39 are subject to total internal reflection along the walls of the rod. Your answer defines the size of the cone of acceptance for the rod.

Explanation / Answer

let the refraction angle be "r"

now angle of incidence on the inside =90-r

angle of refraction =90 degrees (for total internal reflection)

==> sin(90 degrees)/sin(90-r) =1.46

==> cos(r) = 1/1.46

==> r = 46.77 degrees

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