ch35-p109 - 109. A light ray traveling directly along the...

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109. A light ray traveling directly along the central axis reaches the end in time t L v nL c direct == 1 1 . For the ray taking the critical zig-zag path, only its velocity component along the core axis direction contributes to reaching the other end of the fiber. That component is v 1 cos θ ' , so the time of travel for this ray is () 1 zig zag 2 1 1 cos 1s i n/ L t v cn θ using results from the previous solution. Plugging in sin =− nn 1 2 2 2 and simplifying,
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