Abstract

The design of a coupling between a semiconductor laser and a single-mode fiber, or between any two optical or acoustical elements that support Gaussian modes, is presented as a trade-off among coupling efficiency Ta, offset misalignment tolerance de, and angular misalignment tolerance θe. We show that these three parameters are subject to a trade-off limitation which takes the form 0<Ta1/2θedeλ/π, and we show how to design a coupling so that the upper bound on the alignment product Ta1/2θede is achieved.

© 1984 Optical Society of America

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