Abstract
The derivation of scalar coupled mode theory for TEM waveguide arrays is examined. It is demonstrated that four previously published methods are identical at this level of approximation. The accuracy of the theory and its application to a slab-waveguide model of a three-arm coupler is considered. It is shown that the coupled mode equations require modification for slowly varying arrays. Analytic expressions for the matrix coefficients are presented, and it is demonstrated that device input-output transitions have significant effect on the response. The model is compared with experimental measurements of three-arm couplers fabricated in Ti:LiNbO/sub 3/, and excellent qualitative agreement is obtained.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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