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Evolution of the polarization in codirectional and contradirectional optical couplers

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Abstract

Jones and Mueller calculus for both forward- and backward-wave optical couplers is presented. By using Kronecker product algebra, the relationship between the system matrices of the amplitude, the coherency, and the polarization vectors is derived. The relationship between the corresponding transfer matrices is also established. Explicit expressions are given for the Mueller matrix of uniform two-mode devices supporting hermitian and skew-hermitian coupling. For uniform devices the eigenvalues and eigenvectors of the propagator matrices of the Jones and Stokes vectors are evaluated. Linearly tapered and chirped optical couplers are analyzed, and solutions are given for the transfer matrix of the modal amplitude vector.

© 1982 Optical Society of America

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