One anlytic form for four branches of the ABCD matrix

Physics – Mathematical Physics

Scientific paper

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LaTex 21 pages, 3 figures, to be published in J. Mod. Opt., special issue dedicated to the memory of Lorenzo Narducci

Scientific paper

It is not always possible to diagonalize the optical $ABCD$ matrix, but it
can be brought into one of the four Wigner matrices by a similarity
transformation. It is shown that the four Wigner matrices can be combined into
one matrix with four branches. This result is illustrated in terms of optical
activities, laser cavities, and multilayer optics.

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