Iwasawa Effects in Multi-layer Optics

Details Iwasawa Effects in Multi-layer Optics Iwasawa Effects in Multi-layer Optics

2001-03-30

arxiv.org/abs/physics/0103096v1

Physics

Optics

RevTex 10 pages including 1 psfig

Scientific paper

10.1103/PhysRevE.64.026602

There are many two-by-two matrices in layer optics. It is shown that they can be formulated in terms of a three-parameter group whose algebraic property is the same as the group of Lorentz transformations in a space with two space-like and one time-like dimensions, or the $Sp(2)$ group which is a standard theoretical tool in optics. Among the interesting mathematical properties of this group, the Iwasawa decomposition drastically simplifies the matrix algebra under certain conditions, and leads to a concise expression for the S-matrix for transmitted and reflected rays. It is shown that the Iwasawa effect can be observed in multi-layer optics, and a sample calculation of the S-matrix is given.

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