dorsal/arxiv
View SchemaIwasawa Effects in Multi-layer Optics
| Authors | Elena Georgieva, Y. S. Kim |
|---|---|
| Categories | |
| ArXiv ID | physics/0103096 |
| URL | https://arxiv.org/abs/physics/0103096 |
| DOI | 10.1103/PhysRevE.64.026602 |
Abstract
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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"abstract": "There are many two-by-two matrices in layer optics. It is shown that they can\nbe formulated in terms of a three-parameter group whose algebraic property is\nthe same as the group of Lorentz transformations in a space with two space-like\nand one time-like dimensions, or the $Sp(2)$ group which is a standard\ntheoretical tool in optics. Among the interesting mathematical properties of\nthis group, the Iwasawa decomposition drastically simplifies the matrix algebra\nunder certain conditions, and leads to a concise expression for the S-matrix\nfor transmitted and reflected rays. It is shown that the Iwasawa effect can be\nobserved in multi-layer optics, and a sample calculation of the S-matrix is\ngiven.",
"arxiv_id": "physics/0103096",
"authors": [
"Elena Georgieva",
"Y. S. Kim"
],
"categories": [
"physics.optics",
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"math.MP"
],
"doi": "10.1103/PhysRevE.64.026602",
"title": "Iwasawa Effects in Multi-layer Optics",
"url": "https://arxiv.org/abs/physics/0103096"
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