Eigenequations and Compact Algorithms for Bulk and Layered Anisotropic Optical Media: Reflection and Refraction at a Crystal-Crystal Interface
✍ Scribed by I.J. Hodgkinson; S. Kassam; Q.H. Wu
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 346 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
theoretical direction rather than a computing focus, and the reader is left with a significant amount of work to do Eigenequations leading to compact algorithms for computing the optical properties of anisotropic media that may be stratified in the in order to develop a useful computer program. Thus there x-direction are described. For each medium a 4 ϫ 4 matrix F ˆof remains a need for simple algorithms for computing optical basis field vectors is determined as the eigenvectors of a 4 ϫ 4 properties resulting from propagation in anisotropic matrix form of Fresnel's equation. A minimum sort of the columns media.
of F ˆthat is necessary for a birefringent cover or substrate separates
In this article we derive compact algorithms that are basis vectors that carry power in the positive and negative x-direcbased on the solution of eigenequations derived from Maxtions respectively. A sorting procedure is discussed for the most well's equations. We begin by reviewing the relevant propcomplicated refractive index section in which the outer and inner sheets do not touch and the outer sheet has a well defined cusp. erties of anisotropic media, develop the algorithms, and MATLAB code is provided for the implementation of basic then discuss a procedure for sorting the eigenvalues and routines. ᮊ 1997 Academic Press eigenvectors by considering the most complicated example. Finally, implementation code for MATLAB [7] is listed in an appendix.