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Polarized light transmission through generalized Fibonacci multilayers: I. Dynamical maps approach and II. Numerical results

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Abstract:

I. Dynamical maps approach: The theory of polarized light propagation in dielectric generalized Fibonacci multilayers is developed. The matrix formulation and dynamical maps technique is used. New objects: diagonal antitraces, symmetric and antisymmetric nondiagonal antitraces of characteristic matrices are introduced. Dynamical maps for these objects are derived. Transmittance for s- and p-type polarized light of the studied aperiodic multilayers placed between two homogenous media is expressed in terms of traces and antitraces of characteristic matrices. Three interesting physical situations are considered, allowing to study the influence of surrounding media on light transmission properties of Fibonacci-type multilayers.

II. Numerical results: The theory of polarized light propagation in generalized Fibonacci multilayers, recently developed in the framework of matrix formulation and dynamical maps technique, is applied. Transmittance of studied systems is numerically calculated and presented in gray scale figures. The main tendencies in dependences of transmittance on model parameters are presented and discussed. We find a strong dependence of transmittance on refractive indices of surrounding media. We show that the proposed approach can be useful in optical engineering.

Document Type: Research Article

DOI: https://doi.org/10.1078/0030-4026-00360

Affiliations: Institute of Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wroclaw, Poland

Publication date: 2004-09-01

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