Vol. 40, Issue 2, pp. 501-510

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  2. Optica Applicata Vol. 40, Issue 2, pp. 501-510 (2010)
Vol. 40 Issue 2 pp. 501-510

A polynomial approach for reflection, transmission, and ellipsometric parameters by isotropic stratified media

Taher El-Agez, Sofyan Taya, Ahmed El Tayyan

Keywords

ellipsometry, reflectance, transmittance, ellipsometric parameters, quarter-wave Bragg reflectors, stratified planar structure

Abstract

A polynomial approach for the calculation of the reflectance, the transmittance, and  the ellipsometric parameters of a stratified isotropic planar structure is presented. We show that these parameters can be written in a very simple and compact form using the so-called elementary symmetric functions that are extensively used in the mathematical theory of polynomials. This approach is applied to quarter-wave Bragg reflectors. The numerical results reveal an exact match with the well known matrix formalism.

Vol. 40
Issue 2
pp. 501-510

0.5 MB
OPTICA APPLICATA - a quarterly of the Wrocław University of Science and Technology, Faculty of Fundamental Problems of Technology