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

Corresponding address

Optica Applicata
Wrocław University of Science and Technology
Faculty of Fundamental Problems of Technology
Wybrzeże Wyspiańskiego 27
50-370 Wrocław, Poland

Publisher

Wrocław University of Science and Technology
Faculty of Fundamental Problems of Technology
Wybrzeże Wyspiańskiego 27
50-370 Wrocław, Poland

Contact us

  • optica.applicata@pwr.edu.pl
  • +48 71 320 23 93
  • +48 71 328 36 96