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Abstrakty
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.
Czasopismo
Rocznik
Tom
Strony
501--510
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
autor
autor
- Physics Department, Islamic University of Gaza, Gaza, Palestine
Bibliografia
- [1] DRUDE P., The Theory of Optics, Dover, New York, 1959.
- [2] ASPNES D.E., THEETEN J.B., Optical properties of the interface between Si and its thermally grown oxide, Physical Review Letters 43(14), 1979, pp. 1046–1050.
- [3] IRENE E.A., Models for the oxidation of silicon, Critical Reviews in Solid State and Materials Sciences 14(2), 1988, pp. 175–223.
- [4] GONÇALVES D., IRENE E.A., Fundamentals and applications of spectroscopic ellipsometry, Quimica Nova 25(5), 2002, pp. 794–800.
- [5] POSTAVA K., MAZIEWSKI A., YAMAGUCHI T., OSSIKOVSKI R., VISNOVSKY S., PISTORA J., Null ellipsometer with phase modulation, Optics Express 12(24), 2004, pp. 6040–6045.
- [6] AZZAM R., BASHARA N., Ellipsometry and Polarized Light, North-Holland, Amsterdam, 1977.
- [7] VIGOUREUX J.M., Polynomial formulation of reflection and transmission by stratified structures, Journal of the Optical Society of America A 8(11), 1991, pp. 1697–1701.
- [8] GROSSEL PH., VIGOUREUX J.M., BAIDA F., Nonlocal approach to scattering in a one-dimensional problem, Physical Review A 50(5), 1994, pp. 3627–3637.
- [9] SHABAT M.M., TAYA S.A., A new matrix formulation for one-dimensional scattering in Dirac comb (electromagnetic waves approach), Physica Scripta 67(2), 2003, pp. 147–152.
- [10] WAERDEN B., Modern Algebra, Ungar, New York, 1966.
- [11] LANG S., Algebra, Addison-Wesley, MA, 1965.
- [12] ORFANIDIS S., Electromanetic Waves and Antennas, On-Line Textbook, Rutgers University; http://www.ece.rutgers.edu/~orfanidi/ewa.
- [13] PALIK E., Handbook of Optical Constants of Solids, Vol. 2, Academic Press, San Diego, CA, 1991.
- [14] PALIK E., Handbook of Optical Constants of Solids, Vol. 1, Academic Press, San Diego, CA, 1998.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPW7-0012-0170