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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 33, Iss. 17 — Sep. 1, 2008
  • pp: 1948–1950

Accurate calculation of reflectance spectra for thick one-dimensional inhomogeneous optical structures and media: stable propagation matrix method

Zhao Lu  »View Author Affiliations


Optics Letters, Vol. 33, Issue 17, pp. 1948-1950 (2008)
http://dx.doi.org/10.1364/OL.33.001948


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Abstract

Numerical instability is usually observed when the propagation matrix method is used to calculate the reflectance and transmittance spectra for the thick one-dimensional inhomogeneous optical structures and media. To remove this numerical instability we applied two procedures, the normalization and the singular-value decomposition, for the propagation matrix and the matrix involved in calculating the matrix of reflection coefficients, respectively. Examples of a cholesteric liquid crystal and a helical structure of ferroelectric liquid crystals with a twist defect show that the modified propagation matrix method is able to accurately calculate the reflectance spectra for thick structures.

© 2008 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(160.1190) Materials : Anisotropic optical materials

ToC Category:
Materials

History
Original Manuscript: May 27, 2008
Manuscript Accepted: June 25, 2008
Published: August 22, 2008

Citation
Zhao Lu, "Accurate calculation of reflectance spectra for thick one-dimensional inhomogeneous optical structures and media: stable propagation matrix method," Opt. Lett. 33, 1948-1950 (2008)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-33-17-1948


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