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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 4 — Feb. 24, 2014
  • pp: 4499–4515

Consolidated series for efficient calculation of the reflection and transmission in rough multilayers

David Nečas and Ivan Ohlídal  »View Author Affiliations

Optics Express, Vol. 22, Issue 4, pp. 4499-4515 (2014)

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Fresnel reflectance and transmittance coefficients of a thin film system consisting of an arbitrary number of layers are expressed explicitly in the form of a power series of Fresnel coefficients for individual boundaries and phase terms for the individual films. The series is based on the evaluation of all possible paths light can pass through the system. However, the series is written as consolidated, i. e. all paths corresponding to the same powers are represented using a single term in the series, with multiplicity which is a simple product of binomial coefficients. This result is used to express the normal reflectance of a thin film system with arbitrarily correlated randomly rough boundaries and it is shown that such approach can be computationally efficient in practice.

© 2014 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(240.0310) Optics at surfaces : Thin films
(240.5770) Optics at surfaces : Roughness
(310.6805) Thin films : Theory and design

ToC Category:
Thin Films

Original Manuscript: September 24, 2013
Revised Manuscript: January 10, 2014
Manuscript Accepted: January 13, 2014
Published: February 20, 2014

David Nečas and Ivan Ohlídal, "Consolidated series for efficient calculation of the reflection and transmission in rough multilayers," Opt. Express 22, 4499-4515 (2014)

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