Publication details

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

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Authors

NEČAS David OHLÍDAL Ivan

Year of publication 2014
Type Article in Periodical
Magazine / Source Optics Express
MU Faculty or unit

Central European Institute of Technology

Citation
Web Vydavatel
Doi http://dx.doi.org/10.1364/OE.22.004499
Field Optics, masers and lasers
Keywords thin films; roughness; theory and design; mathematical methods in physics
Attached files
Description 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.
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