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@article{1507078,
author = {Vohánka, Jiří and Čermák, Martin and Franta, Daniel and Ohlídal, Ivan},
article_location = {Bristol},
article_number = {4},
doi = {http://dx.doi.org/10.1088/1402-4896/aafbc1},
keywords = {optical quantities; Rayleigh-Rice theory; multi-layer systems; random boundary roughness},
language = {eng},
issn = {0031-8949},
journal = {Physica Scripta},
title = {Efficient method to calculate the optical quantities of multi-layer systems with randomly rough boundaries using the Rayleigh Rice theory},
url = {https://iopscience.iop.org/article/10.1088/1402-4896/aafbc1},
volume = {94},
year = {2019}
}
TY - JOUR
ID - 1507078
AU - Vohánka, Jiří - Čermák, Martin - Franta, Daniel - Ohlídal, Ivan
PY - 2019
TI - Efficient method to calculate the optical quantities of multi-layer systems with randomly rough boundaries using the Rayleigh Rice theory
JF - Physica Scripta
VL - 94
IS - 4
SP - 1-22
EP - 1-22
PB - IOP Publishing Ltd.
SN - 00318949
KW - optical quantities
KW - Rayleigh-Rice theory
KW - multi-layer systems
KW - random boundary roughness
UR - https://iopscience.iop.org/article/10.1088/1402-4896/aafbc1
L2 - https://iopscience.iop.org/article/10.1088/1402-4896/aafbc1
N2 - An efficient and numerically stable method for calculating the optical quantities of multi-layer systems with slightly rough boundaries using the second order Rayleigh–Rice theory is developed. It is assumed that the mean planes of the boundaries are parallel and all the media forming the system are nonmagnetic, isotropic and homogeneous. The perturbation series is formulated using the four-dimensional formalism inspired by the Yeh matrix formalism, but the final result is written using the two-dimensional formalism which is more efficient for the numerical calculations. The final formulae, which are expressed using an arbitrary power spectral density function (PSDF), include the mixing between the p and s polarizations occurring for anisotropic roughness. Although in the general case the calculation of optical quantities requires evaluation of double integrals, it is shown that for the PSDF given by the isotropic Gaussian function some integrals can be calculated analytically and only single integrals have to be evaluated numerically. The random roughness of boundaries is a defect that occurs frequently in practice, and it must be taken into account in the optical characterization and synthesis of thin film systems exhibiting this defect. The presented method is suitable for these purposes, since both of the mentioned applications require methods that are very fast.
ER -
VOHÁNKA, Jiří, Martin ČERMÁK, Daniel FRANTA and Ivan OHLÍDAL. Efficient method to calculate the optical quantities of multi-layer systems with randomly rough boundaries using the Rayleigh Rice theory. \textit{Physica Scripta}. Bristol: IOP Publishing Ltd., 2019, vol.~94, No~4, p.~1-22. ISSN~0031-8949. Available from: https://dx.doi.org/10.1088/1402-4896/aafbc1.
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