Abstract

A strategy for the efficient numerical evaluation of Sommerfeld integrals in the context of electromagnetic scattering at particles embedded in a plane parallel layer system is presented. The scheme relies on a lookup-table approach in combination with an asymptotic approximation of the Bessel function in order to enable the use of fast Fourier transformation. Accuracy of the algorithm is enhanced by means of singularity extraction and a novel technique to treat the integrand at small arguments. For short particle distances, this method is accomplished by a slower but more robust direct integration along a deflected contour. As an example, we investigate enhanced light extraction from an organic light-emitting diode by optical scattering particles. The calculations are discussed with respect to accuracy and computing time. By means of the present strategy, an accurate evaluation of the scattered field for several thousand wavelength scale particles can be achieved within a few hours on a conventional workstation computer.

© 2016 Optical Society of America

A fast solver for multi-particle scattering in a layered medium

Jun Lai, Motoki Kobayashi, and Leslie Greengard
Opt. Express 22(17) 20481-20499 (2014)

Efficient high-order evaluation of scattering by periodic surfaces: deep gratings, high frequencies, and glancing incidences

Oscar P. Bruno and Michael C. Haslam
J. Opt. Soc. Am. A 26(3) 658-668 (2009)

Light scattering by oblate particles near planar interfaces: on the validity of the T-matrix approach

Amos Egel, Dominik Theobald, Yidenekachew Donie, Uli Lemmer, and Guillaume Gomard
Opt. Express 24(22) 25154-25168 (2016)

Global polarizability matrix method for efficient modeling of light scattering by dense ensembles of non-spherical particles in stratified media

Maxime Bertrand, Alexis Devilez, Jean-Paul Hugonin, Philippe Lalanne, and Kevin Vynck
J. Opt. Soc. Am. A 37(1) 70-83 (2020)

Calculation of the Rayleigh–Sommerfeld diffraction integral by exact integration of the fast oscillating factor

Jan A. C. Veerman, Jurgen J. Rusch, and H. Paul Urbach
J. Opt. Soc. Am. A 22(4) 636-646 (2005)