Theory of Scalar Wave Scattering by a Sphere and a Planar Substrate
J. Korean Phy. Soc. 2018; 73: 1512~1518
Published online November 30, 2018 © 2018 The Korean Physical Society.


1Division of Industrial Metrology, Korea Research Institute of Standards and Science, Daejeon 34113, Korea
2Institute of Photonics and Information Technology, Department of Physics, Chonbuk National University, Jeonju 54896, Korea
Correspondence to: Jin Seung Kim
Abstract
The problem of scalar wave scattering by a sphere on or near a planar substrate is analytically solved. The solution is a set of wave functions in the form of infinite series of spherical and plane waves. In air, the incident wave is either scattered by the sphere or reflected from the substrate. A part of these scattered or reflected waves propagate to the other object where it is reflected and scattered again. Such processes repeat indefinitely to generate an infinite number of the multiply scattered waves, as represented by the corresponding terms in the infinite series.
PACS numbers: 42.25.Bs, 42.25.Fx, 42.68.Mj, 41.20.Jb
Keywords: Scattering, Sphere, Planar substrate, Multiple scattering


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