Linear System Approach to the Debye Series for Electromagnetic Scattering by a Multi-Layer Sphere: A Tutorial

James A. Lock

doi:10.1016/j.jqsrt.2015.10.005

Linear System Approach to the Debye Series for Electromagnetic Scattering by a Multi-Layer Sphere: A Tutorial

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Abstract

A general elementary linear system containing two inputs and two outputs is defined, and the behavior of a composite system consisting of a number of elementary systems connected in series is reviewed. In particular, the four proportionality coefficients relating the outputs of the composite system to its inputs have the same formal mathematical structure, independent of the number of elementary systems that are connected together. This composite linear system is then used to model scattering of an electromagnetic plane wave by a singly-coated sphere or a multi-layer sphere. Mirroring the behavior of a general linear system, the partial wave scattering amplitudes and their Debye series representation also have the same formal mathematical structure, independent of the number of layers of the sphere. Lastly, the interpretation of coherent multiple-scattering inside a multi-layer sphere in the frequency-domain is commented on.

Original language	American English
Journal	Default journal
Volume	178
DOIs	https://doi.org/10.1016/j.jqsrt.2015.10.005
State	Published - Jul 1 2016

Keywords

Wave scattering; Mie theory; Multiple scattering; Inhomogeneous media

Disciplines

Physics

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10.1016/j.jqsrt.2015.10.005License: CC BY

http://www.sciencedirect.com/science/article/pii/S0022407315300789

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title = "Linear System Approach to the Debye Series for Electromagnetic Scattering by a Multi-Layer Sphere: A Tutorial",

abstract = " A general elementary linear system containing two inputs and two outputs is defined, and the behavior of a composite system consisting of a number of elementary systems connected in series is reviewed. In particular, the four proportionality coefficients relating the outputs of the composite system to its inputs have the same formal mathematical structure, independent of the number of elementary systems that are connected together. This composite linear system is then used to model scattering of an electromagnetic plane wave by a singly-coated sphere or a multi-layer sphere. Mirroring the behavior of a general linear system, the partial wave scattering amplitudes and their Debye series representation also have the same formal mathematical structure, independent of the number of layers of the sphere. Lastly, the interpretation of coherent multiple-scattering inside a multi-layer sphere in the frequency-domain is commented on.",

keywords = "Wave scattering; Mie theory; Multiple scattering; Inhomogeneous media",

author = "Lock, \{James A.\}",

note = "James A. Lock, {"}Linear system approach to the Debye series for electromagnetic scattering by a multi-layer sphere: A tutorial,{"} Journal of Quantitative Spectroscopy and Radiative Transfer 178, 38-49 (2016)",

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AU - Lock, James A.

N1 - James A. Lock, "Linear system approach to the Debye series for electromagnetic scattering by a multi-layer sphere: A tutorial," Journal of Quantitative Spectroscopy and Radiative Transfer 178, 38-49 (2016)

PY - 2016/7/1

Y1 - 2016/7/1

N2 - A general elementary linear system containing two inputs and two outputs is defined, and the behavior of a composite system consisting of a number of elementary systems connected in series is reviewed. In particular, the four proportionality coefficients relating the outputs of the composite system to its inputs have the same formal mathematical structure, independent of the number of elementary systems that are connected together. This composite linear system is then used to model scattering of an electromagnetic plane wave by a singly-coated sphere or a multi-layer sphere. Mirroring the behavior of a general linear system, the partial wave scattering amplitudes and their Debye series representation also have the same formal mathematical structure, independent of the number of layers of the sphere. Lastly, the interpretation of coherent multiple-scattering inside a multi-layer sphere in the frequency-domain is commented on.

AB - A general elementary linear system containing two inputs and two outputs is defined, and the behavior of a composite system consisting of a number of elementary systems connected in series is reviewed. In particular, the four proportionality coefficients relating the outputs of the composite system to its inputs have the same formal mathematical structure, independent of the number of elementary systems that are connected together. This composite linear system is then used to model scattering of an electromagnetic plane wave by a singly-coated sphere or a multi-layer sphere. Mirroring the behavior of a general linear system, the partial wave scattering amplitudes and their Debye series representation also have the same formal mathematical structure, independent of the number of layers of the sphere. Lastly, the interpretation of coherent multiple-scattering inside a multi-layer sphere in the frequency-domain is commented on.

KW - Wave scattering; Mie theory; Multiple scattering; Inhomogeneous media

UR - https://engagedscholarship.csuohio.edu/sciphysics_facpub/189

UR - http://www.sciencedirect.com/science/article/pii/S0022407315300789

U2 - 10.1016/j.jqsrt.2015.10.005

DO - 10.1016/j.jqsrt.2015.10.005

M3 - Article

VL - 178

JO - Default journal

JF - Default journal

ER -

Linear System Approach to the Debye Series for Electromagnetic Scattering by a Multi-Layer Sphere: A Tutorial

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