Light scattering by closely spaced parallel cylinders embedded in a semi-infinite dielectric medium

Lee, Siu-Chun; Grzesik, J

doi:10.1364/josaa.15.000163

Cited by 34 publications

(26 citation statements)

References 13 publications

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“…The Hertz potentials of the source incident and reflected waves in medium 1 and transmitted wave in medium 2 are given by [12] …”

Section: A Source Wavesmentioning

confidence: 99%

“…This is because of the interface Fresnel effect that results in the reflection of scattered waves at the boundary, which become secondary incident waves on the cylinder. Scattering by infinite cylinders buried in a semi-infinite or finite nonabsorbing medium has been the subject of many investigations [8][9][10][11][12][13][14][15][16][17][18][19]. Scattering by a single cylinder embedded in an absorbing half-space had been treated by numerical [20,21] and analytical techniques [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

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Scattering by a radially stratified infinite cylinder buried in an absorbing half-space

Lee¹

2013

J. Opt. Soc. Am. A

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This paper presents a theoretical treatment of scattering by a radially stratified infinite cylinder buried in an absorbing, i.e., lossy, half-space. The permeability and refractive index of the host medium and cylinder layers are generally complex. The half-space is irradiated by an arbitrarily polarized plane wave that propagates in the plane perpendicular to the axis of the cylinder. The theoretical formulation rigorously accounts for the Fresnel effect at the half-space interface, interaction of the cylinder with scattered waves that are reflected from the interface, and attenuation of the propagating waves by the host medium. Analytical formulas are derived for the electric and magnetic fields and Poynting vector of the scattered waves emerging from the half-space. Numerical results on backscattering are shown for the cases of a homogeneous and a hollow cylinder buried at various depths in an absorbing half-space.

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“…The Hertz potentials of the source incident and reflected waves in medium 1 and transmitted wave in medium 2 are given by [12] …”

Section: A Source Wavesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Scattering by a radially stratified infinite cylinder buried in an absorbing half-space

Lee¹

2013

J. Opt. Soc. Am. A

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“…The theoretical treatment of scattering at the interface follows that given in [14,15]. The angular distribution of the backscattered wave is formulated by utilizing the expansion [14] exp inγ jP H n ℓ 2 R jP…”

Section: Scattering At the Medium 1-2 Interfacementioning

confidence: 99%

Evanescent wave scattering at off-axis incidence on multiple cylinders located near a surface

Lee

2015

Journal of Quantitative Spectroscopy and Radiative Transfer

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“…14 But to marshall out any such program, even at some intermediate stage short of its full generality, is clearly to unleash a fount of algebraic minutiae best served by a dedicated essay unto themselves. Some indication of how such problems are tackled in terms of axial Hertz potentials can be found in [18], where additional pointers are listed to a supporting literature.…”

Section: A Simple Example: Perpendicular Incidence Upon a Perfectly Cmentioning

confidence: 99%

A Note on the Backward Scattering Theorem

Grzesik¹

2003

PIER

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Abstract-Recent efforts by C.-T. Tai to emphasize backward scattering within the makeup of the optical theorem are examined here from first principles. The present work exploits spectral field representations and a common asymptotic procedure so as to build up both the scattered fields and their contribution to the extinction integral. The result of all this is to reaffirm the strictly forward scattering nature of the optical theorem as commonly understood, while at the same time reconciling it with a backward scattering interpretation. The backward scattering, it so turns out, is backward in reciprocal space, wherein it affects the Fourier transform of the currents induced throughout the scattering object. The standard forward scattering attribute of the optical theorem, forward in the context of actual space, remains unimpaired. In truth, however, the backward spectral attribute is a mere technical formality, made available for only one of the two signature options which one can exercise when making specific the details of transformation. The alternate signature option leads to a forward appearance in spectral space also, with the actual value of the current transform appearing in the optical theorem quite intact. We develop these results in detail and then, for completeness, summarize the special form which they adopt for scattering obstacles with axial symmetry.

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Light scattering by closely spaced parallel cylinders embedded in a semi-infinite dielectric medium

Cited by 34 publications

References 13 publications

Scattering by a radially stratified infinite cylinder buried in an absorbing half-space

Scattering by a radially stratified infinite cylinder buried in an absorbing half-space

Evanescent wave scattering at off-axis incidence on multiple cylinders located near a surface

A Note on the Backward Scattering Theorem

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