Scattering Relations for Two-Dimensional Electromagnetic Waves in Chiral Media

Athanasiadis, Christodoulos; Athanasiadou, Evagelia S.; Roupa, Paraskevi

doi:10.4236/jamp.2022.104085

Cited by 5 publications

(2 citation statements)

References 20 publications

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“…Concerning the two-dimensional case, reciprocity and other scattering relations have been stated and proved in [1]. In [20], reciprocity, general and optical relations for chiral obstacles are established.…”

Section: Introductionmentioning

confidence: 99%

On the Far Field Pattern for Acoustic Scattering by a Piecewise Homogeneous Obstacle in Two Dimensions

Athanasiadou¹,

Roupa²

2022

JAMP

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A time-harmonic plane acoustic wave is scattered by a piecewise homogeneous obstacle with a penetrable or impenetrable core. We construct in the close form an integral representation for the far field pattern in which we have incorporated the physical and geometrical characteristics of the scatterer. Through this representation, we obtain the far field pattern for this scatterer. We prove scattering relations between the far field patterns of two scattering problems due to two distinct incident waves on the same scatterer. In particular, we prove reciprocity and general scattering theorems. The optical theorem, connecting the total power that the scatterer extracts from the incident plane wave either by radiation or by absorption with the corresponding far field pattern of an incident plane wave, is recovered as a corollary of the general scattering theorem. Moreover, if we consider incident waves to be both a plane and a spherical, we derive a mixed reciprocity theorem. We define the corresponding far field operators and using these relations, we prove some properties that can be used for solving inverse scattering problems.

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Section: Introductionmentioning

confidence: 99%

On the Far Field Pattern for Acoustic Scattering by a Piecewise Homogeneous Obstacle in Two Dimensions

Athanasiadou¹,

Roupa²

2022

JAMP

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“…Two-dimensional scattering theorems have been proven in [3,19]. In [20], plane electromagnetic scattering is studied, whereas in [21] line source elastic waves are studied. In [22], a mixed reciprocity principle is proven in two dimensions.…”

Section: Introductionmentioning

confidence: 99%

Two-Dimensional Scattering of Line Source Electromagnetic Waves by a Layered Obstacle

Athanasiadis,

Roupa

2023

Mathematics

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We consider the scattering problem of line source electromagnetic waves using a multi-layered obstacle with a core, which may be a perfect conductor, a dielectric, or has an impedance surface. We formulate this problem in two dimensions and we prove some useful scattering relations. In particular, we state and prove a reciprocity principle and a general scattering theorem for line source waves for any possible positions of the source. These theorems can be used to approximate the far-field pattern in the low-frequency theory. Moreover, an optical theorem is recovered as a corollary of the general scattering theorem. Finally, we obtain a mixed reciprocity relation which can be used in proving the uniqueness results of the inverse scattering problems.

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Detection of Buried Chiral Objects Using Electromagnetic Scattering in Two Dimensions

Athanasiadis

Roupa

2022

2022 12th International Conference on Dependable Systems, Services and Technologies (DESSERT)

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Scattering Relations for Two-Dimensional Electromagnetic Waves in Chiral Media

Cited by 5 publications

References 20 publications

On the Far Field Pattern for Acoustic Scattering by a Piecewise Homogeneous Obstacle in Two Dimensions

On the Far Field Pattern for Acoustic Scattering by a Piecewise Homogeneous Obstacle in Two Dimensions

Two-Dimensional Scattering of Line Source Electromagnetic Waves by a Layered Obstacle

Detection of Buried Chiral Objects Using Electromagnetic Scattering in Two Dimensions

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