Near-field inverse electromagnetic scattering problems for ellipsoids

Athanasiadis, Christodoulos; Athanasiadou, Evagelia S.; Zoi, Stefania; Arkoudis, I.

doi:10.1007/s00033-019-1118-y

Cited by 4 publications

(2 citation statements)

References 12 publications

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“…Il'in et al extended the Rayleigh approximation to non-spherical scatterers and validated it using Chebyshev particles [116]. Athanasiadis et al utilized the low-frequency formula of the Rayleigh approximation to solve the inverse electromagnetic scattering problem using the near field data for dielectric ellipsoids [117]. Recently, in 2020, the method was expanded to laminar ellipsoids [118] and elastic ellipsoids [118] and elastic ellipsoids [119].…”

Section: ) Rayleigh Approximationmentioning

confidence: 99%

A Comprehensive Review on Study Methods of Aerosol Optical Properties in Different Dimensions

2023

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A comprehensive understanding of the optical properties of atmospheric aerosol is essential for a variety of applications, such as optical imaging, optical communication, and remote sensing. In recent years, many theories and numerical simulation methods have been developed to connect aerosol physicalchemical properties to their intrinsic and integral optical properties. Usually, simulations and measurements are intertwined to synergistically attain the retrieval of aerosol optical properties and mitigate or even eliminate the adverse impacts of aerosol during imaging, sensing, or communication. This review covers the fundamental theories of aerosol optical properties, the development of numerical simulations, the instrumentbased sampling measurements, and the cutting-edge techniques of remote sensing. Numerical simulations have been progressing from symmetric particles to asymmetric particles over the past two decades, although any simulation method is limited by specific shape and a restricted size parameter range. Thus, this review also examines the most typical advances in aerosol instrumentation that are frequently used to measure the intrinsic optical properties of unknown aerosols. Such obtained properties validate simulations and constitute the basis of integral optical properties. In terms of practical applications, integral optical properties are the most critical knowledge about atmospheric aerosol. Remote sensing measurements, be it ground-based, airborne, or satellite-based, all retrieve integral optical properties of atmospheric aerosol from various perspectives, which are elaborated upon in this review. In conclusion, this review provides an allencompassing comprehension of aerosol optical properties.

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Section: ) Rayleigh Approximationmentioning

confidence: 99%

A Comprehensive Review on Study Methods of Aerosol Optical Properties in Different Dimensions

2023

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“…It is worth mentioning that these scattering relations can be mainly used in solving inverse scattering problems. In [8] near-field inverse scattering problems for ellipsoid scatterers have been solved.…”

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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