The forward and inverse problems for the scattering of obliquely incident electromagnetic waves in a chiral medium

Feng, Lixin; Wang, Haibing; Zhang, Lei

doi:10.1016/j.jde.2021.02.049

Cited by 4 publications

(2 citation statements)

References 30 publications

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“…In this context, we investigate the scattering problem of obliquely incident electromagnetic waves by an infinitely long scatterer. This configuration has recently garnered significant interest, leading to numerous publications from both mathematicians and applied scientists, see for example [1][2][3][4][5][6][7][8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

The scattering problem of obliquely incident electromagnetic waves by an inhomogeneous infinitely long cylinder

Gintides,

Giogiakas,

Mindrinos

2023

Phys. Scr.

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We study the scattering of a time-harmonic electromagnetic wave incident at an oblique angle on a dielectric, isotropic, and fully inhomogeneous cylinder. This infinitely long cylinder is oriented parallel to the z-axis in three dimensions. Our main focus is on the inverse problem, aiming to reconstruct the refractive index of the cylinder. The material parameters' z-independence allows us to consider the scattering problem only on its horizontal cross-sections. We examine the well-posedness of the direct problem and proceed to numerically solve the corresponding inverse problem for one incident field. To achieve accurate reconstructions of the refractive index, we introduce a novel numerical scheme that yields satisfactory results.

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Section: Introductionmentioning

confidence: 99%

The scattering problem of obliquely incident electromagnetic waves by an inhomogeneous infinitely long cylinder

Gintides,

Giogiakas,

Mindrinos

2023

Phys. Scr.

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“…Machine learning's profound self-learning capabilities have been extensively highlighted in recent literature, pointing towards its potential efficacy in diminishing noise impacts and aptly managing the scattering inversion challenge [8][9][10]. In an attempt to tackle the scattering inversion problem, a synthesis of neural networks with the Tikhonov regularization strategy, termed NEET, was introduced by Li et al, displaying promising outcomes in sparse data environments [11].…”

Section: Introductionmentioning

confidence: 99%

Convolutional Neural Network-Assisted Scattering Inversion in Diverse Noise Environments

Zhuang,

Meng

2023

ATAIML

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In addressing the challenge of obstacle scattering inversion amidst intricate noise conditions, a model predicated on convolutional neural networks (CNN) has been proposed, demonstrating high precision. Five distinct noise scenarios, encompassing Gaussian white noise, uniform distribution noise, Poisson distribution noise, Laplace noise, and impulse noise, were evaluated. Far-field data paired with the Fourier coefficients of obstacle boundary curves were employed as network input and output, respectively. Through the convolutional processes inherent to the CNN, salient features within the far-field data related to obstacles were adeptly identified. Concurrently, the statistical characteristics of the noise were assimilated, and its perturbing effects were diminished, thus facilitating the inversion of obstacle shape parameters. The intrinsic capacity of CNNs to intuitively learn and differentiate salient features from data eradicates the necessity for external intervention or manually designed feature extractors. This adaptability confers upon CNNs a significant edge in tackling obstacle scattering inversion challenges, particularly in light of fluctuating data distributions and feature variability. Numerical experiments have substantiated that the aforementioned CNN model excels in addressing scattering inversion complications within multifaceted noise conditions, consistently delivering solutions with remarkable precision.

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On an artificial neural network for inverse scattering problems

Gao

Liu

Wang

et al. 2022

Journal of Computational Physics

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The forward and inverse problems for the scattering of obliquely incident electromagnetic waves in a chiral medium

Cited by 4 publications

References 30 publications

The scattering problem of obliquely incident electromagnetic waves by an inhomogeneous infinitely long cylinder

The scattering problem of obliquely incident electromagnetic waves by an inhomogeneous infinitely long cylinder

Convolutional Neural Network-Assisted Scattering Inversion in Diverse Noise Environments

On an artificial neural network for inverse scattering problems

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