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Main Authors: Ahmed, Waqas, Illahi, Ahsan, Asma
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.05384
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author Ahmed, Waqas
Illahi, Ahsan
Asma
author_facet Ahmed, Waqas
Illahi, Ahsan
Asma
contents The effects on the bistatic echo width of an elliptical cylinder due to a perfect magnetic material are reported in this article. The configuration is analyzed using the separation of variables method and Mathieu functions. In this approach, the structural geometry is illuminated by an electromagnetic field. Radial and angular Mathieu functions have been used in the formulation. Notably, the maxima of the scattered elliptic transfer electric mode ($θ= 180^{\circ}$) are much higher than those of the scattered transfer magnetic mode, comparable to terms $θ= 120^{\circ}$ and $θ= 240^{\circ}$, respectively. It can be observed that an increase in the in-plane radial component leads to the linearity principle for the transfer electric mode, while non-linear behavior is investigated for the elliptic transfer magnetic mode. Therefore, the unidirectional bistatic echo width is subject to non-directional behavior. These analogous results may have applications in the fields of optics, meteorology, acoustics, radio astronomy, collision physics, and other disciplines where wave scattering phenomena play a crucial role. Furthermore, the findings of this study contribute to the fundamental understanding of electromagnetic interactions with complex geometries and materials
format Preprint
id arxiv_https___arxiv_org_abs_2512_05384
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Response of Elliptical Scatterer Due to Perfect Magnetic Material
Ahmed, Waqas
Illahi, Ahsan
Asma
Applied Physics
The effects on the bistatic echo width of an elliptical cylinder due to a perfect magnetic material are reported in this article. The configuration is analyzed using the separation of variables method and Mathieu functions. In this approach, the structural geometry is illuminated by an electromagnetic field. Radial and angular Mathieu functions have been used in the formulation. Notably, the maxima of the scattered elliptic transfer electric mode ($θ= 180^{\circ}$) are much higher than those of the scattered transfer magnetic mode, comparable to terms $θ= 120^{\circ}$ and $θ= 240^{\circ}$, respectively. It can be observed that an increase in the in-plane radial component leads to the linearity principle for the transfer electric mode, while non-linear behavior is investigated for the elliptic transfer magnetic mode. Therefore, the unidirectional bistatic echo width is subject to non-directional behavior. These analogous results may have applications in the fields of optics, meteorology, acoustics, radio astronomy, collision physics, and other disciplines where wave scattering phenomena play a crucial role. Furthermore, the findings of this study contribute to the fundamental understanding of electromagnetic interactions with complex geometries and materials
title Response of Elliptical Scatterer Due to Perfect Magnetic Material
topic Applied Physics
url https://arxiv.org/abs/2512.05384