Mathematical modeling of electromagnetic radiations incident on a symmetric slit with Leontovich conditions in an-isotropic medium

Hussain, Sajjad

doi:10.1080/17455030.2023.2180606

Waves in Random and Complex Media

2023

DOI: 10.1080/17455030.2023.2180606

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Mathematical modeling of electromagnetic radiations incident on a symmetric slit with Leontovich conditions in an-isotropic medium

Sajjad Hussain

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Cited by 3 publications

References 24 publications

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Mathematical analysis of acoustic wave interaction of vibrating rigid plates with subsonic flows

Hussain,

Nawaz,

Bibi

2024

Math Methods in App Sciences

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This research article investigates the effects of object's vibration and fluid movement on the acoustics of subsonic flows, specifically focusing on the scattering of acoustic waves by a vibrating rigid plate submerged in uniform flow. The acoustic plane wave that impacts the plate, coupled with its oscillatory motion, causes a disruption in the fluid medium. This disturbance, in turn, gives rise to a Rayleigh wave that propagates along the boundary separating the plate and the fluid. The study uses the Wiener‐Hopf technique to analytically model the acoustic scattering by a rigid barrier of finite dimensions and analyze the relationship between acoustics and structures. The method involves applying Fourier transformations to the governing boundary value problem and resolving the Wiener‐Hopf equations using the factorization theorem, Liouville's theorem, and analytical continuation. The integral equations of scattered potential computed asymptotically are used to describe the acoustic characteristics of structures and their interaction with fluid flow in subsonic conditions. The findings of the study reveal the sharp peaks of the scattered potential at certain angles with more oscillation in high subsonic flow. Also, increasing the frequency of the vibrating plate increases the amplitude of the scattered potential but is attenuated in mean flow whereas enhancing plate vibrations amplifies the scattered sound, and it is more vibrant in high subsonic flow than mean flow and no fluid flow. This research has applications in noise reduction, aeronautical engineering, and the detection of underwater structures using acoustic waves and micropolar elastic media.

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Mathematical analysis of acoustic wave interaction of vibrating rigid plates with subsonic flows

Hussain,

Nawaz,

Bibi

2024

Math Methods in App Sciences

View full text Add to dashboard Cite

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A mathematical study of electromagnetic waves diffraction by a slit in non-thermal plasma

Hussain,

Javaid,

Alahmadi

et al. 2023

Opt Quant Electron

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Analysis of noise attenuation through soft vibrating barriers: an analytical investigation

Alkinidri

Hussain

Nawaz

2023

MATH

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<abstract><p>In this article, the impact of fluid flow and vibration on the acoustics of a subsonic flow is examined. Specifically, it focuses on the noise generated by a convective gust in uniform flow that is scattered by a vibrating plate of limited size. The study analyzes the interaction between acoustics and structures by considering the scattering of sound waves by a soft finite barrier. To achieve this, the Wiener-Hopf technique is utilized for the analytical treatment of the acoustic model. The approach involves performing temporal and spatial Fourier transforms on the governing convective boundary value problem, then formulating the resulting Wiener-Hopf equations. The product decomposition theorem, an extended version of Liouville's theorem, and analytic continuation are employed to solve these equations. Finally, the scattered potential integral equations are computed asymptotically. This study can be significant for understanding the acoustic properties of structures and how they interact with fluid flow in subsonic environments, which could have applications in fields such as aerospace engineering, noise reduction, and structural acoustics.</p></abstract>

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Mathematical modeling of electromagnetic radiations incident on a symmetric slit with Leontovich conditions in an-isotropic medium

Cited by 3 publications

References 24 publications

Mathematical analysis of acoustic wave interaction of vibrating rigid plates with subsonic flows

Mathematical analysis of acoustic wave interaction of vibrating rigid plates with subsonic flows

A mathematical study of electromagnetic waves diffraction by a slit in non-thermal plasma

Analysis of noise attenuation through soft vibrating barriers: an analytical investigation

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