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This paper introduces a novel class of indirect boundary integral equation (BIE) formulations for the solution of electromagnetic scattering problems involving smooth perfectly electric conductors (PECs) in three-dimensions. These…

Numerical Analysis · Mathematics 2025-05-29 Juan Burbano-Gallegos , Carlos Pérez-Arancibia , Catalin Turc

Based on the perfectly matched layer (PML) technique, this paper develops a high-accuracy boundary integral equation (BIE) solver for acoustic scattering problems in locally defected layered media in both two and three dimensions. The…

Numerical Analysis · Mathematics 2022-11-03 Wangtao Lu , Liwei Xu , Tao Yin , Lu Zhang

The left-right operator splitting method is studied for the efficient calculation of acoustic fields scattered by arbitrary rough surfaces. Here the governing boundary integral is written as a sum of left- and right-going components, and…

Computational Physics · Physics 2017-08-25 Orsola Rath Spivack , Mark Spivack

In this paper, we consider the scattering theory for acoustic-type equations on non-compact manifolds with a single flat end. Our main purpose is to show an existence result of non-scattering energies. Precisely, we show a Weyl-type lower…

Mathematical Physics · Physics 2023-11-28 Hisashi Morioka , Naotaka Shoji

Mutual collisions between ion-acoustic (IA) solitary waves are studied based on a fully kinetic simulation approach. Two cases, small and large relative velocity, are studied and the effect of trapped electron population on the collision…

Plasma Physics · Physics 2019-03-15 S. M. Hosseini Jenab , F. Spanier , G. Brodin

The mass law is a cornerstone in predicting sound transmission loss, yet it neglects the constraints of causal dispersion. Current causality-based theories, such as the Rozanov limit, are applicable only to one-port reflective absorbers.…

Applied Physics · Physics 2026-04-17 Sichao Qu , Zixiong Yu , Erqian Dong , Min Yang , Nicholas X. Fang

An Integral Equation (IE) based field solver to compute the scattered fields from spatially dispersive metasurfaces is proposed and numerically confirmed using various examples involving physical unit cells. The work is a continuation of…

Applied Physics · Physics 2021-09-21 Tom J. Smy , João G. Nizer Rahmeier , Jordan Dugan , Shulabh Gupta

Observations from the 2012 transit of Venus are used to derive empirical formulae for long and short-range scattered light at locations on the solar disk observed by the Hinode Extreme ultraviolet Imaging Spectrometer (EIS) and the Solar…

Solar and Stellar Astrophysics · Physics 2022-10-26 Peter R. Young , Nicholeen M. Viall

A thin infinitely long elastic shell is stiffened by $J$ in number identical lengthwise ribs distributed uniformly around the circumference and joined to a rod in the center. The 2D model of the substructure is a rigid central mass…

Classical Physics · Physics 2015-12-09 Alexey S. Titovich , Andrew N. Norris

We consider the propagation of acoustic waves in a waveguide containing a penetrable dissipative inclusion. We prove that as soon as the dissipation, characterized by some coefficient $\eta$, is non zero, the scattering solutions are…

Analysis of PDEs · Mathematics 2023-05-23 Lucas Chesnel , Jérémy Heleine , Sergei A. Nazarov , Jari Taskinen

In this Letter we develop analytical formulations to describe sound scattering in lossless medium due to 2D circular wave incident on an acoustic cloak. A perfect acoustic cloak is reflectionless and can completely hide the cloaked object…

Classical Physics · Physics 2012-05-08 Siyang Zhong , Xun Huang

Surface integral equation (SIE) methods are of great interest for the numerical solution of Maxwell's equations in the presence of homogeneous objects. However, existing SIE algorithms have limitations, either in terms of scalability,…

Computational Physics · Physics 2021-06-14 Shashwat Sharma , Piero Triverio

This paper compares machine learning approaches with different input data formats for the classification of acoustic emission (AE) signals. AE signals are a promising monitoring technique in many structural health monitoring applications.…

Signal Processing · Electrical Eng. & Systems 2025-01-03 Uditha Muthumala , Yuxuan Zhang , Luciano Sebastian Martinez-Rau , Sebastian Bader

Superscatterers are known to expand the rigid boundary of an object thereby enhancing the scattering cross section of the object. The design philosophy of the acoustic superscatterers is based on partially-resonant systems in which a…

Applied Physics · Physics 2021-12-14 Vineeth P. Ramachandran , Prabhu Rajagopal

In conventional acoustic scattering theory, a large-distance asymptotic approximation is employed. In this approximation, a far-field pattern, an asymptotic approximation of the exact result, is used to describe a scattering process. The…

Classical Physics · Physics 2018-08-16 Chi-Chun Zhou , Wen-Du Li , Wu-Sheng Dai

An approach is presented for implicit time integration in computations of red blood cell flow by a spectral boundary integral method. The flow of a red cell in ambient fluid is represented as a boundary integral equation (BIE), whose…

Numerical Analysis · Mathematics 2021-09-29 Pei Chuan Chao , Ali Gürbüz , Frederick Sachs , M. V. Sivaselvan

Optoacoustic image formation is conventionally based upon ultrasound time-of-flight readings from multiple detection positions. Herein, we exploit acoustic scattering to physically encode the position of optical absorbers in the acquired…

Biological Physics · Physics 2019-10-30 Xose Luis Dean-Ben , Ali Ozbek , Hernan Lopez-Schier , Daniel Razansky

The concept of scattering coefficients has played a pivotal role in a broad range of inverse scattering and imaging problems in acoustic, and electromagnetic media. In view of their promising applications in inverse problems related to…

Mathematical Physics · Physics 2017-01-17 Tasawar Abbas , Habib Ammari , Guanghui Hu , Abdul Wahab , Jong Chul Ye

We give a principled approach for the selection of a boundary integral, retarded potential representation for the solution of scattering problems for the wave equation in an exterior domain.

Numerical Analysis · Mathematics 2015-04-17 Charles L. Epstein , Leslie Greengard , Thomas Hagstrom

We analyze the well posedness of certain field-only boundary integral equations (BIE) for frequency domain electromagnetic scattering from perfectly conducting spheres. Starting from the observations that (1) the three components of the…

Numerical Analysis · Mathematics 2023-03-28 Luiz Faria , Carlos Perez-arancibia , Catalin Turc