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A transient Mie-like solution for acoustic scattering from a spherical object is derived within a mesh-free and singularity-free Time Domain Integral Equation (TDIE) framework for the sound-soft, sound-rigid and penetrable cases. The method…

Computational Physics · Physics 2017-03-08 Jie Li , Daniel Dault , Balasubramaniam Shanker

Full waveform inversion (FWI) updates the subsurface model from an initial model by comparing observed and synthetic seismograms. Due to high nonlinearity, FWI is easy to be trapped into local minima. Extended domain FWI, including…

Numerical Analysis · Mathematics 2024-08-28 Pengliang Yang , Wei Zhou

This paper introduces a novel numerical method for the inverse problem of electroencephalography(EEG). We pose the inverse EEG problem as an optimal control (OC) problem for Poisson's equation. The optimality conditions lead to a…

Numerical Analysis · Mathematics 2022-04-15 M. S. Malovichko , N. B. Yavich , A. M. Razorenova , N. A. Koshev

This paper presents a technique, combining the integral equations (IE) and the Generalized Sheet Transition Conditions (GSTCs) with bianisotropic susceptibility tensors, to compute electromagnetic wave scattering by cylindrical metasurfaces…

Computational Physics · Physics 2019-06-26 Mojtaba Dehmollaian , Nima Chamanara , Christophe Caloz

A time domain electric field volume integral equation (TD-EFVIE) solver is proposed for analyzing electromagnetic scattering from dielectric objects with Kerr nonlinearity. The nonlinear constitutive relation that relates electric flux and…

Computational Engineering, Finance, and Science · Computer Science 2024-05-22 Sadeed Bin Sayed , Rui Chen , Huseyin Arda Ulku , Hakan Bagci

The Scaled Boundary Finite Element Method is a novel semi-analytical method jointly developed by Chongmin Song and John P Wolf to solve problems in elastodynamics and allied problems in civil engineering. This novel method has been recently…

Computational Physics · Physics 2007-05-23 V. S. Prasanna Rajan

This paper proposes a new boundary integral equation (BIE) methodology based on the perfectly matched layer (PML) truncation technique for solving the electromagnetic scattering problems in a multi-layered medium. Instead of using the…

Numerical Analysis · Mathematics 2024-01-30 Gang Bao , Wangtao Lu , Tao Yin , Lu Zhang

We present HELIOS (HomogEneous and Layered medIa Optical Scattering), an open-source surface integral equation (SIE) software designed for modeling light scattering by particles embedded in homogeneous or layered media and periodic…

Optics · Physics 2026-02-27 Parmenion S. Mavrikakis , Olivier J. F. Martin

Processes of the secondary electron emission (SEE) from the walls are included into the Numerical Advanced Model of Electron Cyclotron Resonance Ion Sources (NAM-ECRIS). It is found that SEE strongly influences electron confinement time and…

Plasma Physics · Physics 2022-07-06 V. Mironov , S. Bogomolov , A. Bondarchenko , A. Efremov , V. Loginov , D. Pugachev

The high-luminosity requirement in future lepton colliders imposes a need for a high-intensity positron source. In the conventional scheme, positron beams are obtained by the conversion of bremsstrahlung photons into electron-positron pairs…

The electromagnetic behavior of plasmonic structures can be predicted after discretizing and solving a linear system of equations, derived from a continuous surface integral equation (SIE) and the appropriate boundary conditions, using a…

Computational Physics · Physics 2015-10-20 Hipolito Gomez-Sousa , Oscar Rubiños-Lopez , Jose Angel Martinez-Lorenzo

The physics case for electron-positron beams at the Future Circular Collider (FCC-ee) is succinctly summarized. The FCC-ee core program involves $e^+e^-$ collisions at $\sqrt{s}$ = 90, 160, 240, and 350 GeV with multi-ab$^{-1}$ integrated…

High Energy Physics - Experiment · Physics 2016-01-26 David d'Enterria

This paper introduces a boundary integral equation for time-harmonic electromagnetic scattering by composite dielectric objects. The formulation extends the classical M\"uller equation to composite structures through the global multi-trace…

Numerical Analysis · Mathematics 2026-01-21 Van Chien Le , Kristof Cools

The rapid evolution of communication technologies has spurred a growing demand for energy-efficient network architectures and performance metrics. Active Reconfigurable Intelligent Surfaces (RIS) are emerging as a key component in green…

Signal Processing · Electrical Eng. & Systems 2024-11-19 Kai Cao , Tao Yu , Jihong Li , Xiaojing Chen , Yanzan Sun , Qingqing Wu , Wen Chen , Shunqing Zhang

In this paper, we investigate different secrecy energy efficiency (SEE) optimization problems in a multiple-input single-output underlay cognitive radio (CR) network in the presence of an energy harvesting receiver. In particular, these…

Intelligent reflecting surfaces (IRSs)-assisted wireless communication promises improved system performance, while posing new challenges in channel estimation (CE) due to the passive nature of the reflecting elements. Although a few CE…

Signal Processing · Electrical Eng. & Systems 2020-09-25 Hibatallah Alwazani , Qurrat-Ul-Ain Nadeem , Anas Chaaban

A novel Gaussian-Sinc mixed basis set for the calculation of the one-electron electronic structure within a uniform magnetic field in three dimensions is presented. The one-electron system is used to demonstrate the utility of this new…

Computational Physics · Physics 2014-11-12 Jonathan L. Jerke , Young Lee , C. J. Tymczak

We consider the variational formulation of the electric field integral equation (EFIE) on bounded polyhedral open or closed surfaces. We employ a conforming Galerkin discretization based on div-conforming Raviart-Thomas boundary elements…

Numerical Analysis · Mathematics 2009-07-31 Alexei Bespalov , Norbert Heuer , Ralf Hiptmair

Mie theory is the classical problem for modeling of light scattering by spherical particles. In this paper, we perform a spherical harmonic analysis of its solution for the induced fields to reveal the physics underlying the resonant…

Optics · Physics 2024-01-10 Yuriy A. Akimov

Modeling the chemical, electric, and thermal transport as well as phase transitions and the accompanying mesoscale microstructure evolution within a material in an electronic device setting involves the solution of partial differential…

Numerical Analysis · Mathematics 2024-09-26 Xiaofeng Xu , Lian Zhang , Yin Shi , Long-Qing Chen , Jinchao Xu