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A method is given for finding small inhomogeneities from surface scattering data. The method consists in localization of the positions and finding the intensities of these small inhomogeneities. The case of acoustic wave scattering is…

Mathematical Physics · Physics 2007-05-23 A. G. Ramm

We apply adaptive sensing techniques to the problem of locating sparse metallic scatterers using high-resolution, frequency modulated continuous wave W-band RADAR. Using a single detector, a frequency stepped source, and a lateral…

We study the polarization properties of elliptical femtosecond-laser-written waveguides arrays. A new analytical model is presented to explain the asymmetry of the spatial transverse profiles of linearly polarized modes in these waveguides.…

We investigate numerically the scattering of waves on discrete graphs. An efficient algorithm is developed to compute the reflection and transmission (spectral) coefficients. We then explore various configurations of input and output leads,…

Mathematical Physics · Physics 2025-08-29 Moysey Brio , Jean-Guy Caputo

We present and experimentally verify a matrix approach for determining how to optimally sculpt an input wavefront both in space and time for any desired wave-control functionality, irrespective of the complexity of the wave scattering. We…

Applied Physics · Physics 2023-08-08 Clément Ferise , Philipp del Hougne , Matthieu Davy

A new method of solution is proposed for solution of the wave equation in one space dimension with continuously-varying coefficients. By considering all paths along which information arrives at a given point, the solution is expressed as an…

Analysis of PDEs · Mathematics 2019-10-11 Jithin D. George , David I. Ketcheson , Randall J. LeVeque

This paper presents a fast wavefield evaluation method for two-dimensional wave scattering problems. The proposed method is based on a modified version of proxy-surface-accelerated interpolative decomposition, making it effective even if…

Numerical Analysis · Mathematics 2025-03-05 Yasuhiro Matsumoto

Modes generally provide an economical description of waves, reducing complicated wave functions to finite numbers of mode amplitudes, as in propagating fiber modes and ideal laser beams. But finding a corresponding mode description for…

Optics · Physics 2019-09-26 David A. B. Miller

Light localization by scattering is a fundamental mechanism driving phase transitions of wave transport in disordered systems. Characterizing the localization length in scattering systems is crucial yet challenging. In this Letter, we…

We present a lattice method for determining scattering phase shifts and mixing angles for the case of an arbitrary number of coupled channels. Previous nuclear lattice effective field theory simulations were restricted to mixing of up to…

Nuclear Theory · Physics 2019-12-12 Lukas Bovermann , Evgeny Epelbaum , Hermann Krebs , Dean Lee

We consider quasi-stationary scattering of interacting bosonic matter waves in one-dimensional waveguides, as they arise in guided atom lasers. We show how the truncated Wigner (tW) method, which corresponds to the semiclassical description…

Quantum Gases · Physics 2016-10-17 Julien Dujardin , Thomas Engl , Juan Diego Urbina , Peter Schlagheck

We consider the inverse elastic scattering problems using the far field data due to one incident plane wave. A simple method is proposed to reconstruct the location and size of the obstacle using different components of the far field…

Analysis of PDEs · Mathematics 2019-04-09 J Liu , X. Liu , J. Sun

The wave properties of complex scattering systems that are large compared to the wavelength, and show chaos in the classical limit, are extremely sensitive to system details. A solution to the wave equation for a specific configuration can…

Disordered Systems and Neural Networks · Physics 2019-12-24 Shukai Ma , Bo Xiao , Ron Hong , Bisrat Addissie , Zachary Drikas , Thomas Antonsen , Edward Ott , Steven Anlage

The interaction between radiation and superconductors is explored in this paper. In particular, the calculation of a plane standing wave scattered by an infinite cylindrical superconductor is performed by solving the Helmholtz equation in…

Superconductivity · Physics 2012-02-23 Miguel C. N. Fiolhais , Hanno Essén

We present a stochastic description of multiple scattering of polarized waves in the regime of forward scattering. In this regime, if the source is polarized, polarization survives along a few transport mean free paths, making it possible…

Data Analysis, Statistics and Probability · Physics 2013-07-19 Jérémie Boulanger , Nicolas le Bihan , Vincent Rossetto

- An algorithm for calculating the radiation field of a charged point particle performing a spiral motion in an infinite cylindrical waveguide with a multilayer side wall is found. The number of layers and their filling is arbitrary. The…

This paper aims at tackling the problem of signal detection in flat-fading channels. In this context, receivers based on the expectation propagation framework appear to be very promising although presenting some critical issues. We develop…

Signal Processing · Electrical Eng. & Systems 2023-06-01 Elisa Conti , Amina Piemontese , Giulio Colavolpe , Armando Vannucci

In optics and photonics, a small number of building blocks, like resonators, waveguides, arbitrary couplings, and parametric interactions, allow the design of a broad variety of devices and functionalities, distinguished by their scattering…

Optics · Physics 2026-02-24 Jonas Landgraf , Vittorio Peano , Florian Marquardt

Rendering volumetric scattering media, including clouds, fog, smoke, and other complex materials, is crucial for realism in computer graphics. Traditional path tracing, while unbiased, requires many long path samples to converge in scenes…

Graphics · Computer Science 2024-04-19 Becky Hu , Xi Deng , Fujun Luan , Miloš Hašan , Steve Marschner

A simple method for some class of inverse obstacle scattering problems is introduced. The observation data are given by a wave field measured on a known surface surrounding unknown obstacles over a finite time interval. The wave is…

Analysis of PDEs · Mathematics 2011-09-21 Masaru Ikehata