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A direct sampling method (DSM) is designed herein for a real-time detection of small anomalies from scattering parameters measured by a small number of dipole antennas. Applicability of the DSM is theoretically demonstrated by proving that…

Numerical Analysis · Mathematics 2019-07-19 Won-Kwang Park , Kwang-Jae Lee , Seong-Ho Son

We present an imaging technique particularly suited to the detection of a target embedded in a strongly scattering medium. Classical imaging techniques based on the Born approximation fail in this kind of configuration because of multiply…

Classical Physics · Physics 2009-08-21 Alexandre Aubry , Arnaud Derode

In passive radar, a network of distributed sensors exploit signals from so-called Illuminators-of-Opportunity to detect and localize targets. We consider the case where the IO signal is available at each receiver node through a reference…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Mats Viberg , Daniele Gerosa , Tomas McKelvey , Patrik Dammert , Thomas Eriksson

In this paper, the approach for considering fast charged particles scattering on targets of complex structure, which contains some isolated substructures, was expanded to account quadratic potential terms. Based on this approach, the…

Quantum Physics · Physics 2025-11-25 Viktoriia Omelchenko

We have employed the first-principles approach to compute the effective response of composites of graded spherical particles of arbitrary conductivity profiles. We solve the boundary-value problem for the polarizability of the graded…

Materials Science · Physics 2007-05-23 K. W. Yu , G. Q. Gu

As a step toward satisfactory understanding of the quantum dynamics of Dirichlet \break (D-) particles, the amplitude for the basic process describing the scattering of two quantized D-particles is computed in bosonic string theory. The…

High Energy Physics - Theory · Physics 2007-05-23 Yoichi Kazama

We investigate the potential of mutual scattering, i.e., light scattering with multiple properly phased incident beams, as a method to extract structural information from inside an opaque object. In particular, we study how sensitively the…

Optics · Physics 2023-06-19 Minh Duy Truong , Ad Lagendijk , Willem L. Vos

We introduce a numerical method that enables efficient modelling of light scattering by large, disordered ensembles of non-spherical particles incorporated in stratified media, including when the particles are in close vicinity to each…

We report on a new experimental platform for the measurement of absolute scattering cross-sections. The target atoms are trapped in an optical dipole trap and are exposed to an incident particle beam. The exponential decay of the atom…

Atomic Physics · Physics 2010-11-04 P. Würtz , T. Gericke , A. Vogler , H. Ott

Accurate, high-resolution, and real-time DOA estimation is a cornerstone of environmental perception in automotive radar systems. While sparse signal recovery techniques offer super-resolution and high-precision estimation, their…

Signal Processing · Electrical Eng. & Systems 2026-02-19 Longxin Bai , Jingchao Zhang , Liyan Qiao

The stability and convergence analysis of high-order numerical approximations for the one- and two-dimensional nonlocal wave equations on unbounded spatial domains are considered. We first use the quadrature-based finite difference schemes…

Numerical Analysis · Mathematics 2022-11-09 Jihong Wang , Jerry Zhijian Yang , Jiwei Zhang

Realistic modeling of scattering from curved metallic bodies - such as vehicles and roadside structures - is essential for cellular and vehicular channel modeling as well as radar applications. A practical approach is to approximate curved…

Signal Processing · Electrical Eng. & Systems 2026-04-08 Ainur Ziganshin , Enrico M. Vitucci , Wim Kotterman , Reiner Thomae , Christian Schneider , Vittorio Degli-Esposti

The generalization of the conformal scattering method for small-angle scattering processes involving magnetic monopoles and ordinary charges is constructed. Using this generalization we show that introducing of magnetic charges corresponds…

Quantum Physics · Physics 2015-06-26 M. Penttinen

We provide an end-to-end differentially private spectral algorithm for learning LDA, based on matrix/tensor decompositions, and establish theoretical guarantees on utility/consistency of the estimated model parameters. The spectral…

Machine Learning · Statistics 2020-01-20 Christopher DeCarolis , Mukul Ram , Seyed A. Esmaeili , Yu-Xiang Wang , Furong Huang

We obtain the harmonic measure of diffusion-limited aggregate (DLA) clusters using a biased random-walk sampling technique which allows us to measure probabilities of random walkers hitting sections of clusters with unprecedented accuracy;…

Statistical Mechanics · Physics 2015-05-13 D. A. Adams , L. M. Sander , E. Somfai , R. M. Ziff

The radiative transfer equation (RTE) arises in many different areas of science and engineering. In this paper, we propose and investigate a discrete-ordinate discontinuous-streamline diffusion (DODSD) method for solving the RTE, which is a…

Numerical Analysis · Mathematics 2016-11-23 Cheng Wang , Qiwei Sheng , Weimin Han

We present a computational study of diffusion synthetic acceleration (DSA) for the monoenergetic, isotropically scattering $S_N$ transport equations, discretised in space by a polytopic discontinuous Galerkin method. Using a discrete…

Numerical Analysis · Mathematics 2026-04-22 Ansar Calloo , Matthew Evans , François Madiot , Tristan Pryer

We formulate a finite-difference time-domain (FDTD) approach to simulate electromagnetic wave scattering from scatterers embedded in layered dielectric or dispersive media. At the heart of our approach is a derivation of an equivalent…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Lingxiao Zhang , Tamar Seideman

Discriminant analysis (DA) is one of the most popular methods for classification due to its conceptual simplicity, low computational cost, and often solid performance. In its standard form, DA uses the arithmetic mean and sample covariance…

Methodology · Statistics 2026-05-12 Mia Hubert , Jakob Raymaekers , Peter J. Rousseeuw

Quadratic discriminant analysis (QDA) is a standard tool for classification due to its simplicity and flexibility. Because the number of its parameters scales quadratically with the number of the variables, QDA is not practical, however,…

Methodology · Statistics 2018-09-06 Binyan Jiang , Xiangyu Wang , Chenlei Leng