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The problem of the time required for a diffusing molecule, within a large bounded domain, to first locate a small target is prevalent in biological modeling. Here we study this problem for a small spherical target. We develop uniform in…

Biological Physics · Physics 2013-08-06 Samuel A. Isaacson , Jay Newby

Direction-of-arrival (DOA) estimation refers to the process of retrieving the direction information of several electromagnetic waves/sources from the outputs of a number of receiving antennas that form a sensor array. DOA estimation is a…

Information Theory · Computer Science 2017-01-10 Zai Yang , Jian Li , Petre Stoica , Lihua Xie

We introduce a charge coupled device (CCD) camera based detection scheme in dynamic light scattering that provides information on the single-scattered auto-correlation function even for fairly turbid samples. It is based on the single…

Soft Condensed Matter · Physics 2009-11-11 Pavel Zakharov , Suresh Bhat , Peter Schurtenberger , Frank Scheffold

We develop a simple tensorial contraction method to obtain analytical formula for X-ray resonant magnetic scattering. We apply the method considering first electric dipole-dipole and electric quadrupole-quadrupole scattering in the isolated…

Other Condensed Matter · Physics 2007-06-28 Alessandro Mirone

Direction-of-arrival (DoA) is a critical parameter in wireless channel estimation. With the ever-increasing requirement of high data rate and ubiquitous devices in wireless communication systems, effective wideband DoA estimation is…

Signal Processing · Electrical Eng. & Systems 2023-11-21 Xiaorui Ding , Wenbo Xu , Yue Wang

This paper describes a numerical formulation for calculating wave propagation with high precision in a three-dimensional system. Yee's discretization scheme is used to formulate a frequency domain method that is compatible with the…

Computational Physics · Physics 2013-02-21 Tatsuya Usuki

The electromagnetic scattering from elongated, arbitrarily shaped, open-ended cavities have been studied extensively over the years. In this paper we introduce the fast encapsulating domain decomposition (EDD) scheme for the analysis of…

Computational Physics · Physics 2018-01-17 Moti Zelig , Ehud Heyman , Amir Boag

This study revisits the absorption and scattering process by which a massless scalar field impinges on a charged dilatonic black hole. First, we review the classical analysis to obtain the deflection angle and the differential scattering…

General Relativity and Quantum Cosmology · Physics 2022-03-28 Martín G. Richarte , Ébano L. Martins , Júlio C. Fabris

This paper improves the spectrally-filtered direct-insertion downscaling method for discrete-in-time data assimilation by introducing a relaxation parameter that overcomes a constraint on the observation frequency. Numerical simulations…

Numerical Analysis · Mathematics 2026-01-13 Emine Celik , Eric Olson

We obtain a nonperturbative, analytical solution to integral equation of scattering theory by assuming the field within the scattering object is a spherical wave with a scattering amplitude equal to that of the far field. This approximation…

Classical Physics · Physics 2018-09-26 Brian Slovick , Srini Krishnamurthy

We review recent progress on computing scattering amplitudes of planar N=4 super Yang-Mills at strong coupling by using the AdS/CFT duality. We do explicit computations by using both, dimensional regularization and a cut-off in the radial…

High Energy Physics - Theory · Physics 2008-11-26 Luis F. Alday

We recently introduced the dynamical cluster approximation(DCA), a new technique that includes short-ranged dynamical correlations in addition to the local dynamics of the dynamical mean field approximation while preserving causality. The…

Strongly Correlated Electrons · Physics 2009-10-31 M. H. Hettler , M. Mukherjee , M. Jarrell , H. R. Krishnamurthy

We derive dispersion estimates for solutions of the one-dimensional discrete perturbed Dirac equation. To this end we develop basic scattering theory and establish a limiting absorption principle for discrete perturbed Dirac operators.

Spectral Theory · Mathematics 2015-11-11 Elena Kopylova , Gerald Teschl

This paper considers an optimization problem that components of the objective function are available at different nodes of a network and nodes are allowed to only exchange information with their neighbors. The decentralized alternating…

Optimization and Control · Mathematics 2015-11-27 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

We develop a high order reconstructed discontinuous approximation (RDA) method for solving a mixed formulation of the quad-curl problem in two and three dimensions. This mixed formulation is established by adding an auxiliary variable to…

Numerical Analysis · Mathematics 2024-07-12 Ruo Li , Qicheng Liu , Shuhai Zhao

In this study, we investigated the application of the direct sampling method (DSM) to identify small dielectric objects in a limited-aperture inverse scattering problem. Unlike previous studies, we consider the bistatic measurement…

Numerical Analysis · Mathematics 2025-09-16 Won-Kwang Park

Millimeter-wave (mmWave) radar systems, owing to their large bandwidth, provide fine range resolution that enables the observation of multiple scatterers originating from a single automotive target, commonly referred to as an extended…

Signal Processing · Electrical Eng. & Systems 2025-11-21 Vinay Kulkarni , V. V. Reddy

The dynamical cluster approximation (DCA) is a systematic extension beyond the single site approximation in dynamical mean field theory (DMFT), to include spatially non-local correlations in quantum many-body simulations of strongly…

Strongly Correlated Electrons · Physics 2013-11-27 Peter Staar , Thomas Maier , Thomas C. Schulthess

We introduce Pairwise Distance-Diffusion Analysis (PDDA), a geometric framework for estimating the Hurst exponent from distance plots of long-memory stochastic processes. A single construction yields two complementary routes: R/S-PDDA, a…

Methodology · Statistics 2026-05-22 Diogo C. Soriano , Frederique Vanheusden , Slawomir J. Nasuto

We show that naive dimensional analysis (NDA) is equivalent to the result that L-loop scattering amplitudes have perturbative order N=L+Delta, with a shift Delta that depends on the NDA-weight of operator insertions. The NDA weight of an…

High Energy Physics - Phenomenology · Physics 2015-06-17 Elizabeth E. Jenkins , Aneesh V. Manohar , Michael Trott