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The scattering of scalar waves by a set of scatterers is considered. It is proven that the scattered field can be represented as an integral supported by any smooth surface enclosing the scatterers. This is a generalization of the series…

Mathematical Physics · Physics 2024-10-22 Didier Felbacq , Anthony Gourdin , Emmanuel Rousseau

Layover separation has been fundamental to many synthetic aperture radar applications, such as building reconstruction and biomass estimation. Retrieving the scattering profile along the mixed dimension (elevation) is typically solved by…

Signal Processing · Electrical Eng. & Systems 2021-07-07 Yuanyuan Wang , Xiao Xiang Zhu

Electromagnetic scattering in accelerating reference frames inspires a variety of phenomena, requiring employment of general relativity for their description. While the quasi-stationary field analysis could be applied to slowly-accelerating…

Classical Physics · Physics 2017-02-21 Vitali Kozlov , Dmitrii Filonov , Yefim Yankelevich , Pavel Ginzburg

A new method of path averaging for waves propagating in a random dilute system of identical scatterers is developed. The scattering matrix of such a system is calculated. The method systematically takes into account repeating scatterings on…

Condensed Matter · Physics 2009-10-30 V. S. Podolsky , A. A. Lisyansky

A polarimetric synthetic aperture radar (PolSAR) system, which uses multiple images acquired with different polarizations in both transmission and reception, has the potential to improve the description and interpretation of the observed…

Signal Processing · Electrical Eng. & Systems 2025-07-08 Dehbia Hanis , Luca Pallotta , Augusto Aubry , Aichouche Belhadj-Aissa , Antonio De Maio

In this paper, we propose a convex optimization-based estimation of sparse and smooth power spectral densities (PSDs) of complex-valued random processes from mixtures of realizations. While the PSDs are related to the magnitude of the…

Signal Processing · Electrical Eng. & Systems 2024-01-23 Hiroki Kuroda , Daichi Kitahara , Eiichi Yoshikawa , Hiroshi Kikuchi , Tomoo Ushio

Precision spectroscopy of solid-state systems is challenging due to inhomogeneous broadening. We describe a technique -- coherent quantum beats -- that enables the measurement of small frequency shifts within an inhomogeneously broadened…

Atomic Physics · Physics 2023-07-04 Harish D. Ramachandran , Julia E. Ford , Amar C. Vutha

We describe here an experimental technique based on the acoustic scattering phenomenon allowing the direct probing of the vorticity field in a turbulent flow. Using time-frequency distributions, recently introduced in signal analysis…

chao-dyn · Physics 2009-10-31 Christophe Baudet , Olivier Michel , William J. Williams

We analyze collisional decoherence of atoms or molecules prepared in a coherent superposition of nondegenerate internal states at ultralow temperatures and placed in an ultracold buffer gas. Our analysis is applicable for an arbitrary bath…

Quantum Physics · Physics 2015-05-14 C. J. Hemming , R. V. Krems

The Main Aim of this paper is to explain the emergence of new components of pulsars at higher radio bands by implementing the Inverse Compton Scattering Mechanism. From pulsar radio observation, it is seen that a couple of pulsars reveal…

High Energy Astrophysical Phenomena · Physics 2026-01-19 Tridib Roy , Mayuresh Surnis , Mageshwaran Tamilan , Monalisa Halder , Siddhartha Biswas

Compact radio sources such as pulsars and FRBs undergo scintillation in the interstellar medium (ISM) when scattered images interfere at the observer. ``Scintillometry'' refers to the range of techniques to extract astrometric information…

High Energy Astrophysical Phenomena · Physics 2026-01-30 Dylan L. Jow , Delon Shen

Estimation of the covariance structure of spatial processes is of fundamental importance in spatial statistics. In the literature, several non-parametric and semi-parametric methods have been developed to estimate the covariance structure…

Methodology · Statistics 2016-11-06 Shu Yang , Zhengyuan Zhu

We present a machine learning model for the analysis of randomly generated discrete signals, modeled as the points of an inhomogeneous, compound Poisson point process. Like the wavelet scattering transform introduced by Mallat, our…

Statistics Theory · Mathematics 2021-10-12 Michael Perlmutter , Jieqian He , Matthew Hirn

We study scattering for the linear Helmholtz operator in two dimensions and develop a technique, which can be used to ascertain scattering of a given incident wave from very regular inhomogeneities. This technique is then applied to a…

Analysis of PDEs · Mathematics 2025-07-21 Narek Hovsepyan , Michael S. Vogelius

The Sudden Approximation is applied to invert structural data on randomly corrugated surfaces from inert atom scattering intensities. Several expressions relating experimental observables to surface statistical features are derived. The…

Materials Science · Physics 2016-08-31 Daniel A. Lidar

The role of inhomegeneity in determining the properties of correlated electron systems is poorly understood because of the dearth of structural probes of disorder at the nanoscale. Advances in both neutron and x-ray scattering…

Strongly Correlated Electrons · Physics 2025-03-19 Raymond Osborn , Damjan Pelc , Matthew Krogstad , Stephan Rosenkranz , Martin Greven

We propose an analytical framework based on stochastic geometry (SG) formulations to estimate a radar's detection performance under generalized discrete clutter conditions. We model the spatial distribution of discrete clutter scatterers as…

Signal Processing · Electrical Eng. & Systems 2022-01-21 Shobha Sundar Ram , Gaurav Singh , Gourab Ghatak

The theory of incoherent nuclear resonant scattering of synchrotron radiation accompanied by absorption or emission of phonons in a crystal lattice is developed. The theory is based on the Maxwell's equations and time-dependent quantum…

Materials Science · Physics 2007-05-23 V. G. Kohn , A. I. Chumakov

We consider imaging the reflectivity of scatterers from intensity-only data recorded by a single moving transducer that both emits and receives signals, forming a synthetic aperture. By exploiting frequency illumination diversity, we obtain…

Computational Physics · Physics 2019-05-15 Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka

In this paper, we present a nonparametric method to estimate the heterogeneity of a random medium from the angular distribution of intensity transmitted through a slab of random material. Our approach is based on the modeling of forward…

Data Analysis, Statistics and Probability · Physics 2012-02-06 Nicolas Le Bihan , Ludovic Margerin
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