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In many radar scenarios, the radar target or the medium is assumed to possess randomly varying parts. The properties of a target are described by a random process known as the spreading function. Its second order statistics under the WSSUS…

Information Theory · Computer Science 2015-06-19 Götz E. Pfander , Pavel Zheltov

This paper considers an integrated sensing and communication system, where some radar targets also serve as communication scatterers. A location domain channel modeling method is proposed based on the position of targets and scatterers in…

Signal Processing · Electrical Eng. & Systems 2023-02-06 Wenkang Xu , Yongbo Xiao , An Liu , Minjian Zhao

This paper provides an analysis of radio wave scattering for frequencies ranging from the microwave to the Terahertz band (e.g., 1 GHz - 1 THz), by studying the scattering power reradiated from various types of materials with different…

We develop a theory for waveform-diverse moving-target synthetic-aperture radar, in the case in which a single moving antenna is used for both transmitting and receiving. We assume that the targets (scattering objects) are moving linearly,…

Classical Physics · Physics 2011-05-17 Margaret Cheney , Brett Borden

The general formulas to calculate the phase shifts of wave function of a particle scattering on a target formed by a pair of non-identical zero-range potentials are derived. It is shown that at asymptotically great distances from the target…

Quantum Physics · Physics 2022-06-20 A. S. Baltenkov , I. Woiciechowski

Based on the here developed functional analytic machinery we extend the theory of operator sampling and identification to apply to operators with stochastic spreading functions. We prove that identification with a delta train signal is…

Functional Analysis · Mathematics 2015-05-06 Götz E. Pfander , Pavel Zheltov

In an ultrasonic array system, increasing the aperture size to achieve a high resolution requires more transmit and receive channels, thus making it essential to have an analysis technique that can reconstruct the shape and physical…

Optics · Physics 2025-08-21 Kai Yabumoto , Takayoshi Yumii , Kenjiro Kimura

The quadratic scalar radar equations are obtained for SuperDARN radars that are suitable for the analysis and interpretation of experimental data. The paper is based on a unified approach to the obtaining radar equations for the monostatic…

Geophysics · Physics 2016-10-14 O. I. Berngardt , K. A. Kutelev , A. P. Potekhin

The radar scattering properties of realistic aggregate snowflakes have been calculated using the Rayleigh-Gans theory. We find that the effect of the snowflake geometry on the scattering may be described in terms of a single universal…

Atmospheric and Oceanic Physics · Physics 2015-06-26 C. D. Westbrook , R. C. Ball , P. R. Field

The aim of this paper is to provide and numerically test in the presence of measurement noise a procedure for target classification in wave imaging based on comparing frequency-dependent distribution descriptors with precomputed ones in a…

Analysis of PDEs · Mathematics 2018-06-21 Lorenzo Baldassari

The purpose of this paper is to give some refined results about the distribution of resonances in potential scattering. We use techniques and results from one and several complex variables, including properties of functions of completely…

Spectral Theory · Mathematics 2011-08-02 T. J. Christiansen

This paper outlines a method of obtaining the relation between the singly scattered signal and the Fourier-spectrum of medium dielectric permititvity fluctuations, with due regard for the fact that the scattering volume is determined by…

Atmospheric and Oceanic Physics · Physics 2009-01-09 O. I. Berngardt , A. P. Potekhin

Reverberation chambers (RCs) were recently reported as a low-cost alternative to anechoic chambers (ACs) to perform radar cross-section (RCS) pattern measurements. The method consists of using transmitting and receiving antennas pointing…

In surface diffusion, one of the key observables is the so-called intermediate scattering function which is measured directly from the surface technique called Helium spin echo. In this work, we show that this function can be seen as a…

Statistical Mechanics · Physics 2026-04-17 E. E. Torres-Miyares , S. Miret-Artés

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

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

We study the statistical properties of the complex generalization of Wigner time delay $\tau_\text{W}$ for sub-unitary wave chaotic scattering systems. We first demonstrate theoretically that the mean value of the $\text{Re}[\tau_\text{W}]$…

Disordered Systems and Neural Networks · Physics 2021-11-15 Lei Chen , Steven M. Anlage , Yan V. Fyodorov

We offer a consistent dynamical formulation of stationary scattering in two and three dimensions that is based on a suitable multidimensional generalization of the transfer matrix. This is a linear operator acting in an infinite-dimensional…

Quantum Physics · Physics 2021-10-05 Farhang Loran , Ali Mostafazadeh

In one dimension one can dissect a scattering potential $ v(x) $ into pieces $ v_i(x) $ and use the notion of the transfer matrix to determine the scattering content of $ v(x) $ from that of $ v_i(x) $. This observation has numerous…

Quantum Physics · Physics 2016-05-05 Farhang Loran , Ali Mostafazadeh

Reflection of particles from a disordered or chaotic medium is characterized by a scattering matrix that can be represented as a superposition of resonances. Each resonance corresponds to an eigenstate inside the medium and has a width…

Disordered Systems and Neural Networks · Physics 2025-12-23 M. S. Kurilov , P. M. Ostrovsky
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