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In this work we present a method for generating random matrices describing electromagnetic scattering from disordered media containing dielectric particles with prescribed single particle scattering characteristics. Resulting scattering…

Optics · Physics 2022-12-15 Niall Byrnes , Matthew R. Foreman

We describe a numerical model for the interaction of light with large raindrops using realistic nonspherical drop shapes. We apply geometrical optics and a Monte Carlo technique to perform ray traces through the drops. We solve the problem…

Atmospheric and Oceanic Physics · Physics 2009-11-07 Oliver N. Ross , Stuart G. Bradley

The transition-matrix ($T$-matrix) approach provides a general formalism to study scattering problems in various areas of physics, including acoustics (scalar fields) and electromagnetics (vector fields), and is related to the theory of the…

Optics · Physics 2016-02-08 Eric C. Le Ru , Walter R. C. Somerville , Baptiste Auguié

To study how geometrical shape affect the light scattering properties for an ensemble of randomly orientated particles, the single scattering matrices including complete polarization information are calculated statistically for a group of…

Atmospheric and Oceanic Physics · Physics 2026-04-13 Quan Mu

The one- and two-photon scattering matrix S is obtained analytically for a one-dimensional waveguide and a point-like scatterer with N excited levels (generalized V -type atom). We argue that the two-photon scattering matrix contains…

We consider wave scattering from a system of highly contrasting resonators with time-modulated material parameters. In this setting, the wave equation reduces to a system of coupled Helmholtz equations that models the scattering problem. We…

Mathematical Physics · Physics 2024-01-05 Habib Ammari , Jinghao Cao , Erik Orvehed Hiltunen , Liora Rueff

A formalism is introduced for the non-perturbative, purely numerical, solution of the reduced Rayleigh equation for the scattering of light from two-dimensional penetrable rough surfaces. As an example, we apply this formalism to study the…

Optics · Physics 2012-05-03 Tor Nordam , Paul Anton Letnes , Ingve Simonsen

Compton scattering of twisted photons is investigated within a non-relativistic framework using first-order perturbation theory. We formulate the problem in the density matrix theory, which enables one to gain new insights into scattering…

Atomic Physics · Physics 2015-07-03 S. Stock , A. Surzhykov , S. Fritzsche , D. Seipt

Scattering of light by the photonic clusters made of small particles is studied with the help of the quasiperiodicity condition and the local perturbation method. The analytical expression for the field scattered by the cluster is presented…

Optics · Physics 2015-05-14 V. V. Prosentsov

We present application examples of a graphical method for the efficient construction of potential matrix elements in quantum physics or quantum chemistry. The simplicity and power of this method are illustrated through several examples. In…

Quantum Physics · Physics 2012-01-18 J. B. Wang , A. T. Stelbovics

The transmission matrix (TM) is a representation to describe the light scattering process through a scattering medium. The degree of control elements in TM is correlated with the capacity of evaluating enormous equations with tremendous…

Optics · Physics 2020-11-25 Shu Guo , Hao Zhang , Wenxue Li , Lin Pang

The study of nuclear and subnuclear structure by means of photon scattering is outlined. Besides a brief exposition of the formalism a few illustrative examples are discussed.

Nuclear Theory · Physics 2017-11-22 Hartmuth Arenhövel

We study the scattering of photons from periodically modulated quantum-optical systems. For excitation-number conserving quantum optical systems, we connect the analytic structure of the frequency-domain N-photon scattering matrix of the…

Quantum Physics · Physics 2020-09-16 Rahul Trivedi , Alex White , Shanhui Fan , Jelena Vuckovic

We discuss the scattering of a light pulse by a single atom in free space using a purely semi-classical framework. The atom is treated as a linear elastic scatterer allowing to treat each spectral component of the incident pulse separately.…

Quantum Physics · Physics 2013-10-01 Markus Sondermann , Gerd Leuchs

A method for automatic computation of parameter derivatives of numerically computed light scattering signals is demonstrated. The finite-element based method is validated in a numerical convergence study, and it is applied to investigate…

Optics · Physics 2013-04-17 S. Burger , L. Zschiedrich , J. Pomplun , F. Schmidt , B. Bodermann

The algebraic approach to the phase problem for the case of X-ray scattering from an ideal crystal is extended to the case of the neutron scattering, overcoming the difficulty related to the non-positivity of the scattering density. In this…

Mathematical Physics · Physics 2007-05-23 A. Cervellino , S. Ciccariello

The computation of light scattering by the superposition T-matrix scheme has been so far restricted to systems made of particles that are either sparsely distributed or of near-spherical shape. In this work, we extend the range of…

Optics · Physics 2017-09-20 Dominik Theobald , Amos Egel , Guillaume Gomard , Uli Lemmer

Modeling the propagation of light through disordered media is central to understanding and controlling wave transport in diverse optical and mesoscopic applications. Here, we present a random matrix simulation framework for modeling the…

Optics · Physics 2026-02-24 Niall Byrnes , Sulagna Dutta , Matthew R. Foreman

We review experimental and theoretical studies of coherent backscattering of near resonant radiation from an ultracold atomic gas in the weak localization regime. Recent accomplishments in high resolution spectroscopy of atomic ensembles…

Atomic Physics · Physics 2017-02-01 I. M. Sokolov , D. V. Kupriyanov , C. I. Sukenik , M. D. Havey