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We consider the scattering theory for the defocusing energy subcritical wave equations with an inverse square potential. By employing the energy flux method we establish energy flux estimates on the light cone. Then by the characteristic…

Analysis of PDEs · Mathematics 2024-04-23 Changxing Miao , Ruipeng Shen , Tengfei Zhao

In this paper we present a hybrid approach to numerically solve two-dimensional electromagnetic inverse scattering problems, whereby the unknown scatterer is hosted by a possibly inhomogeneous background. The approach is `hybrid' in that it…

Analysis of PDEs · Mathematics 2012-10-22 G. Giorgi , M. Brignone , R. Aramini , M. Piana

A general machine learning architecture is introduced that uses wavelet scattering coefficients of an inputted three dimensional signal as features. Solid harmonic wavelet scattering transforms of three dimensional signals were previously…

Computational Physics · Physics 2019-01-30 Xavier Brumwell , Paul Sinz , Kwang Jin Kim , Yue Qi , Matthew Hirn

We propose an analytical scattering theory in spectral domain to model the electromagnetic (EM) fields of a gyrotropic sphere in terms of the eigen-functions and their associated spectral eigenvalues/coefficients in a recursive integral…

Materials Science · Physics 2011-02-22 Youlin Geng , Cheng-Wei Qiu

We present a computer program for the simulation of Mie scattering in case of arbitrarily large size parameters. The elements of the scattering matrix, efficiency factors as well as the corresponding cross sections, the albedo and the…

Astrophysics · Physics 2009-11-10 S. Wolf , N. V. Voshchinnikov

An expression is obtained on the basis of phase perturbation theory for the contribution to the mean differential reflection coefficient from the in-plane co-polarized component of the light scattered diffusely from a two-dimensional…

We consider deflection of polarizable molecules by inhomogeneous optical fields, and analyze the role of molecular orientation and rotation in the scattering process. It is shown that molecular rotation induces spectacular rainbow-like…

Atomic Physics · Physics 2015-05-14 E. Gershnabel , I. Sh. Averbukh

Geometrically decorated two-dimensional (2D) discrete surfaces can be more effective than conventional smooth reflectors in managing wave radiation. Constructive non-specular wave scattering permits the scattering angle to be other than…

We introduce a practical digital holographic method capable of imaging through a diffusive or scattering medium. The method relies on statistical averaging from a rotating ground glass diffuser to negate the adverse effects caused by…

The scattering phase, defined as $ \log \det S ( \lambda ) / 2\pi i $ where $ S ( \lambda ) $ is the (unitary) scattering matrix, is the analogue of the counting function for eigenvalues when dealing with exterior domains and is closely…

Spectral Theory · Mathematics 2022-10-19 Jeffrey Galkowski , Pierre Marchand , Jian Wang , Maciej Zworski

Scattering is a ubiquitous phenomenon which is observed in a variety of physical systems which span a wide range of length scales. The scattering matrix is the key quantity which provides a complete description of the scattering process.…

Statistical Mechanics · Physics 2014-01-21 André Nock , Santosh Kumar , Hans-Jürgen Sommers , Thomas Guhr

We present a linear coordinate transform to expand the solution of scattering and emission problems into a basis of forward and backward directional vector harmonics. The transform provides intuitive algebraic and geometric interpretations…

Optics · Physics 2023-03-08 Parker R. Wray , Harry A. Atwater

Linear scattering processes are usually described as a function of the parameters of the incident beam. The wavelength, the intensity distribution, the polarization or the phase are among them. Here, we discuss and experimentally…

We present a stochastic description of multiple scattering of polarized waves in the regime of forward scattering. In this regime, if the source is polarized, polarization survives along a few transport mean free paths, making it possible…

Data Analysis, Statistics and Probability · Physics 2013-07-19 Jérémie Boulanger , Nicolas le Bihan , Vincent Rossetto

Active development is taking place in reconfigurable and static metasurfaces that control and optimize reflections. However, existing designs typically only optimize reflections from the metasurface panels, neglecting interference with…

Applied Physics · Physics 2023-06-16 S. Kosulnikov , F. S. Cuesta , X. Wang , S. A. Tretyakov

Light passing through scattering media will be strongly scattered and diffused into complex speckle pattern, which contains almost all the spatial information and spectral information of the objects. Although various methods have been…

Optics · Physics 2019-02-04 Lei Zhu , Jietao Liu , Lei Feng , Chengfei Guo , Tengfei Wu , Xiaopeng Shao

We have investigated the impact of circumplanetary rings consisting of spherical micrometer-sized particles on the net scattered light polarization of extrasolar gas giants. Using the three-dimensional Monte Carlo radiative transfer code…

Earth and Planetary Astrophysics · Physics 2023-03-15 M. Lietzow , S. Wolf

We present a novel approach of modelling surface light scattering in the context of freeform optical design. The model relies on energy conservation and optimal transport theory. For isotropic scattering in cylindrically or rotationally…

Sound scattering by a finite width beam on a single rigid body rotation vortex flow is detected by a linear array of transducers (both smaller than a flow cell), and analyzed using a revised scattering theory. Both the phase and amplitude…

Chaotic Dynamics · Physics 2009-11-10 Sh. Seifer , V. Steinberg

We present a physically intuitive matrix approach for wave imaging and characterization in scattering media. The experimental proof-of-concept is performed with ultrasonic waves, but this approach can be applied to any field of wave physics…

Applied Physics · Physics 2020-07-01 William Lambert , Laura A. Cobus , Mathieu Couade , Mathias Fink , Alexandre Aubry
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