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An exact formulation of the propagation of a monochromatic wave packet impinging upon a transparent, homogeneous, isotropic and parallel slab at oblique incidence is presented. Approximate formulas are derived for low divergence Gaussian…

Optics · Physics 2017-12-18 Michel Lequime , Claude Amra

For over 70 years it has been assumed that scalar wave propagation in (ensemble-averaged) random particulate materials can be characterised by a single effective wavenumber. Here, however, we show that there exist many effective…

Classical Physics · Physics 2019-08-13 Artur Lewis Gower , William J. Parnell , Ian David Abrahams

Propagation of P and SV waves in an elastic solid containing randomly distributed inclusions in a half-space is investigated. The approach is based on a multiple scattering analysis similar to the one proposed by Fikioris and Waterman for…

Mathematical Physics · Physics 2011-02-07 Jean-Marc Conoir , Andrew N. Norris

The spectral expansion of the Green's tensor for a planar multilayered structure allows us to semi analytically obtain the angular spectrum representation of the field scattered by an arbitrary dielectric perturbation present in the…

The geometric representation at a fixed frequency of the wavevector (or dispersion) surface $\omega(\vec k)$ for lossless, homogeneous dielectric--magnetic uniaxial materials is explored, when the elements of the relative permittivity and…

Scattering of femtosecond laser pulses on resonant transmission and reflection gratings made of dispersive (Drude metals) and dielectric materials is studied by a time-domain numerical algorithm for Maxwell's theory of linear passive…

Computational Physics · Physics 2009-11-10 Andrei G. Borisov , Sergei V. Shabanov

In this paper we revisit the issue of the propagation of warps in thin and viscous accretion discs. In this regime warps are know to propagate diffusively, with a diffusion coefficient approximately inversely proportional to the disc…

High Energy Astrophysical Phenomena · Physics 2015-05-18 G. Lodato , D. Price

In the linear approximation, we study a one-dimensional problem of the reflectionless wave propagation on a surface of a shallow duct with the spatially varying water depth, duct width, and current. We show that both global and bounded…

Fluid Dynamics · Physics 2021-12-08 Semyon Churilov , Yury Stepanyants

Propagation of spoof surface plasmon polaritons (spoof SPPs) on comb-shaped ultrathin metal strips made of aluminum foil and printed copper circuit are studied experimentally and numerically. With a near field scanning technique, electric…

Optics · Physics 2015-03-03 Hong Xiang , Qiang Zhang , Jiwang Chai , Fei Fei Qin , Jun Jun Xiao , Dezhuan Han

Wave packet propagation in the basis of interpolating scaling functions (ISF) is studied. The ISF are well known in the multiresolution analysis based on spline biorthogonal wavelets. The ISF form a cardinal basis set corresponding to an…

Atomic Physics · Physics 2015-06-26 Andrei G. Borisov , Sergei V. Shabanov

We have investigated the transport of light through slabs that both scatter and strongly absorb, a situation that occurs in diverse application fields ranging from biomedical optics, powder technology, to solid-state lighting. In…

Optics · Physics 2019-02-08 M. L. Meretska , R. Uppu , G. Vissenberg , A. Lagendijk , W. L. IJzerman , W. L. Vos

This is the first article in a series of three dealing with the exploitation of speckle for imaging purposes. Speckle is the complex interference wave-field produced by a random distribution of un-resolved scatterers. In this paper, we show…

Applied Physics · Physics 2026-02-06 Elsa Giraudat , Flavien Bureau , William Lambert , Mathias Fink , Alexandre Aubry

In this paper the theory and simulation results are presented for 3D vector cylindrical rotationally symmetric electromagnetic wave propagation in an isotropic nonlinear medium using a modified finite-difference time-domain general vector…

Pattern Formation and Solitons · Physics 2025-09-10 Caleb J. Grimms , Robert D. Nevels

We consider the effect of an array of plates or beams over a semi-infinite elastic ground on the propagation of elastic waves hitting the interface. The plates/beams are slender bodies with flexural resonances at low frequencies able to…

Classical Physics · Physics 2020-07-15 Jean-Jacques Marigo , Kim Pham , Agnès Maurel , Sébastien Guenneau

We perform 3D lithography simulations by using a finite-element solver. To proof applicability to real 3D problems we investigate DUV light propagation through a structure of size 9 microns times 4 microns times 65 nm. On this relatively…

Optics · Physics 2009-05-28 S. Burger , R. Köhle , L. Zschiedrich , H. Nguyen , F. Schmidt , R. März , C. Nölscher

Theoretical and computational study of reflection and refraction of electromagnetic waves with $p$-polarized and normal incidence electric wave amplitude vector on anisotropic, inhomogeneous and linear medium has been done. The medium used…

Optics · Physics 2012-03-09 Andri S. Husein , Roniyus MS , Sri W. Suciyati

The point spread function (PSF) is fundamental to any type of microscopy, most importantly so for single-molecule localization techniques, where the exact PSF shape is crucial for precise molecule localization at the nanoscale. However,…

The vector electric-field Helmholtz equation, containing cross-polarization terms, is factored to produce both pseudo-differential and exponential operator forms of a three-dimensional, one-way, vector, wave equation for propagation through…

Computational Physics · Physics 2024-10-24 Laurence Keefe , Austin McDaniel , Max Cubillos , Ilya Zilberter , Timothy Madden

Finite propagation speed properties in mathematical elastic and viscoelastic models are fundamental in many applications where the data exhibits propagating fronts. We note particularly that this property is observed in biomechanical…

Analysis of PDEs · Mathematics 2016-11-10 Joyce McLaughlin , Jeong-Rock Yoon

We present a novel method of simulating wave effects in graphics using ray--based renderers with a new function: the Wave BSDF (Bidirectional Scattering Distribution Function). Reflections from neighboring surface patches represented by…

Graphics · Computer Science 2011-01-31 Tom Cuypers , Se Baek Oh , Tom Haber , Philippe Bekaert , Ramesh Raskar