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The emission of electromagnetic waves from a source within or near a non-trivial medium (with or without boundaries, crystalline or amorphous, with inhomogeneities, absorption and so on) is sometimes studied using the reciprocity principle.…

Classical Physics · Physics 2016-09-08 Ariel Caticha

We present an analysis of wave propagation and reflection in an acoustic waveguide with random sound soft boundary and a turning point. The waveguide has slowly bending axis and variable cross section. The variation consists of a slow and…

Analysis of PDEs · Mathematics 2016-09-16 Liliana Borcea , Josselin Garnier

A simple model of X-Ray standing waves (XSW) formation in the slit of a planar waveguide of X-Ray radiation beam for the angle area restricted by the critical total reflection angle is developed. It is shown that the model is true for a…

Instrumentation and Detectors · Physics 2007-05-23 V. Egorov , E. Egorov

The imaging sharpness of an X-ray telescope is chiefly determined by the optical quality of its focusing optics, which in turn mostly depends on the shape accuracy and the surface finishing of the grazing-incidence X-ray mirrors that…

Instrumentation and Methods for Astrophysics · Physics 2014-12-10 Lorenzo Raimondi , Daniele Spiga

This work investigates the temporal dispersion of a wireless terahertz communication signal caused by reflection from a rough (diffuse) surface, and its subsequent impact on symbol error rate versus data rate. Broadband measurements of…

Signal Processing · Electrical Eng. & Systems 2021-04-02 Russ Messenger , Karl Strecker , Sabit Ekin , John O'Hara

X-ray-induced photoemission in materials research is commonly acknowledged as a method with a probing depth limited by the escape depth of the photoelectrons. This general statement should be complemented with exceptions arising from the…

Instrumentation and Detectors · Physics 2016-05-10 Stanislav Stoupin , Bing Shi , Mikhail Zhernenkov

We study the propagation of surface waves across structured surfaces with random, localized inhomogeneities. A discrete analogue of Gurtin-Murdoch model is employed and surface elasticity, in contrast to bulk elasticity, is captured by…

Mathematical Physics · Physics 2024-07-09 Josselin Garnier , Basant Lal Sharma

The transmission of polarized light through a two-dimensional randomly rough interface between two dielectric media has been much less studied, by any approach, than the reflection of light from such an interface. We have derived a reduced…

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

The theoretical formulation of x-ray resonant magnetic scattering from rough surfaces and interfaces is given for the diffuse (off-specular) scattering, and general expressions are derived in both the Born approximation (BA) and the…

Materials Science · Physics 2009-11-10 D. R. Lee , C. S. Nelson , J. C. Lang , C. T. Venkataraman , G. Srajer , R. M. Osgood , S. K. Sinha

X-ray photon correlation spectroscopy was used to probe the diffusive dynamics of colloidal particles in a shear flow. Combining X-ray techniques with microfluidics is an experimental strategy that reduces the risk of x-ray induced beam…

Soft Condensed Matter · Physics 2008-03-11 Andrei Fluerasu , Abdellatif Moussaid , Henri Gleyzolle , Peter Falus , Anders Madsen

We consider wave propagation across an infinite waveguide of an arbitrary bounded cross-section, whose interior is blocked by two identical thick barriers with holes. When the holes are small, the waves over a broad range of frequencies are…

Mathematical Physics · Physics 2021-10-14 A. Delitsyn , D. S. Grebenkov

Electromagnetic wave scattering from planar dielectric films deposited on one-dimensional, randomly rough, perfectly conducting substrates is studied by numerical simulations for both p- and s-polarization. The reduced Rayleigh equation,…

Condensed Matter · Physics 2024-03-25 I. Simonsen , A. A. Maradudin

The values of the signal-to-noise ratio are determined, at which the method of processing X-ray diffraction data reveals reflections with intensity less than the noise component of the background. The possibilities of the method are…

X-ray reflectivity and grazing incidence diffraction (XGID) from liquid surfaces are described.

Soft Condensed Matter · Physics 2019-06-25 Dvaid Vaknin

The propagation and transmission of Bessel beams through nano-layered structures has been discussed recently. Within this framework we recognize the formation of unguided diffraction-free waves with the spot size approaching and…

Optics · Physics 2016-01-20 Carlos J. Zapata-Rodriguez

Grating interferometer is a state of art x-ray imaging approach, which can simultaneously acquire information of x-ray attenuation, phase shift, and small angle scattering. This approach is very sensitive to micro-structural variation and…

Medical Physics · Physics 2015-09-21 Wenxiang Cong , Yan Xi , Ge Wang

Exact calculations of transmission and reflection coefficients in surface randomly corrugated optical waveguides are presented. As the length of the corrugated part of the waveguide increases, there is a strong preference to forward…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Garcia-Martin , J. A. Torres , J. J. Saenz , M. Nieto-Vesperinas

On the basis of general theoretical results developed previously in [JETP 112, 246 (2011)], we analyze the reflection of quasiresonant light from a plane surface of dense and disordered ensemble of motionless point scatters. Angle…

Atomic Physics · Physics 2016-01-15 A. S. Kuraptsev , I. M. Sokolov

This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating slab (between two parallel planes) in the weak-scattering regime, and the study of boundary effects through an…

Analysis of PDEs · Mathematics 2023-08-03 Adel Messaoudi , Régis Cottereau , Christophe Gomez