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We develop a method for computing the scattering of flexural waves off of a periodic wall or a periodic line of scatterers. These waves model the fluctuations of thin plates with periodic clamped, supported, or free edges. We use the…

Numerical Analysis · Mathematics 2026-03-04 Fruzsina Agocs , Tristan Goodwill , Jeremy G. Hoskins , Peter Nekrasov

The functional integral method can be used in quantum mechanics to find the scattering amplitude for particles in the external field. We will obtain the potential scattering amplitude form the complete Green function in the corresponding…

Quantum Physics · Physics 2021-04-07 Cao Thi Vi Ba , Do Thu Ha , Nguyen Nhu Xuan

Fourier methods well known in signal processing are applied to three-dimensional wave propagation problems. The Fourier transform of the Green function, when written explicitly in terms of a real-valued spatial frequency, consists of…

Optics · Physics 2014-01-21 Colin J. R. Sheppard , Shan Shan Kou , Jiao Lin

We consider scattering of a plane electromagnetic wave by a wormhole. It is found that the scattered wave is partially depolarized and has a specific interference picture depending on parameters of the wormhole and the distance to the…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-03 A. A. Kirillov , E. P. Savelova

The geometry of mesoscopic inhomogeneities plays an important role in determining the macroscopic propagation behaviors of elastic waves in a heterogeneous medium. Nonequiaxed inhomogeneities can lead to anisotropic wave velocity and…

Geophysics · Physics 2020-05-05 Huijing He

We explore how ambient-noise interferometry can serve to track variations in the distribution of scatterers within a medium. Experiments are conducted in the presence and absence of a single scatterer that can occupy different positions…

Applied Physics · Physics 2018-08-13 Aida Hejazi Nooghabi , Lapo Boschi , Philippe Roux , Julien de Rosny

The scattering of electromagnetic wave by a periodic array of nanowires is calculated by the boundary element method. The method is extended to the infinite grating near the interface between two dielectrics. A special Green function is…

Highly overmoded and periodically loaded structures, such as the iris-line waveguide, offer an attractive solution for the efficient transportation of diffraction-prone THz pulses over long distances (hundreds of meters). This paper…

Accelerator Physics · Physics 2025-12-16 Adham Naji , Pawan Kumar Gupta , Gennady Stupakov

Mie theory is one of the main tools describing scattering of propagating electromagnetic waves by spherical particles. Evanescent optical fields are also scattered by particles and exert radiation forces which can be used for optical…

Optics · Physics 2013-12-13 Aleksandr Y. Bekshaev , Konstantin Y. Bliokh , Franco Nori

We investigate the radiation of surface polaritons by an annular beam that coaxially encloses a cylindrical waveguide surrounded by a homogeneous medium. By using the Green dyadic, the electromagnetic potentials and the electric and…

In this paper, dyadic Green's function for a graphene-dielectric stack is formulated based on the scattering superposition method. To this end, scattering Green's function in each layer is expanded in terms of cylindrical vector wave…

Computational Physics · Physics 2021-08-04 Shiva Hayati Raad , Zahra Atlasbaf , Mauro Cuevas

Two-dimensional problem of evanescent wave scattering by dielectric or metallic cylinders near the interface between two dielectric media is solved numerically by boundary integral equations method. A special Green function was proposed to…

Optics · Physics 2017-04-17 O. V. Belai , L. L. Frumin , S. V. Perminov , D. A. Shapiro

The multipolar expansion of the electromagnetic field plays a key role in the study of light-matter interactions. All the information about the radiation and coupling between the incident wavefield and the object is embodied in the electric…

Optics · Physics 2024-01-19 Jorge Olmos-Trigo

Application of circularly polarized beams in interferometric illumination of colloid sphere monolayers enables the direct fabrication of rectangular patterns consisting of circular nanohole miniarrays in metal films. The spectral and…

Optics · Physics 2020-05-18 Emese Toth , Aron Sipos , Oliver A. Fekete , Maria Csete

A multilayered particle is illuminated by plane acoustic or electromagnetic waves of one or several frequencies. We consider the inverse scattering problem for the identification of the layers and of the refraction coefficients of the…

Mathematical Physics · Physics 2016-09-07 Semion Gutman

The investigation into the scattering of plane waves by a periodic array of parallel cylinders utilizes the method of cylindrical wave decomposition, thereby reducing the problem complexity to a series of linear algebraic equations. This…

Optics · Physics 2024-06-21 A. S. Bereza , A. E. Chernyavsky , S. V. Perminov , D. A. Shapiro

We develop a model for the reflection and transmission of plane waves by an isotropic layer sandwiched between two uniaxial crystals of arbitrary orientation. In the laboratory frame, reflection and transmission coefficients corresponding…

Materials Science · Physics 2009-04-29 Erik S. Thomson , Larry A. Wilen , John S. Wettlaufer

We develop a framework for the multiple scattering of a polarized wave. We consider particles with spin propagating in a medium filled with scatterers. We write the amplitudes of each spin eigenstate in a local, mobile frame. One of the…

Other Condensed Matter · Physics 2010-07-20 Vincent Rossetto

We consider the scattering of acoustic waves emitted by an active source above a plane turbulent shear layer. The layer is modeled by a moving random medium with small spatial and temporal fluctuations of its mean velocity, and constant…

Fluid Dynamics · Physics 2020-05-19 Josselin Garnier , Etienne Gay , Éric Savin

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