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We consider the solvability of the direct scattering problem of an obliquely incident time-harmonic electromagnetic wave by a piecewise constant inhomogeneous, penetrable and infinitely long cylinder. We prove the existence and uniqueness…

Analysis of PDEs · Mathematics 2024-02-23 Drossos Gintides , Sotiris Giogiakas , Leonidas Mindrinos

The exact spheroidal-function series solution for the time-harmonic acoustic scattering of a plane wave by two fluid confocal prolate spheroids is developed and a numerical implementation is formulated and validated by independent methods.…

Computational Physics · Physics 2022-09-07 Edmundo Federico Lavia

To design a uniaxial anisotropic metamaterial a layered cylindrical metamaterial is introduced for TE polarization. Unlike to the previous work, which the layers were in radial direction, here the layers are in azimuthal direction.…

Optics · Physics 2017-10-11 M. R. Forouzeshfard , Masoud Mohebbi , Aliyeh Mollaei

The distributions of the angular transmission coefficient and of the total transmission are calculated for multiple scattered waves. The calculation is based on a mapping to the distribution of eigenvalues of the transmission matrix. The…

Condensed Matter · Physics 2009-10-22 Th. M. Nieuwenhuizen , M. C. W. van Rossum

Interaction-free measurement is shown to arise from the forward-scattered wave accompanying absorption: a "quantum silhouette" of the absorber. Accordingly, the process is not free of interaction. For a perfect absorber the…

Quantum Physics · Physics 2009-10-31 Tamás Geszti

In this article, we present the derivation of the asymptotic forms of the equations corresponding to the scattering coefficients of the exterior electric and magnetic fields of an infinite grating of insulating dielectric circular cylinders…

Mathematical Physics · Physics 2007-11-06 Omer Kavaklioglu , Baruch Schneider

Acoustic scattering from layered seafloors exhibits dependence on both the mean geoacoustic layering, as well as the roughness properties of each layer. Several theoretical treatments of this environment exist, including the small roughness…

Computational Physics · Physics 2020-12-02 Derek R. Olson , Darrell Jackson

This paper investigates the problem of time-harmonic acoustic scattering in an inhomogeneous medium with a complex topological structure. Specifically, the medium is anisotropic and contains several disjoint sound-soft obstacles. This model…

Mathematical Physics · Physics 2025-09-30 Huaian Diao , Qingle Meng , Zhiying Sun

Using analytical Lorenz--Mie scattering formalism and numerical methods, we analyze the response of active particles to electromagnetic waves. The particles are composed of homogeneous, non-magnetic, and dielectrically isotropic medium.…

Optics · Physics 2022-09-23 Ari Sihvola , Henrik Wallén , Pasi Ylä-Oijala , Rashda Parveen

This paper presents a study of acoustic scattering by a cylinder of either infinite or finite length near a flat pressure-release surface. A novel self-consistent method is developed to describe the multiple scattering interactions between…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Zhen Ye , You-Yu Chen

The moment conditions or estimating equations for instrumental variables quantile regression involve the discontinuous indicator function. We instead use smoothed estimating equations (SEE), with bandwidth $h$. We show that the mean squared…

Methodology · Statistics 2018-02-28 David M. Kaplan , Yixiao Sun

This paper presents a new single-source surface integral equation (SS-SIE) to model composite penetrable objects. In the proposed formulation, the surface electric and magnetic fields on all interior boundaries are first eliminated through…

Computational Engineering, Finance, and Science · Computer Science 2020-08-17 Xiaochao Zhou , Zekun Zhu , Shunchuan Yang

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 by many parallel infinite cylinders is studied asymptotically as $a\to 0$. Here $a$ is the radius of the cylinders. It is assumed that the points $\hat{x}_m$ are distributed so that…

Mathematical Physics · Physics 2012-09-03 Alexander G. Ramm

The Wigner-Smith (WS) time delay matrix relates an acoustic system's scattering matrix to its wavenumber derivative. The entries of the WS time delay matrix can be expressed in terms of energy density-like volume integrals, which cannot be…

Computational Engineering, Finance, and Science · Computer Science 2022-05-26 Utkarsh R. Patel , Yiqian Mao , Jack Hamel , Eric Michielssen

We develop a dynamical formulation of one-dimensional scattering theory where the reflection and transmission amplitudes for a general, possibly complex and energy-dependent, scattering potential are given as solutions of a set of dynamical…

Quantum Physics · Physics 2015-06-17 Ali Mostafazadeh

We present the first numerical construction of the scalar Schwarzschild Green function in the time-domain, which reveals several universal features of wave propagation in black hole spacetimes. We demonstrate the trapping of energy near the…

General Relativity and Quantum Cosmology · Physics 2012-09-27 Anıl Zenginoğlu , Chad R. Galley

Here, the acoustic equation for a lossy medium is derived from the first principle from the linearized compressible Navier-Stokes equation without Stokes' hypothesis. The dispersion relation of the governing equation is obtained, which…

Mathematical Physics · Physics 2022-12-29 Tapan K. Sengupta , Prasannabalaji Sundaram , Aditi Sengupta

In this work we consider the method of non-linear boundary integral equation for solving numerically the inverse scattering problem of obliquely incident electromagnetic waves by a penetrable homogeneous cylinder in three dimensions. We…

Numerical Analysis · Mathematics 2024-02-23 Drossos Gintides , Leonidas Mindrinos

Idealized numerical simulation is used to explore energy sinks for lee waves trapped in their bottom-intensified generating flow. In addition to the loss to explicit dissipation and reabsorption predicted by linear wave action conservation,…

Fluid Dynamics · Physics 2024-03-11 Yue Cynthia Wu , Eric Kunze , Amit Tandon , Amala Mahadevan