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We study a new mechanism of wave/electron scattering in multi-mode surface-corrugated waveguides/wires. This mechanism is due to specific square-gradient terms in an effective Hamiltonian describing the surface scattering, that were…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. M. Izrailev , N. M. Makarov , M. Rendon

A variety of problems in acoustic and electromagnetic scattering require the evaluation of impedance or layered media Green's functions. Given a point source located in an unbounded half-space or an infinitely extended layer, Sommerfeld and…

Numerical Analysis · Mathematics 2015-07-23 Jun Lai , Leslie Greengard , Michael O'Neil

In the field of optics, bound state in the continuum (BIC) has been researched in many photonic crystals and periodic structures due to a strong resonance and an ultrahigh Q factor. Some designs of narrowband transmission filters, lasers,…

Optics · Physics 2022-04-26 Yuhang Ruan , Jicheng Wang , Zheng-Da Hu , Yixiang Wang

Topological boundary and interface modes are generated in an acoustic waveguide by simple quasi-periodic patternings of the walls. The procedure opens many topological gaps in the resonant spectrum and qualitative as well as quantitative…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 David J. Apigo , Wenting Cheng , Kyle F. Dobiszewski , Emil Prodan , Camelia Prodan

We investigate the scattering of scalar harmonic source fields by a periodic pillar, that is, a spatial structure that is periodic in one dimension and of finite extent in the other two. Uniqueness of scattering solutions can be abstracted…

Mathematical Physics · Physics 2011-11-21 Hairui Tu

In this paper, we introduce and study parallel-plate waveguides formed by two penetrable metasurfaces having arbitrary isotropic sheet impedances. We investigate guided modes of this structure and derive the corresponding dispersion…

Applied Physics · Physics 2020-04-22 X. Ma , M. S. Mirmoosa , S. A. Tretyakov

The paper presents an analysis of the dynamic behaviour of discrete flexural systems composed of Euler--Bernoulli beams. The canonical object of study is the discrete Green's function, from which information regarding the dynamic response…

Classical Physics · Physics 2020-10-13 K. H. Madine , D. J. Colquitt

We computationally study a subwavelength dielectric grating structure, show that slab waveguide modes can be used to obtain broadband high reflectivity, and analyze how slab waveguide modes influence reflection. A structure showing…

Optics · Physics 2015-09-17 Xuan Cui , Hao Tian , Zhongxiang Zhou

We present a new boundary integral formulation for time-harmonic wave diffraction from two-dimensional structures with many layers of arbitrary periodic shape, such as multilayer dielectric gratings in TM polarization. Our scheme is robust…

Numerical Analysis · Mathematics 2015-06-23 Min Hyung Cho , Alex H. Barnett

We consider the Maxwell's equations with perfect electric conductor boundary conditions in three-dimensional unbounded domains which are the union of a bounded resonator and one or several semi-infinite waveguides. We are interested in the…

Analysis of PDEs · Mathematics 2025-12-22 Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Sonia Fliss

This paper presents a class of boundary integral equation methods for the numerical solution of acoustic and electromagnetic time-domain scattering problems in the presence of unbounded penetrable interfaces in two-spatial dimensions. The…

Computational Physics · Physics 2019-10-02 Ignacio Labarca , Luiz M. Faria , Carlos Pérez-Arancibia

Electron transport in a graphene quantum well can be analogous to photon transmission in an optical fiber. In this work, we present a detailed theoretical analysis to study the transport characteristics of graphene waveguides under the…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Nayyar Abbas Shah , Vahid Mosallanejad , Kuei-Lin Chiu , Guo-ping Guo

We investigate inverse diffraction problems for penetrable gratings in a piecewise constant medium. In the TE polarization case, it is proved that a binary grating profile together with the refractive index beneath it can be uniquely…

Analysis of PDEs · Mathematics 2021-11-24 Jianli Xiang , Guanghui Hu

We aim to characterise the spectral distributions of bi-infinite, semi-infinite, and finite aperiodic one-dimensional arrays of subwavelength resonators, constructed by sampling from a finite library of building blocks. By adopting the…

Mathematical Physics · Physics 2025-09-29 Habib Ammari , Clemens Thalhammer , Alexander Uhlmann

A recently developed method [A. Shelankov and M. Ozana, Phys. Rev. B 61, 7077 (2000)] is applied to investigate d-wave superconductors in the vicinity of (rough) surfaces. While this method allows the incorporation of arbitrary interfaces…

Superconductivity · Physics 2007-05-23 T. Lueck , U. Eckern , A. Shelankov

The model problem of scattering of a sound wave by an infinite plane structure formed by a semi-infinite acoustically hard screen and a semi-infinite sandwich panel perforated from one side and covered by a membrane from the other is…

Mathematical Physics · Physics 2023-04-11 Y. A. Antipov

We present a new waveguided-sensing configuration combining the advantages of two effects, namely, two-wave interference and multiple-wave interference in a single sensing device. The sensor is accessed vertically from above by means of a…

Optics · Physics 2020-05-19 Anat Demeter-Finzi , Shlomo Ruschin

An essential part of nondestructive testing and experimental modeling of waveguides is the decomposition of propagating wave patterns. The traveling wave ratio is a measure of partial reflections assisting in quantifying the pureness of a…

Applied Physics · Physics 2021-01-06 Yoav Vered , Izhak Bucher

We consider two semi-infinite magnetoelectric media with constant dielectric permittivity separated by a planar interface, whose electromagnetic response is described by non-dynamical axion electrodynamics and investigate the radiation of a…

Other Condensed Matter · Physics 2022-11-08 O. J. Franca , Luis F. Urrutia

The bending of bilayer plates is a mechanism which allows for large deformations via small externally induced lattice mismatches of the underlying materials. Its mathematical modeling, discussed herein, consists of a nonlinear fourth order…

Numerical Analysis · Mathematics 2015-10-09 Söeren Bartels , Andrea Bonito , Ricardo H. Nochetto