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We consider a nonlinear microcavity separating a waveguide channel into two parts so as the coupling between them is possible only due to the resonant properties of the microcavity. We provide a rigorous derivation of the equations used in…

Optics · Physics 2011-09-06 Victor Grigoriev , Fabio Biancalana

Consider the problem of scattering of electromagnetic waves by a doubly periodic structure. The medium above the structure is assumed to be inhomogeneous characterized completely by an index of refraction. Below the structure is a perfect…

Analysis of PDEs · Mathematics 2013-05-07 Jiaqing Yang , Bo Zhang

This paper introduces a new Windowed Green Function (WGF) method for the numerical integral-equation solution of problems of electromagnetic scattering by obstacles in presence of dielectric or conducting half-planes. The WGF method, which…

Computational Physics · Physics 2015-08-05 Oscar Bruno , Mark Lyon , Carlos Perez-Arancibia , Catalin Turc

We formulate and demonstrate experimentally the high-resolution spectral method based on Bloch-wave symmetry properties for extracting mode dispersion in periodic waveguides from measurements of near-field profiles. We characterize both the…

The pointwise space-time behavior of the Green's function of the one-dimensional Vlasov-Maxwell-Boltzmann (VMB) system is studied in this paper. It is shown that the Green's function consists of the macroscopic diffusive waves and Huygens…

Analysis of PDEs · Mathematics 2023-10-02 Hai-Liang Li , Tong Yang , Mingying Zhong

We present experimental observations of the interference of spin-wave modes propagating in opposite directions in micron-sized NiFe-waveguides. To monitor the local spin-wave intensity distribution and phase of the formed interference…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Philipp Pirro , Thomas Brächer , Katrin Vogt , Björn Obry , Helmut Schultheiss , Britta Leven , Burkard Hillebrands

The general method to obtain solutions of the Maxwellian equations from scalar representatives is developed and applied to the diffraction of electromagnetic waves. Kirchhoff's integral is modified to provide explicit expressions for these…

Optics · Physics 2019-03-27 Ulrich Brosa

Guided-mode resonances in diffraction gratings are manifested as peaks (dips) in reflection (transmission) spectra. Smaller resonance line widths (higher Q-factors) ensure stronger light-matter interactions and are beneficial for…

Waveguides are critically important components in microwave, THz, and optical technologies. Due to recent progress in two-dimensional materials, metasurfaces can be efficiently used to design novel waveguide structures which confine the…

Applied Physics · Physics 2019-11-15 X. Ma , M. S. Mirmoosa , S. A. Tretyakov

This paper proposes a novel method to establish the wellposedness and convergence theory of the uniaxial-perfectly-matched-layer (UPML) method in solving a two-dimensional acoustic scattering problem due to a compactly supported source,…

Numerical Analysis · Mathematics 2019-10-31 Wangtao Lu , Jun Lai , Haijun Wu

To model the decay of a quasibound state we use the modified two-potential approach introduced by Gurvitz and Kalbermann. This method has proved itself useful in the past for calculating the decay width and the energy shift of an isolated…

Nuclear Theory · Physics 2015-06-26 Bogdan Mihaila , Shmuel A. Gurvitz , David Dean , Witold Nazarewicz

This paper proposes, for wave propagating in a globally perturbed half plane with a perfectly conducting step-like surface, a sharp Sommerfeld radiation condition (SRC) for the first time, an analytic formula of the far-field pattern, and a…

Numerical Analysis · Mathematics 2020-05-13 Wangtao Lu

For elastic wave scattering problems in unbounded anisotropic media, the existence of backward waves makes classic truncation techniques fail completely. This paper is concerned with an exact truncation technique for terminating backward…

Numerical Analysis · Mathematics 2023-03-17 Wangtao Lu

We present a method for calculating the transmission spectra, dispersion, and time delay characteristics of optical-waveguide gratings based on Green's functions and Dyson's equation. Starting from the wave equation for transverse electric…

Other Condensed Matter · Physics 2007-05-23 Lars Rindorf , Niels Asger Mortensen

We report on the fabrication and characterization of composite multimode waveguide structures that consist of a stack of single-mode waveguides fabricated by ultrafast laser inscription. We explore 2 types of composite structures; those…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Nemanja Jovanovic , Izabela Spaleniak , Simon Gross , Michael Ireland , Jon S. Lawrence , Christopher Miese , Alexander Fuerbach , Michael J. Withford

Graphene as a one-atom-thick platform for infrared metamaterial plays an important role in optical science and engineering. Here we study the unique properties of some plasmonic waveguides based on graphene nano-ribbon. It is found that a…

Optics · Physics 2013-05-29 S. He , X. Zhang , Y. He

We report on experiments that were performed with microwave waveguide systems and demonstrate that in the frequency range of a single transversal mode they may serve as a model for closed and open quantum graphs. These consist of bonds that…

Quantum Physics · Physics 2023-05-30 Weihua Zhang , Xiaodong Zhang , Jiongning Che , Junjie Lu , M. Miski-Oglu , Barbara Dietz

We study an inverse scattering problem for Maxwell's equations in terminating waveguides, where localized reflectors are to be imaged using a remote array of sensors. The array probes the waveguide with waves and measures the scattered…

Numerical Analysis · Mathematics 2015-10-27 Liliana Borcea , Dinh-Liem Nguyen

We present a semianalytical method to obtain perfect transmission across abrupt H-plane bends in single-mode rectangular waveguides using a single passive polarizable element (scatterer). The underlying analysis and synthesis schemes are…

Applied Physics · Physics 2022-04-26 Liran Biniashvili , Ariel Epstein

A microwave setup for mode-resolved transport measurement in quasi-one-dimensional (quasi-1D) structures is presented. We will demonstrate a technique for direct measurement of the Green's function of the system. With its help we will…

Disordered Systems and Neural Networks · Physics 2015-03-17 O. Dietz , U. Kuhl , H. -J. Stoeckmann , N. M. Makarov , F. M. Izrailev