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Guided wave dispersion is commonly assessed by Fourier analysis of the field along a line, resulting in frequency-wavenumber dispersion curves. In anisotropic plates, a point source can generate multiple dispersion branches pertaining to…

Classical Physics · Physics 2025-06-18 Daniel A. Kiefer , Sylvain Mezil , Claire Prada

Measurements have been made of the probability distribution of total transmission of microwave radiation in waveguides filled with randomly positioned scatterers which would have values of the dimensionless conductance g near unity. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Stoytchev , A. Z. Genack

Time-harmonic wave propagation problems, especially those governed by Maxwell's equations, pose significant computational challenges due to the non-self-adjoint nature of the operators and the large, non-Hermitian linear systems resulting…

Numerical Analysis · Mathematics 2026-04-15 Victorita Dolean , Antoine Tonnoir , Pierre-Henri Tournier

An elastic ideal 2D propagation medium, i.e., a membrane, can be simulated by models discretizing the wave equation on the time-space grid (finite difference methods), or locally discretizing the solution of the wave equation (waveguide…

Sound · Computer Science 2024-09-21 Federico Fontana , Davide Rocchesso

Propagation of a wave through an array of slits is theoretically investigated. The asymptotic expansion of the matrix elements of the propagation operator is derived and compared with numerical calculations. And then the eigenmodes and…

Optics · Physics 2015-06-23 Makoto Morinaga

A representation of partially spatially coherent and partially polarized stationary electromagnetic fields is given in terms of mutually uncorrelated, transversely shifted, fully coherent and polarized elementary electric-field modes. This…

Optics · Physics 2015-05-19 Jani Tervo , Jari Turunen , Pasi Vahimaa , Frank Wyrowski

We study the number of propagating Bloch modes N_B of an infinite periodic billiard chain. The asymptotic semiclassical behavior of this quantity depends on the phase-space dynamics of the unit cell, growing linearly with the wavenumber k…

Quantum Physics · Physics 2012-01-17 Felipe Barra , Agnes Maurel , Vincent Pagneux , Jaime Zuñiga

Several analysis methods for nonstationary fluctuations are described and applied to the edge localized mode (ELM) instabilities of limiter H-mode plasmas. The microwave scattering diagnostic observes poloidal $k_{\theta}$ values of 3.3…

Plasma Physics · Physics 2019-11-19 Kurt S. Riedel , Alexander Sidorenko , Norton Bretz , David J. Thomson

We propose a new method for calculating reflection and transmission coefficients for an arbitrarily polarized electromagnetic plane wave incident on a one-dimensional dielectric medium of finite thickness and with dielectric permittivity…

Optics · Physics 2022-04-27 N. A. Vanyushkin , A. H. Gevorgyan , S. S. Golik

In this study, the in-plane Bloch wave propagation and bandgaps in a finitely stretched square lattice were investigated numerically and theoretically. To be specific, the elastic band diagram was calculated for an infinite periodic…

Soft Condensed Matter · Physics 2021-06-09 Shiheng Zhao , Tao Feng Han Zhang , Yang Gao , Zheng Chang

Wave propagation in time-varying media enables unique control of energy transport by breaking energy conservation through temporal modulation. Among the resulting phenomena, temporal disorder-random fluctuations in material parameters-can…

Optics · Physics 2025-10-17 Seulong Kim , Kihong Kim

Band formation in periodic media is a central topic in undergraduate solid-state physics, typically introduced through Bloch's theorem as an eigenvalue problem in reciprocal space for infinitely periodic systems. While mathematically…

Computational Physics · Physics 2026-04-07 Nishant Kashyap , Amit Tanwar , Vivek T. Ramamoorthy , Pragati Ashdhir

Accurate dynamic modeling of power systems is essential to assess the stability of electrical power systems when faced with disturbances, which can trigger cascading failures leading to blackouts. A continuum model proves to be effective in…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Somayeh Yarahmadi , Daniel Adrian Maldonado , Lamine Mili , Junbo Zhao , Mihai Anitescu

Various compositions of sparsely polarized antenna arrays are proposed in this paper to estimate the direction-of-arrivals (DOAs) and polarizations of multiple coherent sources. These polarized antenna arrays are composed of one of the…

Instrumentation and Detectors · Physics 2014-05-21 Xin Yuan

We investigate the electromagnetic propagation in two-dimensional photonic crystals, formed by parallel dielectric cylinders embedded a uniform medium. The frequency band structure is computed using the standard plane-wave expansion method,…

Optics · Physics 2009-11-10 Liang-Shan Chen , Chao-Hsien Kuo , Zhen Ye

We analyze the propagation properties of the numerical versions of one and two-dimensional wave equations, semi-discretized in space by finite difference schemes. We focus on high-frequency solutions whose propagation can be described, both…

Analysis of PDEs · Mathematics 2018-06-26 Umberto Biccari , Aurora Marica , Enrique Zuazua

We generalize the invariant imbedding theory of the wave propagation and derive new invariant imbedding equations for the propagation of arbitrary number of coupled waves of any kind in arbitrarily-inhomogeneous stratified media, where the…

Optics · Physics 2009-11-10 Kihong Kim , Dong-Hun Lee , H. Lim

It is shown in linear approximation that in the case of one-dimensional problem of transverse electron waves in a half-infinite slab of homogeneous Maxwellian collisionless plasma with the given boundary field frequency two wave branches of…

Plasma Physics · Physics 2007-11-20 V. N. Soshnikov

This paper examines the propagation of time-harmonic waves in a two-dimensional triangular lattice with a lattice constant $a = 1$. The sources are positioned along line segments within the lattice. Specifically, we investigate the discrete…

Analysis of PDEs · Mathematics 2024-07-04 David Kapanadze , Zurab Vashakidze

By applying a coupled-Bloch-mode approach, we have derived a simple expression for the transmission properties of photonic crystal (PhC) line-defect waveguides with a complex refractive index perturbation. We have provided physical insights…

Optics · Physics 2019-06-17 Marco Saldutti , Paolo Bardella , Jesper Mørk , Mariangela Gioannini