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Related papers: Electromagnetic Wave Propagation in a Quasi-1D Rho…

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We investigate the astonishing physical aspects of Exceptional Points (EPs) in a 1D planar few-mode optical waveguide. The waveguide hosts four quasi-guided modes. Here interactions between the selected pair of modes are modulated by a…

Linear and nonlinear mechanisms for conical wave propagation in two-dimensional lattices are explored in the realm of phononic crystals. As a prototypical example, a statically compressed granular lattice of spherical particles arranged in…

Pattern Formation and Solitons · Physics 2016-02-17 C. Chong , P. G. Kevrekidis , M. J. Ablowitz , Yi-Ping Ma

We investigate in this chapter the mathematical models for electromagnetic wave propagation in dispersive isotropic passive linear media for which the dielectric permittivity $\varepsilon$ and magnetic permeability $\mu$ depend on the…

Mathematical Physics · Physics 2025-04-02 Maxence Cassier , Patrick Joly

This chapter is a pedagogical review of methods and results for studying wave propagation in one-dimensional complex structures. We describe and compare the tight-binding, scattering matrix, transfer matrix and Riccati formalisms. We…

Optics · Physics 2012-11-02 Eric Akkermans , Gerald Dunne , Eli Levy

The fundamental guided electromagnetic dispersion characteristics in lossless dispersive metamaterial clad circular air hole waveguides are investigated. Two operating guided modes are found to exist: circular waveguide and surface plasmon…

Optics · Physics 2009-02-24 Ki Young Kim

General properties of linear propagation of discretized light in homogeneous and curved waveguide arrays are comprehensively investigated and compared to those of paraxial diffraction in continuous media. In particular, general laws…

Optics · Physics 2015-05-14 S. Longhi

We consider 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,…

Materials Science · Physics 2009-11-10 Chao-Hsien Kuo , Zhen Ye

We calculate the bound plasmonic modes of a quantum metamaterial slab, comprised of multiple quasi two dimensional electron gas (Q2DEG) layers, whose thickness is much smaller than the optical wavelength. For the first order transverse…

Other Condensed Matter · Physics 2009-11-13 J. Plumridge , C. Phillips

We investigate the propagation of electromagnetic waves through a static wormhole. It is shown that the problem can be reduced to a one-dimensional Schr\"odinger-like equation with a barrier-type potential. Using numerical methods, we…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. E. Perez Bergliaffa , K. E. Hibberd

We introduce the stochastic band structure, a method giving the dispersion relation for waves propagating in periodic media or along waveguides, and subject to material loss or radiation damping. Instead of considering an explicit or…

Computational Physics · Physics 2023-06-30 Vincent Laude , Maria E. Korotyaeva

We present a method developed to deal with electromagnetic wave propagation inside a material medium that reacts, in general, non-linearly to the field strength. We work in the context of Maxwell' s theory in the low frequency limit and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. A. De Lorenci , M. A. Souza

Radiative emission from a semi-infinite unflanged circular cylindrical dielectric waveguide or optical fiber is studied for the case of axisymmetric modes of TM polarization on the basis of an iterative scheme. The first step of the scheme…

Optics · Physics 2013-09-30 B. U. Felderhof

The work is dedicated to the theoretic analysis of wire media, i.e. lattices of perfectly conducting wires comprised of two or three doubly periodic arrays of parallel wires which are orthogonal to one another. An analytical method based on…

Materials Science · Physics 2009-11-10 C. R. Simovski , P. A. Belov

- An algorithm for calculating the radiation field of a charged point particle performing a spiral motion in an infinite cylindrical waveguide with a multilayer side wall is found. The number of layers and their filling is arbitrary. The…

In this paper we study the problem of wave propagation in a 3-D optical fiber. The goal is to obtain a solution for the time-harmonic field caused by a source in a cylindrically symmetric waveguide. The geometry of the problem,…

Numerical Analysis · Mathematics 2025-10-20 Oleg Alexandrov , Giulio Ciraolo

I derive unidirectional wave equations for fields propagating in materials with both electric and magnetic dispersion and nonlinearity. The derivation imposes no conditions on the pulse profile except that the material modulates the…

Optics · Physics 2014-08-04 Paul Kinsler

In this paper, radiation due to standing wave currents are considered for the electric dipole. Assumptions that wavelength is much smaller than the dipole separation distance, which in turn is much smaller than the distance to the point of…

Classical Physics · Physics 2020-07-28 Altay Zhakatayev , Leila Tlebaldiyeva

In the spirit of continued study of general plasma wave properties we investigated the boundary problem with the simplest form of electric field pulse at the edge x=0 of half-infinite uniform plasma slab with Maxwellian electron…

Plasma Physics · Physics 2007-11-08 V. N. Soshnikov

The problem of interest in this article are waves on a layer of finite depth governed by the Euler equations in the presence of gravity, surface tension, and vertical electric fields. Perturbation theory is used to identify canonical…

Fluid Dynamics · Physics 2015-01-13 Matthew Hunt , Emilian Parau , Jean-Marc Vanden-broeck , Demetrios Papageorgiou

In absence of currents and charges the quantized electromagnetic field can be described by wave functions which for each individual wave vector are normalized to one. The resulting formalism involves reducible representations of the…

Quantum Physics · Physics 2017-05-05 Jan Naudts