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In the present paper we investigate the transmission and reflection band behavior for a plane electromagnetic wave falling obliquely on an ideal layered structure. The dependence of this behavior on the problem parameters and wave incident…

Optics · Physics 2007-05-23 A. Zh. Khachatrian

A prior work (see Chapter 8 of the book, ``Graphs and Networks: Transfinite and Nonstandard,'' Birkhauser-Boston, Cambridge, Mass., USA, 2004) examined the propagation of an electromagnetic wave on a transfinite transmission line,…

General Mathematics · Mathematics 2007-05-23 A. H. Zemanian

We present a linear mode analysis of the relativistic MHD equations in the presence of finite electrical conductivity. Starting from the fully relativistic covariant formulation, we derive the dispersion relation in the limit of small…

High Energy Astrophysical Phenomena · Physics 2018-10-17 A. Mignone , G. Mattia , G. Bodo

We report on systematic experimental mapping of the transmission properties of two-dimensional silicon-on-insulator photonic crystal waveguides for a broad range of hole radii, slab thicknesses and waveguide lengths for both TE and TM…

Optics · Physics 2009-11-11 Eric Dulkeith , Sharee J. McNab , Yurii A. Vlasov

We demonstrate that the electric field enhancement that occurs in a gap between two closely spaced nanostructures, such as metallic nanoparticles, is the result of a transverse electromagnetic waveguide mode. We derive an explicit…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Jeffrey M. McMahon , Stephen K. Gray , George C. Schatz

Waveguide design is crucial in developing efficient light delivery systems, requiring meticulous material selection, precise manufacturing, and rigorous performance optimization, including dispersion engineering. Here, we introduce…

Optics · Physics 2025-06-10 Yuntian Wang , Yuhang Li , Tianyi Gan , Kun Liao , Mona Jarrahi , Aydogan Ozcan

This paper analyses the surface wave mode propagating along a simplified planar Goubau line consisting of a perfectly conducting circular wire on top of a dielectric substrate of finite thickness but infinite width. An approximate equation…

Classical Physics · Physics 2020-11-30 Tobias Schaich , Daniel Molnar , Anas Al Rawi , Mike Payne

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

In this paper, we investigate the problem of electromagnetic wave propagation in hyperbolic nonlinear media. To address this problem, we consider the scalar hyperbolic nonlinear Schr\"odinger system and its coupled version, namely…

Pattern Formation and Solitons · Physics 2023-12-19 M. Kirane , S. Stalin

We investigate the propagation of Rayleigh waves in a half-space coupled to a nonlinear metasurface. The metasurface consists of an array of nonlinear oscillators attached to the free surface of a homogeneous substrate. We describe,…

Applied Physics · Physics 2025-10-20 Antonio Palermo , Behrooz Yousefzadeh , Chiara Daraio , Alessandro Marzani

This work is devoted to analysis of the nonlinear dynamics of interrelated thermal and electromagnetic perturbations in a superconductor caused by dissipative effects involved in the viscous motion of the magnetic flux. The structure and…

Superconductivity · Physics 2009-11-07 Nizam A. Taylanov

We consider a time-harmonic wave problem, appearing for example in water-waves and in acoustics, in a setting such that the analysis reduces to the study of a 2D waveguide problem with a Neumann boundary condition. The geometry is symmetric…

Analysis of PDEs · Mathematics 2018-05-31 Lucas Chesnel , Sergei A. Nazarov , Vincent Pagneux

Based on the idea of the Abelian group theory in mathematics,this paper finds a sufficient condition of having independent TE and TM modes in a waveguide filled with homogenous anisotropic lossless medium. For independent TE modes, we prove…

Numerical Analysis · Mathematics 2016-03-22 Wei Jiang , Jie Liu , Qing Huo Liu

We consider the waveguiding by thin patterned slabs embedded in a homogeneous medium. In the longwave limit, the wave spectra of slabs are found to be well described by a single frequency-independent parameter, which we call the "guiding…

Optics · Physics 2007-09-28 Serge Luryi , Arsen V. Subashiev

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

We have considered theoretically the waveguide properties of a plane two-layered waveguide, whose one layer is a usual magnetodielectric (forward-wave medium), but another one is a slab of so-called backward-wave material (BW-material),…

Condensed Matter · Physics 2015-06-24 I. S. Nefedov , S. A. Tretyakov

We demonstrate a single-mode phononic waveguide that enables robust propagation of mechanical waves. The waveguide is a highly-stressed silicon nitride membrane that supports the propagation of out-of-plane modes. In direct analogy to…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Erick Romero , Rachpon Kalra , Nicolas P. Mauranyapin , Christopher G. Baker , Chao Meng , Warwick P. Bowen

We theoretically investigate the steady-state transmission of continuous terahertz (THz) wave across a freestanding ferroelectric slab. Based on the Landau-Ginzburg-Devonshire theory of ferroelectrics and the coupled equations of motion for…

Mesoscale and Nanoscale Physics · Physics 2024-08-07 Taorui Chen , Bo Wang , Yujie Zhu , Shihao Zhuang , Long-Qing Chen , Jia-Mian Hu

We investigate the propagation of surface waves along a spatially dispersive graphene sheet, including substrate effects. The proposed analysis derives the admittances of an equivalent circuit of graphene able to handle spatial dispersion,…

Mesoscale and Nanoscale Physics · Physics 2013-09-03 J. S. Gomez-Diaz , J. R. Mosig , J. Perruisseau-Carrier

This letter gives a condition for the existence of the pure TE and TM modes in the metallic waveguide filled with a homogeneous, fully anisotropic and lossless medium. The condition is a relation between the permittivity and permeability…

Classical Physics · Physics 2023-02-13 Wei Jiang , Jie Liu