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This study presents a finite difference method (FDM) to model the electromagnetic field propagation in eccentric coaxial waveguides filled with lossy uniaxially anisotropic media. The formulation utilizes conformal transformation to map the…

Computational Engineering, Finance, and Science · Computer Science 2025-01-24 Raul O. Ribeiro , Maria A. Martinez , Guilherme S. Rosa , Rafael A. Penchel

Exact solutions describing trapped modes in a plane quantum waveguide with a small rigid obstacle are constructed in the form of convergent series in powers of the small parameter characterizing the smallness of the obstacle. The terms of…

Mathematical Physics · Physics 2023-12-15 P. Zhevandrov , A. Merzon , M. I. Romero Rodríguez , J. E. De la Paz Méndez

Electromagnetic topological insulators have been explored extensively due to the robust edge states they support. In this work, we propose a topological electromagnetic system based on a line defect in topologically nontrivial photonic…

Optics · Physics 2019-08-27 Menglin L. N. Chen , Li Jun Jiang , Zhihao Lan , Wei E. I. Sha

Several practical implementations of the THz wire waveguides are proposed combining the low-loss, low group velocity dispersion and simplicity of excitation of the two-wire metal waveguide with the ease of manufacturing, possibility of…

Optics · Physics 2012-06-15 Andrey Markov , Stephan Gorgutsa , Hang Qu , Maksim Skorobogatiy

Guided waves modes in a slab waveguide formed from the isotropic dielectric layer embedded by hyperbolic materials are investigated. Optical axis is normal to the slab plane. The dispersion relations for TE and TM waves are found. The…

Optics · Physics 2015-07-28 Ekaterina I. Lyashko , Andrey I. Maimistov

Terahertz (THz) communication systems hold immense potential for high-speed data transfer across various domains yet face challenges due to directionality constraints because of free space path loss. To address this, directional beams are…

We study theoretical models of three coupled wave guides with a $\mathcal{PT}$-symmetric distribution of gain and loss. A realistic matrix model is developed in terms of a three-mode expansion. By comparing with a previously postulated…

Symmetries -- whether explicit, latent, or hidden -- are fundamental to understanding topological materials. This work introduces a prototypical spring-mass model that extends beyond established canonical models, revealing topological edge…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Udbhav Vishwakarma , Murthaza Irfan , Georgios Theocharis , Rajesh Chaunsali

Dispersion features of a graphene-coated semiconductor nanowire operating in the terahertz frequency band are consistently studied in the framework of a special theory of complex waves. Detailed classification of the waveguide modes was…

Optics · Physics 2018-06-25 Pengchao Yu , Volodymyr I. Fesenko , Vladimir R. Tuz

Metasurfaces offered great opportunities to control electromagnetic (EM) waves, but currently available meta-devices typically work either in pure reflection or pure transmission mode, leaving half of EM space completely unexplored. Here,…

Applied Physics · Physics 2017-10-04 Tong Cai , GuangMing Wang , ShiWei Tang , HeXiu Xu , JingWen Duan , HuiJie Guo , FuXin Guan , ShuLin Sun , Qiong He , Lei Zhou

In this study, we propose and experimentally demonstrate a novel kind of Tamm plasmon topological superlattice (TTS) by engineering Tamm photonic crystals (TPCs) belonging to a different class of topology. Utilizing specifically designed…

Optics · Physics 2021-07-12 Tong Qiao , Mengying Hu , Xi Jiang , Qiang Wang , Shining Zhu , Hui Liu

Topological insulators feature a number of topologically protected boundary modes linked to the value of their bulk invariant. While in one-dimensional systems the boundary modes are zero dimensional and localized, in two-dimensional…

Quantum Physics · Physics 2023-08-21 Carlos Vega , Diego Porras , Alejandro González-Tudela

We propose a novel efficient and robust Wavelet-based Edge Multiscale Finite Element Method (WEMsFEM) motivated by \cite{MR3980476,GL18} to solve the singularly perturbed convection-diffusion equations. The main idea is to first establish a…

Numerical Analysis · Mathematics 2024-11-12 Shubin Fu , Eric Chung , Guanglian Li

The aim of this work is to present theoretical tools to study wave propagation in elastic waveguides and perform multi-frequency scattering inversion to reconstruct small shape defects in a 2D and 3D elastic plate. Given surface…

Analysis of PDEs · Mathematics 2022-10-06 Eric Bonnetier , Angele Niclas , Laurent Seppecher

Monolayers of transition metal dichalcogenides (TMDCs), known for their strong excitonic states with high binding energies in the visible spectrum at room temperature, offer great potential for polariton-driven devices. While polariton…

We study resonant mode conversion in the PT-symmetric multimode waveguides, where symmetry breaking manifests itself in sequential destabilization (appearance of the complex eigenvalues) of the pairs of adjacent guided modes. We show that…

Optics · Physics 2015-06-23 Victor A. Vysloukh , Yaroslav V. Kartashov

In this paper we study the local wellposedness of the solution to a non-linear parabolic-dispersive coupled system which models a Micro-Electro-Mechanical System (MEMS). A simple electrostatically actuated MEMS capacitor device has two…

Analysis of PDEs · Mathematics 2023-12-06 Heiko Gimperlein , Runan He , Andrew A. Lacey

We recently found that the electromagnetic scattering problem can be very fast in an approach expressing the fields in terms of orthonormal basis functions. In this paper we apply computational conformal geometry with the conformal energy…

Optics · Physics 2025-12-19 Pengcheng Wan , Zhong-Heng Tan , S. T. Chui , Tiexiang Li , S. T. Yau

In the generalized Born-Infeld electrodynamics discovered by Bandos, Lechner, Sorokin and Townsend, we study transverse electric waves propagating perpendicular to a constant magnetic field background in a parallel-plate waveguide. The…

Classical Physics · Physics 2023-12-27 Yang Shi , Qinyan Tan , Towe Wang

Parity-time (PT) symmetry and anti-PT symmetry have attracted extensive interest for their non-Hermitian spectral properties, particularly the emergence of purely real and imaginary eigenvalues in their symmetry-unbroken regime,…