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At an interface between contacts and graphene, the mathematical equation that governs the propagation of electrons transforms from the Schrodinger to the Dirac equation. The condition of current probability conservation at such an interface…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Daniela Dragoman

Non-Hermitian systems give rise to distinct topological phenomena, yet their manifestations at temporal interfaces characterized by abrupt changes in system parameters remain largely unex plored. Upon an abrupt alteration of the Hamiltonian…

We present the study of bound surface modes sustained at the termination of truncated bulk dielectric photonic crystals and isolated metasurfaces of dielectric meta-atoms. We discuss the origins of bound modes in the two systems and their…

Applied Physics · Physics 2019-08-21 Anna C. Tasolamprou , Maria Kafesaki , Thomas Koschny , Costas M. Soukoulis

We consider the limit of a linear kinetic equation, with reflection-transmission-absorption at an interface, with a degenerate scattering kernel. The equation arise from a microscopic chain of oscillators in contact with a heat bath. In the…

Probability · Mathematics 2019-05-28 Tomasz Komorowski , Stefano Olla , Lenya Ryzhik

In the present paper we present ways to modulate the periodic transmission peaks arising in disordered one dimensional photonic structures with hundreds of layers. Disordered structures in which the optical length nd (n is the refractive…

Optics · Physics 2016-06-22 I. Kriegel , F. Scotognella

The impact of surface reflection on the statistics of transmission eigenvalues is a largely unexplored subject of fundamental and practical importance in statistical optics. Here, we develop a first-principles theory and confirm numerically…

Disordered Systems and Neural Networks · Physics 2014-05-20 Xiaojun Cheng , Chushun Tian , Azriel Z. Genack

Modern observations and models of various astrophysical objects suggest that many of their physical parameters fluctuate substantially at different spatial scales. The rich variety of the emission processes, including Transition Radiation…

Astrophysics · Physics 2007-10-02 Gregory D. Fleishman , Dale E. Gary , Gelu M. Nita

This paper is divided into three parts. The first part focuses on periodic layer heat potentials, demonstrating their smooth dependence on regular perturbations of the support of integration. In the second part, we present an application of…

Analysis of PDEs · Mathematics 2023-11-30 Matteo Dalla Riva , Paolo Luzzini , Riccardo Molinarolo , Paolo Musolino

Interfaces remain one of the major issues in limiting the understanding and designing polymer nanocomposites due to their complexity and pivotal role in determining the ultimate composites properties. In this study, we take multi-walled…

Materials Science · Physics 2017-11-20 Yuhan Li , Faxiang Qin , Huan Wang , Hua-Xin Peng

In this paper, we study weakly interacting diffusion processes on random graphs. Our main focus is on the properties of the mean-field limit and, in particular, on the nonuniqueness and bifurcation structure of stationary states. By…

Dynamical Systems · Mathematics 2025-11-03 Benedetta Bertoli , Grigorios A. Pavliotis , Niccolò Zagli

Propagation of the surface waves on the interface between an uniaxial hyperbolic material and an isotopical topological insulator is studied. The cases of the anisotropy axes is normal to interface or one is coplanar to interface are…

Optics · Physics 2017-06-20 Ekaterina Lyashko , Andrei Maimistov , Ildar Gabitov

Time modulation of the physical parameters offers interesting new possibilities for wave control. Examples include amplification of waves, harmonic generation and non-reciprocity, without resorting to non-linear mechanisms. Most of the…

Mathematical Physics · Physics 2025-07-25 Michaël Darche , Raphaël Assier , Sébastien Guenneau , Bruno Lombard , Marie Touboul

We demonstrate, theoretically and experimentally, that a traveling electric charge passing from one photonic crystal into another generates edge waves -- electromagnetic modes with frequencies inside the common photonic bandgap localized at…

We study a 2D scalar harmonic wave transmission problem between a classical dielectric and a medium with a real-valued negative permittivity/permeability which models a metal at optical frequency or an ideal negative metamaterial. We…

Analysis of PDEs · Mathematics 2013-11-27 Lucas Chesnel , Xavier Claeys , Sergey A. Nazarov

Atomistic computer simulations are applied to investigate the atomic structure, thermal stability, and diffusion processes in Al-Si interphase boundaries as a prototype of metal-ceramic interfaces in composite materials. Some of the most…

Materials Science · Physics 2023-08-24 Ian Chesser , Raj Koju , Akshay Vellore , Yuri Mishin

This work is devoted to radiative transfer equations with long-range interactions. Such equations arise in the modeling of high frequency wave propagation in random media with long-range dependence. In the regime we consider, the singular…

Analysis of PDEs · Mathematics 2015-11-09 Christophe Gomez , Olivier Pinaud , Lenya Ryzhik

We report a crossover in optical propagation in random layered media from localization towards diffusion as the interaction of the wave with the sample is transformed from one to three-dimensional due to nonuniformity in the layer…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Sheng Zhang , Jongchul Park , Valery Milner , Azriel Z. Genack

We consider spatially discrete bistable reaction-diffusion equations that admit wave front solutions. Depending on the parameters involved, such wave fronts appear to be pinned or to glide at a certain speed. We study the transition of…

Materials Science · Physics 2007-05-23 A. Carpio , L. L. Bonilla

Photonic time interfaces, as the temporal analogue of spatial interfaces between two media, consist of a rapid change of the electromagnetic properties of a material (such as permittivity {\epsilon}, and permeability {\mu}) while the wave…

Optics · Physics 2024-11-22 Victor Pacheco-Peña , Nader Engheta

Diffraction gratings synthetically moving at trans-luminal velocities contain points where wave and grating velocities are equal. We show these points can be understood as a series of optical event horizons where wave energy can be trapped…

Quantum Physics · Physics 2023-02-17 Simon A. R. Horsley , John B. Pendry