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We propose and investigate an "interface-flattening" transformation, hinging upon Transformation Optics (T.O.) techniques, to facilitate the rigorous analysis of electromagnetic (EM) fields radiated by sources embedded in tilted,…

Computational Physics · Physics 2016-02-17 Kamalesh Sainath , Fernando L. Teixeira

In this paper we derive, by means of a suitable least action principle, the duality jump conditions to be imposed at surfaces of discontinuity of the material properties in non-dissipative, linear-elastic, isotropic, Mindlin's and relaxed…

Mathematical Physics · Physics 2016-08-24 Angela Madeo , Patrizio Neff , Ionel-Dumitrel Ghiba , Giuseppe Rosi

The translational motion of a solid sphere near a deformable fluid interface is studied in the low Reynolds number regime. In this problem, the fluid flow driven by the sphere is dynamically coupled the instantaneous conformation of the…

Soft Condensed Matter · Physics 2010-04-26 Thomas Bickel

Fresnel theory is used to derive the complex electric-fields above and below an X-ray reflecting interface that separates two materials with differing indices of refraction. The interference between the incident and reflected waves produces…

Materials Science · Physics 2009-08-17 Michael J. Bedzyk

We consider the time dependent Maxwell system in the sense of distributions in the context of temporal interfaces. Just as with spatial interfaces, electromagnetic waves at temporal interfaces scatter and create a transmitted and reflected…

Analysis of PDEs · Mathematics 2025-07-29 Cristian E. Gutiérrez , Eric Stachura

Previous studies on spacetime index of refraction are mostly restricted to the static spacetimes. In this study we fill this gap by introducing the refractive index for full stationary spacetimes, employing three different approaches. These…

General Relativity and Quantum Cosmology · Physics 2025-07-10 F. Masghatian , M. Esfandiar , M. Nouri-Zonoz

Space-time modulated systems have recently emerged as a powerful platform for dynamic electromagnetic processing in both space and time. Most of the related research so far has assumed abrupt parameter profiles. This paper extends the field…

Optics · Physics 2025-09-11 Zhiyu Li , Xikui Ma , Klaas De Kinder , Amir Bahrami , Christophe Caloz

We report on ab initio simulation of fluid interface deformations induced either by acoustic or optical radiation pressure. This is done by solving simultaneously the scalar wave propagation equation and the two-phase flow equations using…

We analyze the propagation of a pulse across a vacuum gap separating opposite flat parallel faces of two transparent dielectrics by means of an explicitly causal and retarded propagator constructed directly from the free-space wave…

Optics · Physics 2008-07-17 Vera L. Brudny , W. Luis Mochán

Dynamic modulation of material properties in space and time enables powerful control over wave propagation, yet existing theories largely rely on idealized, nondispersive models. In realistic media, frequency dispersion can strongly reshape…

Optics · Physics 2026-04-02 Klaas De Kinder , Christophe Caloz

Time-varying metamaterials are artificial materials whose electromagnetic properties change over time. Similar to a spatial medium discontinuity, a sudden change in time of the metamaterial refractive index induces the generation of a…

Classical Physics · Physics 2025-02-06 Davide Ramaccia , Alessandro Toscano , Filiberto Bilotti

We study the mass-conserved reaction-diffusion system known as the wave-pinning model, which serves as a minimal framework for describing cell polarity. In this model, the interplay between reaction kinetics and slow diffusion forms a sharp…

Dynamical Systems · Mathematics 2026-01-09 Shunsuke Kobayashi , Koya Sakakibara , Taikei Uechi

We theoretically study negative refraction of inhomogeneous waves at the interface of lossy isotropic media. We obtain explicit (up to the sign) expressions for the parameters of a wave transmitted through the interface between two lossy…

Optics · Physics 2014-02-19 Vladimir Yu. Fedorov , Takashi Nakajima

The dynamics of a driven interface in a medium with random pinning forces is analyzed. The interface undergoes a depinning transition where the order parameter is the interface velocity $v$, which increases as $v \sim (F-F_c)^\theta$ for…

Condensed Matter · Physics 2009-10-28 Heiko Leschhorn , Thomas Nattermann , Semjon Stepanow , Lei-Han Tang

Temporal metamaterials, created by modulating the refractive index in time, offer powerful means of controlling wave propagation but still lack a systematic design methodology. Here, we develop an analytic inverse-design framework rooted in…

Time-reflection is a uniform inversion of the temporal evolution of a signal, which arises when an abrupt change in the properties of the host material occurs uniformly in space. At such a time-interface, a portion of the input signal is…

Applied Physics · Physics 2023-06-28 Hady Moussa , Gengyu Xu , Shixiong Yin , Emanuele Galiffi , Younes Radi , Andrea Alù

The onset of frictional motion at the interface between two distinct bodies in contact is characterized by the propagation of dynamic rupture fronts. We combine friction experiments and numerical simulations to study the properties of these…

Geophysics · Physics 2020-02-03 Ilya Svetlizky , Gabriele Albertini , Gil Cohen , David S. Kammer , Jay Fineberg

An intrinsic feature of nearly all internal interfaces in crystalline systems (homo- and hetero-phase) is the presence of disconnections (topological line defects constrained to the interface that have both step and dislocation character).…

Materials Science · Physics 2023-05-12 Caihao Qiu , Marco Salvalaglio , David J. Srolovitz , Jian Han

We propose a lattice model to study the dynamics of a driven interface in a medium with random pinning forces. For driving forces F smaller than a threshold force F_c the whole interface gets pinned. The depinning transition can be…

Condensed Matter · Physics 2009-10-22 Heiko Leschhorn

Multimode interference reflectors (MIRs) were recently introduced as a new type of photonic integrated devices for on-chip, broadband light reflection. In the original proposal, different MIRs were demonstrated based on total internal…

Optics · Physics 2015-07-30 Javier S. Fandiño , José D. Doménech , Pascual Muñoz