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In this presentation, we analytically derive the dispersion equation for surface waves traveling along reactive boundaries which are periodically modulated in time. In addition, we show numerical results for the dispersion curves and…

Optics · Physics 2021-08-03 Xuchen Wang , Mohammad S. Mirmoosa , Sergei A. Tretyakov

Unraveling real eigenfrequencies in non-Hermitian $\mathcal{PT}$-symmetric Hamiltonians has opened new avenues in quantum physics, photonics, and most recently, phononics. However, the existing literature squarely focuses on exploiting such…

Classical Physics · Physics 2022-10-07 M. Moghaddaszadeh , M. A. Attarzadeh , A. Aref , M. Nouh

We give an exact application of a recently developed, operator-based theory of wave propagation in dispersive, time-varying media. Using this theory we find that the usual symmetry of complex conjugation plus changing the sign of the…

Space-time varying media enable unprecedented control over electromagnetic waves, yet most existing studies assume idealized, nondispersive materials and thus fail to capture the intrinsic frequency dispersion of realistic platforms. Here,…

Optics · Physics 2025-12-16 Klaas De Kinder , Christophe Caloz

Floquet time crystals, characterized by momentum gaps (k-gaps), have sparked intense interest across various branches of physics due to their intriguing dynamics and promising applications. Despite growing theoretical efforts, the…

Applied Physics · Physics 2025-06-02 Z. Liu , X. Zhu , Z. G. Zhang , W. M. Zhang , X. Chen , Y. Q. Yang , R. W. Peng , M. Wang , J. Li , H. W. Wu

On certain self-similar substrates the time behavior of a random walk is modulated by logarithmic periodic oscillations on all time scales. We show that if disorder is introduced in a way that self-similarity holds only in average, the…

Statistical Mechanics · Physics 2015-05-20 L. Padilla , H. O. Mártin , J. L. Iguain

This work extends the theory of topological protection to dispersive systems. This theory has emerged from the field of topological insulators and has been established for continuum models in both classical and quantum settings. It predicts…

Analysis of PDEs · Mathematics 2023-11-13 Konstantinos Alexopoulos , Bryn Davies

The propagation of acoustic and elastic waves in time-varying, spatially homogeneous media can exhibit different phenomena when compared to traditional spatially-varying, temporally-homogeneous media. In the present work, the response of a…

Applied Physics · Physics 2023-04-05 Brian L. Kim , Christoper Chong , Setare Hajarolasvadi , Yifan Wang , Chiara Daraio

Time-varying optical materials have attracted recent interest for their potential to enable frequency conversion, nonreciprocal physics, photonic time-crystals, and more. However, the description of time-varying materials has been primarily…

Material band structure is key foundation for various modern technologies, but it was regarded as a space-time invariant feature. Acoustic metamaterials show extraordinary properties for processing elastic waves, but conventional…

Applied Physics · Physics 2020-03-11 Xin Fang , Jihong Wen , Dianlong Yu

Diffraction phenomena usually can be formulated in terms of a potential that induces the redistribution of a wave's momentum. Using an atomic Bose-Einstein condensate coupled to the orbitals of a state-selective optical lattice, we…

Quantum Gases · Physics 2015-08-26 Jeremy Reeves , Ludwig Krinner , Michael Stewart , Arturo Pazmiño , Dominik Schneble

The mechanism of acoustic wave propagation in supercooled liquids is not yet fully understood since the vibrational dynamics of supercooled liquids are strongly affected by their amorphous inherent structures. In this paper, the acoustic…

Disordered Systems and Neural Networks · Physics 2012-11-16 Yuki Matsuoka , Hideyuki Mizuno , Ryoichi Yamamoto

In many applications, and in particular in seismology, realistic propagation media disperse and attenuate waves. This dissipative behavior can be taken into account by using a viscoacoustic propagation model, which incorporates a complex…

Numerical Analysis · Mathematics 2025-10-20 Jean-Philippe Groby , Chrysoula Tsogka

Temporal modulation of material parameters offers unprecedented control over wave dynamics, enabling phenomena beyond the capabilities of static systems. Here we introduce and analyze a robust mechanism for time rewinding, whereby a…

Optics · Physics 2025-10-17 Seulong Kim , Kihong Kim

We introduce a homogenization approach to characterize the dynamical response of a generic dispersive spacetime crystal in the long-wavelength limit. The theory is applied to dispersive spacetime platforms with a travelling-wave modulation.…

Optics · Physics 2023-07-26 João C. Serra , Mário G. Silveirinha

Photonic time crystals are electromagnetic media with periodically time-varying parameters, enabling momentum band gaps, parametric amplification, and frequency conversion beyond what is possible in time-invariant systems. So far, they have…

Optics · Physics 2026-05-15 Z. Li , M. S. Mirmoosa , V. Asadchy , X. Wang

Diffusive transport is characterized by the scaling law $(length)^{2}\propto(time)$. In this letter we show that this relationship is significantly altered in curved analogue spacetimes. This circumstance provides an opportunity to tailor…

Statistical Mechanics · Physics 2012-06-21 Matteo Smerlak

Spatiotemporally modulated elastic metamaterials have garnered increasing interest for their potential applications in nonreciprocal wave devices. Most existing studies, however, focus on systems where spatiotemporal modulation is…

Applied Physics · Physics 2025-04-29 Yingrui Ye , Chunxia Liu , Alessandro Marzani , Emanuele Riva , Antonio Palermo , Xiaopeng Wang

We derive time reflection and transmission coefficients for 1D acoustic waves encountering a time boundary at which the properties of the medium change instantaneously. The time reflection and transmission coefficients are shown to be…

In this work we address quantum vacuum amplification effects in time-varying media with an arbitrary time-modulation profile. To this end, we propose a theoretical formalism based on the concept of conjugated harmonic oscillators,…

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