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Optical spatiotemporal vortices with transverse photon orbital angular momentum (OAM) have recently become a focal point of research. In this work we theoretically and experimentally investigate optical spatiotemporal vortices with radial…

Optics · Physics 2024-01-26 Xin Liu , Qian Cao , Nianjia Zhang , Andy Chong , Yangjian Cai , Qiwen Zhan

Despite the abundance and importance of three-dimensional systems, relatively little progress has been made on spatiotemporal nonlinear optical waves compared to time-only or space-only systems. Here we study radiation emitted by…

We investigate wave propagation in rotationally symmetric tubes with a periodic spatial modulation of cross section. Using an asymptotic perturbation analysis, the governing quasi two-dimensional reaction-diffusion equation can be reduced…

Pattern Formation and Solitons · Physics 2017-01-05 A. Ziepke , S. Martens , H. Engel

This paper is concerned with a model for the dynamics of a single species in a one-dimensional heterogeneous environment. The environment consists of two kinds of patches, which are periodically alternately arranged along the spatial axis.…

Analysis of PDEs · Mathematics 2024-07-04 François Hamel , Frithjof Lutscher , Mingmin Zhang

As a new degree of freedom for optical manipulation, recently spatiotemporal optical vortices (STOVs) carrying transverse orbital angular momentums have been experimentally demonstrated with pulse shapers. Here a spatiotemporal…

Optics · Physics 2022-02-08 Junyi Huang , Jiahao Zhang , Tengfeng Zhu , Zhichao Ruan

We study cumulative scattering effects on wave front propagation in time dependent randomly layered media. It is well known that the wave front has a deterministic characterization in time independent media, aside from a small random shift…

Analysis of PDEs · Mathematics 2016-01-20 Liliana Borcea , Knut Solna

Curved electromagnetic beams at terahertz (THz) frequencies have recently emerged as a powerful example of wavefront engineering, with applications in imaging and high-capacity wireless communications. Unlike canonical self-accelerating…

Optics · Physics 2026-02-11 Wei Jia , Miguel Gomez , Steve Blair , Berardi Sensale-Rodriguez

Paraxial wave packets with discrete spatial, temporal, or spatiotemporal spectra are known to undergo periodic axial revivals on propagation in either free space or linear transparent, weakly dispersive media. Such spectacular revivals,…

Optics · Physics 2026-03-18 Yanlin Bai , Yangjian Cai , Chunhao Liang , Sergey A. Ponomarenko

In this Letter, we employ the complex screen method to investigate the dynamic evolution of partially coherent pulses with specified properties as they propagate through a nonlinear Kerr medium. Our results reveal that partially coherent…

We study the unidirectional transport of two-particle quantum wavepackets in a regular one-dimensional lattice. We show that the bound-pair state component behaves differently from unbound states when subjected to an external pulsed…

Quantum Physics · Physics 2017-08-22 A. R. C. Buarque , W. S. Dias

Surface plasmon polaritons (SPPs) are surface-bound waves at metal-dielectric interfaces that exhibit strong out-of-plane field confinement, a key feature for applications is nano-scale sensing and imaging. However, this advantage is offset…

Uninhibited control of the complex spatiotemporal quantum wavefunction of a single photon has so far remained elusive even though it can dramatically increase the encoding flexibility and thus the information capacity of a photonic quantum…

In structured light with controllable degrees of freedom (DoFs), the vortex beams carrying orbital angular momentum (OAM) give access to provide additional degrees of freedom for information transfer, and in classic field, the propagation…

Optics · Physics 2022-08-16 Minhui Xiong , Ren Wang , Qinyu Zhou , Bing-Zhong Wang

In dispersive media, hydrodynamic singularities are resolved by coherent wavetrains known as dispersive shock waves (DSWs). Only dynamically expanding, temporal DSWs are possible in one-dimensional media. The additional degree of freedom…

Pattern Formation and Solitons · Physics 2017-11-01 M. A. Hoefer , G. A. El , A. M. Kamchatnov

The nonlinear stage of development of the spatiotemporal instability of the monochromatic Townes beam in a medium with self-focusing nonlinearity and normal dispersion is studied by analytical and numerical means. Small perturbations to the…

Optics · Physics 2009-11-13 Miguel A. Porras , Alberto Parola

We demonstrate both theoretically and experimentally nonparaxial Mathieu and Weber accelerating beams, generalizing the concept of previously found accelerating beams. We show that such beams bend into large angles along circular,…

We consider the existence and spectral stability of nonlinear discrete localized solutions representing light pulses propagating in a twisted multi-core optical fiber. By considering an even number, $N$, of waveguides, we derive asymptotic…

Pattern Formation and Solitons · Physics 2022-06-29 Ross Parker , Yannan Shen , Alejandro Aceves , John Zweck

Propagation, transmission and reflection properties of linearly polarized plane waves and arbitrarily short electromagnetic pulses in one-dimensional dispersionless dielectric media possessing an arbitrary space-time dependence of the…

From a classical analysis, it is shown that the nondiffractive accelerating gravitational Airy wave packets are solutions of Einstein equations for their linearized tensor modes in a Friedmann-Lema\^itre-Robertson-Walker cosmological…

General Relativity and Quantum Cosmology · Physics 2025-06-25 Claudio Aravena-Plaza , Víctor Muñoz , Felipe A. Asenjo

With exotic propagation properties, optical Airy beams have been well studied for innovative applications in communications, biomedical imaging, micromachining, and so on. Here we extend those studies to the quantum domain, creating quantum…

Quantum Physics · Physics 2018-08-29 Stephanie Maruca , Santosh Kumar , Yong Meng Sua , Jia-Yang Chen , Amin Shahverdi , Yu-Ping Huang