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We derive a general theory of effective properties in metasolids based on phononic crystals with low frequency resonances. We demonstrate that in general these structures need to be described by means of a frequency-dependent and non-local…

Materials Science · Physics 2015-12-09 Daniel Torrent , Yan Pennec , Bahram Djafari-Rouhani

Wave propagation in spatially periodic media, such as photonic crystals, can be qualitatively different from any uniform substance. The differences are particularly pronounced when the electromagnetic wavelength is comparable to the…

Optics · Physics 2007-05-23 A. Figotin , I. Vitebskiy

A better understanding of the optical properties of a device structure characterized by a random arrangement of materials with different dielectric properties at a length scale comparable to the wavelength of light is crucial for the…

Optics · Physics 2015-04-08 Ilka Kriegel , Francesco Scotognella

The control of light through all-optical means is a fundamental challenge in nanophotonics and a key effect in optical switching and logic. The optical bistability effect enables this control and can be observed in various planar photonic…

Refractive index and absorption experienced by a probe field propagating through a three-level atomic medium can be effectively manipulated by the bistable behavior of a control field. The probe field couples the lower transition of the…

Optics · Physics 2013-01-03 H. Aswath Babu , Harshawardhan Wanare

In this theoretical study, we show that a simple endlessly single-mode photonic crystal fiber can be designed to yield, not just two, but three zero-dispersion wavelengths. The presence of a third dispersion zero creates a rich…

Optics · Physics 2015-05-19 S. P. Stark , F. Biancalana , A. Podlipensky , P. St. J. Russell

Controlling how an open photonic system exchanges energy with its environment-and in particular how it radiates into the far field-is a cornerstone of non-Hermitian wave physics and a key enabler for directional photonic functionalities.…

We study longitudinal and transverse wave propagation in beams with elastic properties that are periodically varying in space and time. Spatiotemporal modulation of the elastic properties breaks mechanical reciprocity and induces one-way…

Materials Science · Physics 2016-09-21 Giuseppe Trainiti , Massimo Ruzzene

This paper is about statistical properties of quasistatic dynamical systems. These are a class of non-stationary systems that model situations where the dynamics change very slowly over time due to external influence. We focus on the case…

Dynamical Systems · Mathematics 2018-07-05 Juho Leppänen

We demonstrate that one-dimensional photonic crystals with pure nematic liquid-crystal defects can operate as all-optical switching devices based on optical orientational nonlinearities of liquid crystals. We show that such a periodic…

Soft Condensed Matter · Physics 2009-11-13 Andrey E. Miroshnichenko , Etienne Brasselet , Yuri S. Kivshar

We study optical coefficients that characterize wave propagation through layered structures called plasmonic crystals. These consist of a finite number of stacked metallic sheets embedded in dielectric hosts with a subwavelength spacing. By…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Matthias Maier , Mitchell Luskin , Dionisios Margetis

Nonreciprocity is important for optical information processing, full-duplex communications, and protection of sensitive laser equipment from unwanted reflections. However, it is very challenging to obtain strong nonreciprocal response in…

Optics · Physics 2022-12-22 Tianjing Guo , Christos Argyropoulos

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…

An exact method that analytically provides transfer matrices in finite networks of quasicrystalline approximants of any dimensionality is discussed. We use these matrices in two ways: a) to exactly determine the band structure of an…

Condensed Matter · Physics 2016-08-31 K. Moulopoulos , S. Roche

We study analytically the dynamics of two-dimensional rectangular lattices with periodic boundary conditions. We consider anisotropic initial data supported on one low-frequency Fourier mode. We show that, in the continuous approximation,…

Dynamical Systems · Mathematics 2021-04-23 Matteo Gallone , Stefano Pasquali

Electronic states in quasiperiodic crystals generally preclude a Bloch description, rendering them simultaneously fascinating and enigmatic. Owing to their complexity and relative scarcity, quasiperiodic crystals are underexplored relative…

We study theoretically the spatial evolution of optical beams inside a graded-index fiber exhibiting saturable nonlinearity. Utilizing an approach based on the variational principle, we identify the existence of bistable spatial solitons…

Optics · Physics 2026-02-10 Tiyas Das , Anuj P. Lara , Samudra Roy , Govind P. Agrawal

A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via triads with nonzero frequency mismatch, applicable in meteorology, nonlinear optics and plasma wave turbulence. We…

Fluid Dynamics · Physics 2015-06-19 Miguel D. Bustamante , Brenda Quinn , Dan Lucas

We investigate experimentally and theoretically the nonlinear propagation of 87Rb Bose Einstein condensates in a trap with cylindrical symmetry. An additional weak periodic potential which encloses an angle with the symmetry axis of the…

Condensed Matter · Physics 2009-11-10 Th. Anker , M. Albiez , B. Eiermann , M. Taglieber , M. K. Oberthaler

We study the dynamics of femtosecond light pulse propagation in a cubic-quintic medium exhibiting dispersive effect up to the fourth order as well as self-frequency shift and self-steepening nonlinearity. A rich variety of periodic and…

Pattern Formation and Solitons · Physics 2022-10-19 Vladimir I. Kruglov , Houria Triki