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We consider light scattering by dielectric gratings supporting optical bound states in the continuum. Due to the presence of instantaneous Kerr nonlinearity the critical field enhancement in the spectral vicinity of the bound state triggers…

Optics · Physics 2020-09-16 Dmitrii N. Maksimov , Andrey A. Bogdanov , Evgeny N. Bulgakov

A nonlinear electromagnetic scattering problem is studied in the presence of bound states in the radiation continuum. It is shown that the solution is not analytic in the nonlinear susceptibility and the conventional perturbation theory…

Mathematical Physics · Physics 2012-03-12 Friends Remy Ndangali , Sergei V. Shabanov

We present a theoretical analysis of the nonlinear response of a metamaterial consisting of an array of split ring resonators coupled to a two level atomic system (2LS) without inversion. We calculated the total complex susceptibility and…

Optics · Physics 2011-02-23 J. L. Garcia-Pomar , R. Beigang , M. Rahm

Optical bound state in the continuum (BIC) is characterized by infinitely high quality factor resulting in drastic enhancement of light-matter interaction phenomena. We study the optical response of a one-dimensional photonic crystal slab…

Optics · Physics 2018-07-04 S. D. Krasikov , A. A. Bogdanov , I. V. Iorsh

A new method to find the propagation equation system governing the scattering of an electromagnetic wave by a nonlinear medium is proposed. The aim is to let the effects appear spontaneously, deleting as far as possible the phenomenological…

Optics · Physics 2010-11-08 Pierre Godard , Frederic Zolla , Andre Nicolet

We perform a theoretical study of the nonlinear optical response of an ultrathin film consisting of oriented linear aggregates. A single aggregate is described by a Frenkel exciton Hamiltonian with uncorrelated on-site disorder. The exciton…

Disordered Systems and Neural Networks · Physics 2007-10-25 J. A. Klugkist , V. A. Malyshev , J. Knoester

The nonlinear optical response of an excitonic insulator coupled to lattice degrees of freedom is shown to depend in strong and characteristic ways on whether the insulating behavior originates primarily from electron-electron or…

Strongly Correlated Electrons · Physics 2021-01-04 Denis Golez , Zhiyuan Sun , Yuta Murakami , Antoine Georges , Andrew J. Millis

Nonlinear optics is a rapidly growing field that has found a wide range of applications. A major limitation, however, is the demand of high power, especially for high-order nonlinearities. Here, by reconfiguring a multiple-scattering…

Optics · Physics 2022-08-19 Yaniv Eliezer , Ulrich Ruhrmair , Nils Wisiol , Stefan Bittner , Hui Cao

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

We study numerically the nonintegrable dynamics of coherent, solitonic, nonlinear waves, in a spatially nonlocal nonlinear Schrodinger equation relevant to realistic modelling of optical systems: the Schrodinger-Helmholtz equation. We…

Pattern Formation and Solitons · Physics 2025-05-15 Clement Colleaux , Jonathan Skipp , Sergey Nazarenko , Jason Laurie

Scattering of resonant radiation in a dense two-level medium is studied theoretically with account for local field effects and renormalization of the resonance frequency. Intrinsic optical bistability is viewed as switching between…

Quantum Physics · Physics 2015-05-20 M. G. Gladush , D. V. Kuznetsov , A. A. Panteleev , Vl. K. Roerich

Light-actuated motors, vehicles, and even space sails have drawn tremendous attention for basic science and applications in space, biomedical, and sensing domains. Optical bound states in the continuum (BIC) are topological singularities of…

Optics · Physics 2022-04-06 Haoye Qin , Walid Redjem , Boubacar Kante

We report on a bistable light transmission through a planar metamaterial composed of a metal pattern of weakly asymmetric elements placed on a nonlinear substrate. Such structure bears the Fano-like sharp resonance response of a…

A model of nonlinear optical system surrounded by two loops of feedback is investigated. The cell with the vapor of rubidium - type atoms is taken in the capacity of nonlinear element. Two modes of near-resonant electromagnetic field…

Quantum Physics · Physics 2015-05-20 George P. Miroshnichenko , Alexander I. Trifanov

Optical bound-states in the continuum (BICs) have greatly enriched the field of nonlinear optics with novel ways to control and manipulate light-matter interaction at the nanoscale. This has been made possible by their unique physical…

Optics · Physics 2025-03-17 Ji Tong Wang , Nicolae C. Panoiu

Photonic bound states in the continuum are spatially localised modes with infinitely long lifetimes that exist within a radiation continuum at discrete energy levels. These states have been explored in various systems where their emergence…

Optics · Physics 2024-06-07 Wenhui Wang , Antonio Günzler , Bodo D. Wilts , Matthias Saba

We address a two level system in an environment interacting with the electromagnetic field in the dipole approximation. The resonant optical bistability induced by local-field effects is studied by considering the relationship between the…

Optics · Physics 2012-11-19 A. V. Malyshev

Nonlinear coherent modes are the collective states of trapped Bose atoms, corresponding to different energy levels. These modes can be created starting from the ground state condensate that can be excited by means of a resonant alternating…

Condensed Matter · Physics 2009-11-07 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

We consider the light scattering from a pair of point-like electrical dipoles. Whenever the polarizability of each dipole violates the optical theorem, the response of the pair (both in far-field and near-field) exhibits exact resonances as…

We derive a universal model for atom pairs interacting with non-resonant light via the polarizability anisotropy, based on the long range properties of the scattering. The corresponding dynamics can be obtained using a nodal line technique…

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