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Finding reliably and efficiently the spectrum of the resonant states of an optical system under varying parameters of the medium surrounding it is a technologically important task, primarily due to various sensing applications.…

Optics · Physics 2023-09-28 S. F. Almousa , E. A. Muljarov

The general perturbative expression for the lateral Casimir force between two plates covered by longitudinal corrugations of arbitrary shape is obtained. This expression is applicable for corrugation periods larger than the separation…

Quantum Physics · Physics 2009-11-10 E. V. Blagov , G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

The downscaling of optical systems to the micro and nano-scale results in very compliant systems with nanogram-scale masses, which renders them susceptible to optical forces. Here we show a specially designed resonant structure for enabling…

Modulation instability in a nonlinear optical waveguide array with alternating positive and negative refractive indices is investigated analytically. Particular solutions of a system of coupled nonlinear equations are found. These solutions…

Pattern Formation and Solitons · Physics 2014-09-30 A. A. Dovgiy , A. I. Maimistov

We propose a superconducting electrical circuit that simulates a quadratic optomechanical system. A capacitor placed between two transmission-line (TL) resonators acts like a semi-transparent membrane, and a superconducting quantum…

Quantum Physics · Physics 2015-04-08 Eun-jong Kim , J. R. Johansson , Franco Nori

We observe the opto-mechanical multistability of a macroscopic torsion balance oscillator. The torsion oscillator forms the moving mirror of a hemi-spherical laser light cavity. When a laser beam is coupled into this cavity, the radiation…

Optics · Physics 2009-11-13 F. Mueller , S. Heugel , L. J. Wang

We present the analysis of an unorthodox technique for locking a laser to a resonant optical cavity. Error signals are derived from the interference between the fundamental cavity mode and higher-order spatial modes of order two excited by…

Optics · Physics 2014-11-03 John Miller , Matthew Evans

We study an extended system that without noise shows a spatially homogeneous state, but when submitted to an adequate multiplicative noise, some "noise-induced patterns" arise. The stochastic resonance between these structures is…

Pattern Formation and Solitons · Physics 2013-05-29 B. von Haeften , G. Izús , S. Mangioni , A. D. Sánchez , H. S. Wio

We derive a general theory of linear coupling and Kerr nonlinear coupling between modes of dielectric optical resonators from first principles. The treatment is not specific to a particular geometry or choice of mode basis, and can…

Optics · Physics 2022-03-14 Jonathan M. Silver , Pascal Del'Haye

Two oscillators coupled to a two-level system which in turn is coupled to an infinite number of oscillators (reservoir) are considered, bringing to light the occurrence of synchronization. A detailed analysis clarifies the physical…

Quantum Physics · Physics 2017-09-13 B. Militello , H. Nakazato , A. Napoli

Statistical mechanics can provide a versatile theoretical framework for investigating the collective dynamics of weakly nonlinear waves-settings that can be utterly complex to describe otherwise. In optics, composite systems arise due to…

Optics · Physics 2024-04-04 Nikolaos K. Efremidis , Demetrios N. Christodoulides

A widely-known paradigm in optomechanical systems involves coupling the square of the position of a mechanical oscillator to an electromagnetic field. We discuss how, in the so-called resolved sideband regime, this system allows to simulate…

Quantum Physics · Physics 2018-06-27 David Edward Bruschi , André Xuereb

We study the optical force arising when isolated gold nanowire pairs and metamaterials with a gold nanowire pair in the unit cell are illuminated with laser radiation. Firstly, we show that isolated nanowire pairs are subject to much…

Materials Science · Physics 2012-03-22 Rongkuo Zhao , Philippe Tassin , Thomas Koschny , Costas M. Soukoulis

The resemblance between electrons and optical waves has strongly driven the advancement of mesoscopic physics. However, electron waves have yet to be understood in open cavity structures which have provided contemporary optics with rich…

We consider the optomechanical system consisting of an atom-cavity system coupled with a mechanical resonator, and expand the notion of quasi-dark state to the optomechanical system. We theoretically prove that even if both the one-mode…

Quantum Physics · Physics 2015-03-17 Masao Hirokawa

We study convective stability of a two-front superposition in a reaction-diffusion system. Due to the instability of the connecting equilibrium, long-range semi-strong interaction is expected between the two waves. When restricting to the…

Analysis of PDEs · Mathematics 2026-05-27 Louis Garénaux , Bastian Hilder

Optical forces - studied since the earliest days of laser physics - continue to reveal rich dynamics and enable powerful tools for manipulation of objects on micro- and nanoscales, and even individual atoms. Lateral optical forces, which…

One-dimensional optical waveguiding is revisited using the electromagnetic deduction of Fresnel formulas relating the incident, reflected, and transmitted waves on the abrupt interface between two different optical media. Throughout the…

It has been proven that when connecting two infinite semi-cylinders or waveguides with a finite cylinder or resonator at a certain frequency, it is possible to transmit a signal almost completely from one semi-cylinder to another. In this…

Mathematical Physics · Physics 2024-11-26 Andrey L. Delitsyn , Irina K. Troshina

The maximum amplitude of mechanical oscillators coupled to optical cavities are studied both analytically and numerically. The optical backaction on the resonator enables self-sustained oscillations whose limit cycle is set by the dynamic…

Optics · Physics 2013-10-23 M. Poot , K. Y. Fong , M. Bagheri , W. H. P. Pernice , H. X. Tang