2 edition of Dynamical properties of nonlinear optical systems with two coupled resonators found in the catalog.
Dynamical properties of nonlinear optical systems with two coupled resonators
|LC Classifications||QC3 .Z47 1994|
|The Physical Object|
|Pagination||101 p. :|
|Number of Pages||101|
|LC Control Number||95135955|
8 Nonlinear Effects in Microfibers and Microcoil Resonators Muhammad I.M. Abdul Khudus, Rand Ismaeel, Gilberto Brambilla, Neil G. R. Broderick, and Timothy Lee. Introduction Linear Optical Properties of Optical Microfibers Linear Properties of Optical Microcoil Resonators Nonlinear Optics of Photonic Crystals and Meta-Materials Arthur R McGurn Chapter 1 Introduction In this book an introduction and discussion of some of the basic principles of linear and nonlinear optical nano-systems are given. The focus is on engineered optical systems that have been of recent interest in physics, engineering, and applied
8 Nonlinear Effects in Microfibers and Microcoil Resonators Muhammad I.M. Abdul Khudus, Rand Ismaeel, Gilberto Brambilla, Neil G. R. Broderick, and Timothy Lee Introduction Linear Optical Properties of Optical Microfibers Linear Properties of Optical Microcoil Resonators The dynamics of two coupled nonlinear oscillators, specifically limit cycles as well as chaotic oscillators, are studied in detail for various dynamical transitions for both cases. Here, we show that dynamic or static attractive–repulsive interactions can induce an important transition from the oscillatory to steady state in identical
We study dynamical hysteresis in a simple class of nonlinear ordinary differential equations, namely first-order equations subject to sinusoidal forcing. The assumed nonlinearities are such that the area of the hysteresis loop vanishes as the forcing frequency tends to zero; in other words, there is no static hysteresis. Using regular and singular perturbation techniques, we derive the first From symmetry properties of the diffeomorphism it follows that if the image of the point (A 1,B 1) is (A 2,B 2), then the image of the point (A 2,−B 2) is (A 1,−B 1), and the image of the point (−A 2,B 2) is (−A 1,B 1).This gives that the trajectory pattern in A–B projection has reflection symmetry for axes A and B. (This does not mean that any trajectory has this symmetry, in
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The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the International Conference on Dynamical Systems: Theory and Applications, held in Łódź, Poland on December We demonstrate a system composed of two resonators that are coupled solely through a nonlinear interaction, and where the linear properties of each resonator can be controlled locally.
We show that this class of dynamical systems has peculiar properties with important consequences for the study of classical and quantum nonlinear optical :// 'Nonlinear Optical Systems achieves an unmatched coverage in a field that has grown into many sub-disciplines in a very clear and coherent manner.
This is a beautiful and self-contained book that starts with the fundamentals and goes on to cover the dynamical phenomena and optical pattern formation in quantum optical :// Schroedinger Equations in Nonlinear Systems by Wu-Ming Liu,available at Book Depository with free delivery :// A distinctive discussion of the nonlinear dynamical phenomena of semiconductor lasers.
The book combines recent results of quantum dot laser modeling with mathematical details and an analytic understanding of nonlinear phenomena in semiconductor lasers and points out possible applications of lasers in cryptography and chaos control.
This interdisciplinary approach makes it a unique and Many complex systems operate with loss. Mathematically, these systems can be described as non-Hermitian.
A property of such a system is that there can exist certain conditions—exceptional points—where gain and loss can be perfectly balanced and exotic behavior is predicted to occur.
Optical systems generally possess gain and loss and so are ideal systems for exploring exceptional point Several recent studies have also focused on fundamental emergent behaviors in coupled micro/nanomechanical syst15,16,17 and the mutual coupling between two distinct mechanical resonators Nonlinear photonic 1 and optomechanical crystals 2,3,4, as well as atomic Bose–Einstein condensates in optical lattices 5,6,7 are well-known examples for which nonlinear phenomena in periodic ?error=cookies_not_supported&code=a Abstract.
We consider chaotic dynamics of a system of two coupled ring resonators with a linear gain and a nonlinear absorption.
Such a structure can be implemented in various settings including microresonator nanostructures, polariton condensates, optical waveguides or atomic Bose–Einstein condensates of ultra-cold atoms placed in a circular-shaped :// This book explores the diverse types of Schrödinger equations that appear in nonlinear systems in general with a specific focus on the nonlinear transmission networks and Bose–Einstein Condensates and discusses the problem of the well-posedness of boundary value problems in mathematical › Physics › Theoretical, Mathematical & Computational Physics.
The open access journal for physics New Jou rnal of Ph ys ics Nonlinear quantum metrology using coupled nanomechanical resonators M J Woolley1, G J Milburn1 and Carlton M Caves1,2 1 Department of Physics, School of Physical Sciences, University of Queensland, St Lucia, QueenslandAustralia Two spatially extended systems are considered for this purpose: the driven Kerr optical cavities subjected to optical injection and the broad-area surface-emitting lasers with a saturable :// This book provides a comprehensive introduction to the theoretical and experimental studies of atomic optical bistability and multistability, and their dynamical properties in systems with two- and three-level inhomogeneously-broadened atoms inside an optical :// Although most laser resonators are designed as stable resonators, unstable resonators can have substantial advantages in certain cases.
In particular, they can help to generate a laser beam with very high optical power and still relatively high beam quality.A frequent problem with stable resonators in such cases is that a large enough fundamental resonator mode cannot be realized, or that this Optomechanical system, a hybrid system where mechanical and optical degrees of freedom are mutually coupled, is a new platform for studying quantum optics.
In a typical optomechanical setup, the cavity is driven by a large amplitude coherent sate of light to enhance the effective optomechanical coupling. This system can be linearized around its classical steady state, and many interesting X/abstract.
2 Dynamical Equations and Regimes Mirror Coordinates The dynamical system we study in this paper is a Fabry-Perot cavity with two suspended mirrors, labeled by aand b, and a laser incident on the cavity from one side. A suspended mirror is a rigid body with six degrees of freedom, whose dynamics depends on the suspension design.
In this paper Optical frequency combs are one of the most remarkable inventions in recent decades. Originally conceived as the spectral counterpart of the train of short pulses emitted by mode-locked lasers, frequency combs have also been subsequently generated in continuously pumped microresonators, through third-order parametric processes.
Quite recently, direct generation of optical frequency combs () Steady-state regimes prediction of a multi-degree-of-freedom unstable dynamical system coupled to a set of nonlinear energy sinks. Mechanical Systems and Signal Processing() Dynamics of Wideband Time-Delayed Optoelectronic Oscillators With Nonlinear :// Coupled nonlinear resonators have potential applications for the integration of multistable photonic devices.
The dynamic properties of two coupled-mode nonlinear microcavities made of Kerr The currents i 1 and i 2 for Ω = (T = ), which lies in the region where both multistability and localization occur, are shown in Fig. 5 as a function of τ, both for the high (Fig.
5a) and the low (Fig. 5b) energy states. In the same figures we also plot cos (Ω τ) which is directly proportional to the applied magnetic field. The relative phase difference between the applied magnetic.
The characterization of the intracavity power distribution in each of the coupled resonators, performed by observing the spectra over different nonlinear regimes, provides a further understanding of the nonlinear dynamics in coupled nonlinear systems.
Here, we use a theoretical model based on coupled mode theory 31 B. ://By recirculating light in a nonlinear propagation medium, the nonlinear optical cavity allows for countless options of light transformation and manipulation.
In passive media, optical bistability and frequency conversion are central figures. In active media, laser light can be generated with versatile underlying dynamics. Emphasizing on ultrafast dynamics, the vital arena for the information +Optical. that two coupled nonlinear cavities can exhibit symmetry breaking: when equal power is injected on both sides of the coupled cavities, the reﬂected output power is differ-ent on both sides of the cavities due to nonlinear effects.
The symmetry breaking would not be possible in a linear structure. In this paper we couple multiple passive