Search results for " Nonlinear"
showing 10 items of 1224 documents
Potentialities of glass air-clad micro- and nanofibers for nonlinear optics
2010
Micro- and nanofibers constitute an attractive platform for testing nonlinear devices with millimeter size in a simple and flexible fashion, with potential applications in ultra-fast all-optical communications. In this article, we present challenges that must be addressed and targets that can be reached using such a platform. We describe a tunable laser source capable of delivering pulses with a kilowatt peak power and a sub-0.1-nm linewidth that is specially designed for the study of resonant devices such as the nonlinear loop resonator. Experimental and simulation results are presented for silica microfiber based nonlinear devices. The prospect of developing hybrid devices combining highl…
Nonlinear repolarization dynamics in optical fibers: transient polarization attraction
2011
International audience; In this work, we present a theoretical and experimental study of the response of a lossless polarizer to a signal beam with a time-varying state of polarization (SOP). By lossless polarizer, we mean a nonlinear conservative medium (e.g., an optical fiber) that is counterpumped by an intense and fully polarized pump beam. Such a medium transforms input uniform or random distributions of the SOP of an intense signal beam into output distributions that are tightly localized around a well-defined SOP. We introduce and characterize an important parameter of a lossless polarizer--its response time. Whenever the fluctuations of the SOP of the input signal beam are slower th…
Soft proton exchanged channel waveguides in congruent lithium tantalate for frequency doubling
2010
We report on stable optical waveguides fabricated by soft-proton exchange in periodically-poled congruent lithium tantalate in the a-phase. The channel waveguides are characterized in the telecom wavelength range in terms of both linear properties and frequency doubling. The measurements yield a nonlinear coefficient of about 9.5pm/V, demonstrating that the nonlinear optical properties of lithium tantalate are left nearly unaltered by the process. (C) 2010 Optical Society of America
Linear and nonlinear optical properties of some organoxenon derivatives
2007
We employ a series of state-of-the-art computational techniques to study the effect of inserting one or more Xe atoms in HC2H and HC4H, on the linear and nonlinear optical (L&NLO) properties of the resulting compounds. It has been found that the inserted Xe has a great effect on the L&NLO properties of the organoxenon derivatives. We analyze the bonding in HXeC2H, and the change of the electronic structure, which is induced by inserting Xe, in order to rationalize the observed extraordinary L&NLO properties. The derivatives, which are of interest in this work, have been synthesized in a Xe matrix. Thus the effect of the local field (LF), due to the Xe environment, on the properties of HXeC2…
Accelerated Analysis of Low-Level Injection Operation for Transistor-Based Oscillating Amplifiers
2011
The problem of the accelerated analysis of oscillating amplifiers is addressed. To achieve both computational efficiency and adequate accuracy also in case of transmission-type, transistor-based, circuit structures, a novel approach is proposed which makes use of a general reduced-order model of the injected oscillator. A perturbation-refined analysis method is thus applied, which permits to derive the first-order exact set of differential equations that describes the system behavior in the fundamental-frequency complex-envelope domain. As illustrated by the RF Meissner driven oscillator example presented, the devised approach achieves the stated goals, and lends itself as a convenient, des…
A New Hybrid Mutation Operator for Multiobjective Optimization with Differential Evolution
2011
Differential evolution has become one of the most widely used evolution- ary algorithms in multiobjective optimization. Its linear mutation operator is a sim- ple and powerful mechanism to generate trial vectors. However, the performance of the mutation operator can be improved by including a nonlinear part. In this pa- per, we propose a new hybrid mutation operator consisting of a polynomial based operator with nonlinear curve tracking capabilities and the differential evolution’s original mutation operator, to be efficiently able to handle various interdependencies between decision variables. The resulting hybrid operator is straightforward to implement and can be used within most evoluti…
El tipo de cambio real dólar-euro y el diferencial de intereses reales
2006
This paper investigates whether threshold effects exist in the relationship between dollar-euro real exchange rate and real interest differential, over the period January 1984 to December 2004. We specify a three-regime threshold model and the results provide evidence that there is no threshold effect in the short term, but the nonlinear behaviour of real exchange rate implies threshold effect in the long term. On the other hand, the nonlinearity into the behaviour of real exchange rates can be modelled by a Band-TAR which implies a symmetric response to the real interest differential outside the bank. Finally, into the threshold band the behaviour of real exchange rate is near to follow a …
INVESTIGATION OF ELECTION RESULTS, NUMBERS OF PARTY MEMBERS, AND OPINION POLLS IN GERMANY
2008
Our publication focuses on two different but related topics in politics: in the first part of this publication, we investigate the influence of election results in the elections for the parliaments of the German states and for the German Diet (federal parliament) on the member numbers of the largest parties in the various states. In the second part of this publication, we consider the correlations between opinion polls and election results and focus on the question whether real election results can be predicted by opinion polls.
A free boundary problem stemmed from combustion theory. Part II: Stability, instability and bifurcation results
2002
AbstractWe deal with a free boundary problem, depending on a real parameter λ, in a infinite strip in R2, providing stability, instability and bifurcation.
An algorithmic construction of entropies in higher-order nonlinear PDEs
2006
A new approach to the construction of entropies and entropy productions for a large class of nonlinear evolutionary PDEs of even order in one space dimension is presented. The task of proving entropy dissipation is reformulated as a decision problem for polynomial systems. The method is successfully applied to the porous medium equation, the thin film equation and the quantum drift–diffusion model. In all cases, an infinite number of entropy functionals together with the associated entropy productions is derived. Our technique can be extended to higher-order entropies, containing derivatives of the solution, and to several space dimensions. Furthermore, logarithmic Sobolev inequalities can …