6533b7d2fe1ef96bd125f434
RESEARCH PRODUCT
Analytical investigation of solitary waves in nonlinear Kerr medium
Souraya Goumri-saidSouraya Goumri-saidB. BelgoumèneH. AouragR. Moussasubject
PhysicsSlowly varying envelope approximationKerr effectWave propagationOrganic ChemistryMathematical analysisNonlinear opticssine-Gordon equationAtomic and Molecular Physics and OpticsElectronic Optical and Magnetic MaterialsInorganic ChemistryNonlinear systemsymbols.namesakeClassical mechanicssymbolsSolitonElectrical and Electronic EngineeringPhysical and Theoretical ChemistryNonlinear Sciences::Pattern Formation and SolitonsNonlinear Schrödinger equationSpectroscopydescription
Abstract We study analytically the solution of nonlinear equation which result from the propagation of electromagnetic waves within a nonlinear Kerr medium. The medium is characterized by a dielectric constant which varies periodically and depends on the local field intensity. As a first step, we detail the resolution of the nonlinear equations with a quadratic nonlinearity. After that, we apply the slowly varying envelope approximation to obtain a Sine–Gordon equation. In this kind of nonlinearity, a gap solitons occurs. Moreover we verify that the solutions of the nonlinear equation for all frequencies within the gap are solitons solutions. After that we study the conditions of apparition of these particular solutions (i.e. soliton or anti-soliton) which are very suitable in experiments.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-11-01 | Optical Materials |