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We consider in the unidirectional approximation the propagation of an ultra short electromagnetic pulse in a resonant medium consisting of molecules characterized by a transition operator with both diagonal and non-diagonal matrix elements.…

可精确求解与可积系统 · 物理学 2009-11-07 Jean-Guy Caputo , Andrei Maimistov

We study the propagation of ultra-short pulses in a cubic nonlinear medium. Using multiple-scale technique, we derive a new wave equation that preserves the nonlocal dispersion present in Maxwell's equations. As a result, we are able to…

可精确求解与可积系统 · 物理学 2007-05-23 Y. Chung , T. Schaefer

We study the propagation of ultra-short short solitons in a cubic nonlinear medium modeled by nonlinear Maxwell's equations with stochastic variations of media. We consider three cases: variations of (a) the dispersion, (b) the phase…

斑图形成与孤子 · 物理学 2015-06-12 Levent Kurt , Tobias Schaefer

The solutions of the reduced Maxwell-Bloch equations for an anisotropic two-level medium, which describe the propagation of electromagnetic pulses having a duration from a few field oscillations, are studied. An influence of the permanent…

可精确求解与可积系统 · 物理学 2015-06-26 N. V. Ustinov

We examine fully coherent two-pulse propagation in a lambda-type medium, under two-photon resonance conditions and including inhomogeneous broadening. We examine both the effects of short pulse preparation and the effects of medium…

量子物理 · 物理学 2007-11-12 B. D. Clader , J. H. Eberly

We introduce a new notion of "matrix potential" to nonlinear optical systems. In terms of a matrix potential $g$, we present a gauge field theoretic formulation of the Maxwell-Bloch equation that provides a semiclassical description of the…

solv-int · 物理学 2009-10-30 Q-Han Park , H. J. Shin

We consider the evolution of ultra-short optical pulses in linear and nonlinear media. For the linear case, we first show that the initial-boundary value problem for Maxwell's equations in which a pulse is injected into a quiescent medium…

可精确求解与可积系统 · 物理学 2009-11-10 Y. Chung , C. K. R. T. Jones , T. Schaefer , C. E. Wayne

Propagation of extremely short pulses of electromagnetic field (electromagnetic spikes) is considered in the framework of the total Maxwell-Duffing model where anharmonic oscillators with cubic nonlinearities (Duffing model) represent the…

斑图形成与孤子 · 物理学 2007-05-23 Andrei I. Maimistov , Jean-Guy Caputo

Maxwell-Bloch system describing the resonant propagation of electromagnetic pulses in both two-level media with degeneracy in angle moment projection and three-level media with equal oscillator forces is considered. The inhomogeneous…

量子物理 · 物理学 2007-05-23 S. B. Leble , N. V. Ustinov

We report the observation of nonexponential decay of pulsed microwave transmission through quasi-one-dimensional random dielectric media that signals the breakdown of the diffusion model of transport for temporally coherent extended waves.…

无序系统与神经网络 · 物理学 2009-11-07 A. A. Chabanov , Z. Q. Zhang , A. Z. Genack

Maxwell's equations are cast in the form of the Schr\"{o}dinger equation. The Lanczos propagation method is used in combination with the fast Fourier pseudospectral method to solve the initial value problem. As a result, a time-domain,…

计算物理 · 物理学 2007-05-23 Andrei G. Borisov , Sergei V. Shabanov

In this article we consider one dimensional model of an ultra short pulse propagation in isotropic dispersionless media taking into account a nonlinearity of the third order. We introduce a method for Maxwell's equations transformation…

光学 · 物理学 2010-06-18 Mateusz Kuszner , Sergey Leble

By using a reductive perturbation method, we derive from Maxwell-Bloch equations a cubic generalized Kadomtsev-Petviashvili equation for ultrashort spatiotemporal optical pulse propagation in cubic (Kerr-like) media without the use of the…

光学 · 物理学 2011-02-08 Hervé Leblond , David Kremer , Dumitru Mihalache

We derive model equations for optical pulse propagation in a medium described by a two-level Hamiltonian, without the use of the slowly varying envelope approximation. Assuming that the resonance frequency of the two-level atoms is either…

斑图形成与孤子 · 物理学 2007-05-23 Herve Leblond , Francois Sanchez

We present a systematic study on linear propagation of ultrashort laser pulses in media with dispersion, dispersionless media and vacuum. The applied method of amplitude envelopes gives the opportunity to estimate the limits of slowly…

光学 · 物理学 2008-01-15 Lubomir M. Kovachev

Propagation of extremely short electromagnetic pulses in a homogeneous doubly-resonant medium is considered in the framework of the total Maxwell-Duffing-Lorentz model, where the Duffing oscillators (anharmonic oscillators with cubic…

斑图形成与孤子 · 物理学 2008-12-31 Y. Frenkel , I. Gabitov , A. Maimistov , V. Roytburd

We show that propagation of ultrashort (few-cycle) pulses in nonlinear Drude metamaterials with both electric and magnetic Kerr nonlinearities is described by coupled generalized Short Pulse Equations. The resulting system of equations…

光学 · 物理学 2016-01-01 Monika E. Pietrzyk , Igor V. Kanattsikov

The propagation of extremely short pulses of electromagnetic field (electromagnetic spikes) is considered in the framework of a model where the material medium is represented by anharmonic oscillators with cubic nonlinearities (Duffing…

斑图形成与孤子 · 物理学 2007-05-23 Elena V. Kazantseva , Andrei I. Maimistov , Jean-Guy Caputo

Recently, Zabolotskii [Phys. Rev. E 77, 036603 (2008)] presented the Lax pair for a version of the reduced Maxwell--Bloch equations. This version was derived under considering the unidirectional propagation of a two-component…

可精确求解与可积系统 · 物理学 2008-08-29 N. V. Ustinov

We study the propagation of few-cycle pulses in two-component medium consisting of nonlinear amplifying and absorbing two-level centers embedded into a linear and conductive host material. First we present a linear theory of propagation of…

光学 · 物理学 2015-05-18 Nikolay N. Rosanov , Victor V. Kozlov , Stefan Wabnitz
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