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We find the Lax pair for a system of reduced Maxwell-Bloch equations that describes the propagation of two-component extremely short electromagnetic pulses through the medium containing two-level quantum particles with arbitrary dipole…

可精确求解与可积系统 · 物理学 2008-03-12 N. V. Ustinov

We study the propagation of three-dimensional bipolar ultrashort electromagnetic pulses in an array of semiconductor carbon nanotubes at times much longer than the pulse duration, yet still shorter than the relaxation time in the system.…

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

The distinctive features of passing the two-component extremely short pulses through the nonlinear media are discussed. The equations considered describe the propagation in the two-level anisotropic medium of the electromagnetic pulses…

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

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 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

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

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

We solve the problem of ultrashort pulse propagation in a two-level medium beyond the rotating-wave (RWA) and slowly-varying-envelope approximations. The method of solution is based on the Maxwell--Bloch equations represented in the form…

光学 · 物理学 2013-01-01 Denis Novitsky

The explicit expression for spatial-temporal Airy pulse is derived from the Maxwell's equations in paraxial approximation. The trajectory of the pulse in the time-space coordinates is analysed. The existence of a bifurcation point that…

光学 · 物理学 2011-08-16 Alexander G. Nerukh , Denis A. Zolotariov , Dmitry A. Nerukh

Propagation, transmission and reflection properties of linearly polarized plane waves and arbitrarily short electromagnetic pulses in one-dimensional dispersionless dielectric media possessing an arbitrary space-time dependence of the…

光学 · 物理学 2009-11-13 Fabio Biancalana , Andreas Amann , Alexander V. Uskov , Eoin P. O'Reilly

The excitation of a thin layer of two-level permanent dipole moment atoms by ultimately short (less than field oscillation period) electromagnetic pulses (videopulse) is observed. The numerical analysis of matter equations free of rotating…

可精确求解与可积系统 · 物理学 2009-11-11 Sergei O. Elyutin , Andrei I. Maimistov

Propagation of the extremely short electromagnetic pulse in non-linear dielectric media without the slowly varying envelope approximation is discussed. The models under consideration take into account both resonant and not-resonant…

斑图形成与孤子 · 物理学 2007-05-23 Andrei Maimistov

In the spirit of continued study of general plasma wave properties we investigated the boundary problem with the simplest form of electric field pulse at the edge x=0 of half-infinite uniform plasma slab with Maxwellian electron…

等离子体物理 · 物理学 2007-11-08 V. N. Soshnikov

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

Propagation of extremely short unipolar pulses of electromagnetic field ("videopulses") is considered in the framework of a model in which the material medium is represented by anharmonic oscillators (approximating bound electrons) with…

斑图形成与孤子 · 物理学 2009-10-31 Elena Kazantseva , Andrey Maimistov , Boris Malomed

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

It is pointed out that the usual derivation of the well-known Maxwell electromagnetic equations holds only for a medium at rest. A way in which the equations may be modified for the case when the mean flow of the medium is steady and…

综合物理 · 物理学 2007-05-23 J. Dunning-Davies

Starting from the wave equation for a medium with material properties that vary periodically, we study a system of recurrence relations that describe propagation of wave packets that oscillate on the microscale (i.e. on lengths of the order…

数学物理 · 物理学 2021-01-26 Kirill Cherednichenko

The time evolution of a two-level quantum mechanical system can be geometrically described using the Bloch sphere. By mapping the Bloch sphere evolution onto the dynamics of oscillating electric dipoles, we provide a physically intuitive…

量子物理 · 物理学 2014-12-31 Amar C. Vutha
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