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117,581
Time Discretizations for MaxwellBloch Equations
, 2000
"... In this article we derive new time discretizations for the numerical simulation of MaxwellBloch equations. These discretizations decouple the equations, thus leading to improved efficiency. This approach may be combined with the fulfilment of physical properties, such as positiveness properties, wh ..."
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In this article we derive new time discretizations for the numerical simulation of MaxwellBloch equations. These discretizations decouple the equations, thus leading to improved efficiency. This approach may be combined with the fulfilment of physical properties, such as positiveness properties
The MaxwellBloch equations on fractional Leibniz algebroids
 Balkan Journal of Geometry and Its Applications
"... Abstract. Numerous Mircea Puta’s papers were dedicated to the study of Maxwell Bloch equations. The main purpose of this paper is to present several types of fractional Maxwell Bloch equations. ..."
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Cited by 3 (0 self)
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Abstract. Numerous Mircea Puta’s papers were dedicated to the study of Maxwell Bloch equations. The main purpose of this paper is to present several types of fractional Maxwell Bloch equations.
MaxwellBloch Equations as PredatorPrey System
"... Abstract. Regions of the full parameter space for which chaotic behavior in laser models based on the MaxwellBloch equation occurs are studied[1]. The range in the parameter space have been charted, all possibilities for the value of the maximal Lyapunov exponent are shown to exist, positive maxim ..."
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Abstract. Regions of the full parameter space for which chaotic behavior in laser models based on the MaxwellBloch equation occurs are studied[1]. The range in the parameter space have been charted, all possibilities for the value of the maximal Lyapunov exponent are shown to exist, positive
Lattices of Neumann oscillators and MaxwellBloch equations
, 2005
"... Accepted for publication in Nonlinearity We introduce a family of new nonlinear manybody dynamical systems which we call the Neumann lattices. These are lattices of N interacting Neumann oscillators. The interactions are of magnetic type. We construct large families of conserved quantities for th ..."
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for the Neumann lattices. For this purpose we develop a new method of constructing the first integrals which we call the reduced curvature condition. Certain Neumann lattices are natural partial discretizations of the MaxwellBloch equations. The MaxwellBloch equations have a natural Hamiltonian structure whose
Transparent nonlinear geometric optics and MaxwellBloch equations
 J. Diff. Equations
"... Many results have been obtained in the last decade about the justiflcation of nonlinear geometric optics expansions (see references below and the survey papers [JMR1][JMR2]). All of them consider general equations and make no assumption on the structure of the nonlinear terms. There are cases where ..."
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Cited by 22 (0 self)
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Many results have been obtained in the last decade about the justiflcation of nonlinear geometric optics expansions (see references below and the survey papers [JMR1][JMR2]). All of them consider general equations and make no assumption on the structure of the nonlinear terms. There are cases
Geometrical description of the local integrals of motion of MaxwellBloch equation
, 1995
"... We represent a classical MaxwellBloch equation and related to it positive part of the AKNS hierarchy in geometrical terms. The MaxwellBloch evolution is given by an infinitesimal action of a nilpotent subalgebra n+ of affine Lie algebra ̂ sl2 on a MaxwellBloch phase space treated as a homogeneous ..."
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Cited by 2 (1 self)
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We represent a classical MaxwellBloch equation and related to it positive part of the AKNS hierarchy in geometrical terms. The MaxwellBloch evolution is given by an infinitesimal action of a nilpotent subalgebra n+ of affine Lie algebra ̂ sl2 on a MaxwellBloch phase space treated as a
Quantum MaxwellBloch Equations for Spontaneous Emission in Optical Semiconductor Devices
, 2008
"... We present quantum MaxwellBloch equations (QMBE) for spatially inhomogeneous optical semiconductor devices taking into account the quantum noise effects which cause spontaneous emission and amplified emission. Analytical expressions derived from the QMBE are presented for the spontaneous emission f ..."
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We present quantum MaxwellBloch equations (QMBE) for spatially inhomogeneous optical semiconductor devices taking into account the quantum noise effects which cause spontaneous emission and amplified emission. Analytical expressions derived from the QMBE are presented for the spontaneous emission
INFINITE DIMENSIONAL GEOMETRIC SINGULAR PERTURBATION THEORY FOR THE MAXWELL–BLOCH EQUATIONS∗
"... Abstract. We study the Maxwell–Bloch equations governing a twolevel laser in a ring cavity. For Class A lasers, these equations have two widely separated time scales and form a singularly perturbed, semilinear hyperbolic system with two distinct characteristics. We extend Fenichel’s geometric singu ..."
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Abstract. We study the Maxwell–Bloch equations governing a twolevel laser in a ring cavity. For Class A lasers, these equations have two widely separated time scales and form a singularly perturbed, semilinear hyperbolic system with two distinct characteristics. We extend Fenichel’s geometric
SLOW SCALE MAXWELLBLOCH EQUATIONS FOR ACTIVE PHOTONIC CRYSTALS
"... Abstract—We present a theory to describe the transient and steady state behaviors of the active modes of a photonic crystal with active constituents (active photonic crystal). Using a couple mode model, we showed that the full vectorial MaxwellBloch equations describing the physics of light matter ..."
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Abstract—We present a theory to describe the transient and steady state behaviors of the active modes of a photonic crystal with active constituents (active photonic crystal). Using a couple mode model, we showed that the full vectorial MaxwellBloch equations describing the physics of light matter
Cauchy problem and quasistationary limit for the MaxwellLandauLifschitz and MaxwellBloch equations
, 2010
"... In this paper we continue the investigation of the MaxwellLandauLifschitz and MaxwellBloch equations. In particular we extend some previous results about the Cauchy problem and the quasistationary limit to the case where the magnetic permeability and the electric permittivity are variable. ..."
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In this paper we continue the investigation of the MaxwellLandauLifschitz and MaxwellBloch equations. In particular we extend some previous results about the Cauchy problem and the quasistationary limit to the case where the magnetic permeability and the electric permittivity are variable.
Results 1  10
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117,581