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Results 1 - 10
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117,581
Time Discretizations for Maxwell-Bloch Equations
, 2000
"... In this article we derive new time discretizations for the numerical simulation of Maxwell-Bloch 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 Maxwell-Bloch 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 Maxwell-Bloch 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.
Maxwell-Bloch Equations as Predator-Prey System
"... Abstract. Regions of the full parameter space for which chaotic behavior in laser models based on the Maxwell-Bloch equation occurs are studied[1]. The range in the parameter space have been charted, all possibilities for the value of the maxi-mal 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 Maxwell-Bloch equation occurs are studied[1]. The range in the parameter space have been charted, all possibilities for the value of the maxi-mal Lyapunov exponent are shown to exist, positive
Lattices of Neumann oscillators and Maxwell-Bloch equations
, 2005
"... Accepted for publication in Nonlinearity We introduce a family of new non-linear many-body dynamical systems which we call the Neumann lattices. These are lattices of N interacting Neu-mann 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 Maxwell-Bloch equations. The Maxwell-Bloch equations have a natural Hamiltonian structure whose
Transparent nonlinear geometric optics and Maxwell-Bloch equations
- J. Diff. Equations
"... Many results have been obtained in the last decade about the justiflcation of nonlinear geo-metric 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 geo-metric 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 Maxwell-Bloch equation
, 1995
"... We represent a classical Maxwell-Bloch equation and related to it positive part of the AKNS hierarchy in geometrical terms. The Maxwell-Bloch evolution is given by an infinitesimal action of a nilpotent subalgebra n+ of affine Lie algebra ̂ sl2 on a Maxwell-Bloch phase space treated as a homogeneous ..."
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Cited by 2 (1 self)
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We represent a classical Maxwell-Bloch equation and related to it positive part of the AKNS hierarchy in geometrical terms. The Maxwell-Bloch evolution is given by an infinitesimal action of a nilpotent subalgebra n+ of affine Lie algebra ̂ sl2 on a Maxwell-Bloch phase space treated as a
Quantum Maxwell-Bloch Equations for Spontaneous Emission in Optical Semiconductor Devices
, 2008
"... We present quantum Maxwell-Bloch 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 Maxwell-Bloch 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 two-level 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 two-level 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 MAXWELL-BLOCH 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 Maxwell-Bloch 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 Maxwell-Bloch equations describing the physics of light matter
Cauchy problem and quasi-stationary limit for the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations
, 2010
"... In this paper we continue the investigation of the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations. In particular we extend some previous results about the Cauchy problem and the quasi-stationary limit to the case where the magnetic permeability and the electric permittivity are variable. ..."
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Cited by 1 (0 self)
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In this paper we continue the investigation of the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations. In particular we extend some previous results about the Cauchy problem and the quasi-stationary limit to the case where the magnetic permeability and the electric permittivity are variable.
Results 1 - 10
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117,581
