منابع مشابه
Global Solvability of the Maxwell-Bloch Equations from Nonlinear Optics
The nonlinear self-focusing of optical beams is a well known and abundantly documented phenomenon M, Sh]. The mechanism is simple. If the speed of propagation of electromagnetic waves decreases as a function of the intensity, then ray tracing suggests that a planar wavefront with intensity which is large at the center and decreases away from the center will propagate so that the center lags beh...
متن کاملRogue waves of the Hirota and the Maxwell-Bloch equations.
In this paper, we derive a Darboux transformation of the Hirota and the Maxwell-Bloch (H-MB) system which is governed by femtosecond pulse propagation through an erbium doped fiber and further generalize it to the matrix form of the n-fold Darboux transformation of this system. This n-fold Darboux transformation implies the determinant representation of nth solutions of (E([n]),p([n]),η([n])) g...
متن کاملQuantum Maxwell-Bloch equations for spatially inhomogeneous semiconductor lasers
We present quantum Maxwell-Bloch equations ~QMBE! for spatially inhomogeneous semiconductor laser devices. The QMBE are derived from fully quantum mechanical operator dynamics describing the interaction of the light field with the quantum states of the electrons and the holes near the band gap. By taking into account field-field correlations and field-dipole correlations, the QMBE include quant...
متن کاملSlow Scale Maxwell-bloch Equations for Active Photonic Crystals
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 interaction in the active photonic crystal can be written as a system of integro-differential equations. U...
متن کاملThe Maxwell-Bloch equations on fractional Leibniz algebroids
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. M.S.C. 2000: 53D17, 58F06.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 1995
ISSN: 1776-0852
DOI: 10.2991/jnmp.1995.2.3-4.6