Analytic solutions of Bloch and Maxwell-Bloch equations in the case of arbitrary field amplitude and phase modulation

1992 ◽  
Vol 46 (1) ◽  
pp. 351-355 ◽  
Author(s):  
A. V. Alekseev ◽  
N. V. Sushilov
Keyword(s):  
Phase Modulation ◽  
Analytic Solutions ◽  
Field Amplitude ◽  
Arbitrary Field ◽  
Bloch Equations ◽  
Maxwell Bloch Equations

DIFFERENT AND COEXISTING ROUTES TO CHAOS ALONG A COMMON BIFURCATION PATH IN THE MAXWELL-BLOCH EQUATIONS

1996 ◽  
Vol 06 (03) ◽  
pp. 589-601 ◽  
Author(s):  
I. PASTOR ◽  
VÍCTOR M. PÉREZ-GARCÍA ◽  
F. ENCINAS-SANZ ◽  
J. M. GUERRA
Keyword(s):  
Period Doubling ◽  
Field Amplitude ◽  
Bloch Equations ◽  
Linear Combinations ◽  
Routes To Chaos ◽  
Field Spectrum ◽  
Parameter Values ◽  
Maxwell Bloch Equations

Field amplitude and intensity solutions of the Maxwell-Bloch equations for a laser have been theoretically analyzed. The frequencies appearing in the intensity and field spectrum for parameter values corresponding to a period-doubling road to chaos have been analyzed, both numerically and analytically. These frequencies can be expressed as rational linear combinations of two base frequencies. Differences between the roads affecting intensity and field variables have been evidenced.

Numerical solutions to 2D Maxwell–Bloch equations

2008 ◽  
Vol 40 (5-6) ◽  
pp. 447-453 ◽  
Author(s):  
Jingyi Xiong ◽  
Max Colice ◽  
Friso Schlottau ◽  
Kelvin Wagner ◽  
Bengt Fornberg
Keyword(s):  
Numerical Solutions ◽  
Bloch Equations ◽  
Maxwell Bloch Equations

TIME AVERAGING OF IRREGULAR SPATIOTEMPORAL PATTERNS OF A LARGE APERTURE LASER IN TRANSITORY REGIME

2001 ◽  
Vol 11 (06) ◽  
pp. 1771-1779
Author(s):  
F. ENCINAS-SANZ ◽  
I. LEYVA ◽  
J. M. GUERRA
Keyword(s):  
Experimental Technique ◽  
Exposure Time ◽  
Time Integration ◽  
Spatiotemporal Patterns ◽  
Time Averaging ◽  
Bloch Equations ◽  
Ordered Structures ◽  
Large Aperture ◽  
Spatiotemporal Behavior ◽  
Maxwell Bloch Equations

By means of a new experimental technique, we measure quasi-intantaneous transverse intensity patterns in the gain-switch peak of a transversely excited atmospheric CO 2 laser with large aperture. The patterns recorded with a 2 ns resolution show a completely irregular spatiotemporal behavior, but when the exposure time of the measurements increases, boundary-determined ordered structures can be observed. As a quantification of this averaging process, the contrast of the intensity distributions decreases as the time integration grows. The results are numerically reproduced by integration of the full Maxwell–Bloch equations.

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