Pitchfork bifurcation in a single-mode gas laser with linear phase anisotropy of the cavity

2000 ◽  
Author(s):  
Larissa P. Svirina
Keyword(s):  
Single Mode ◽  
Pitchfork Bifurcation ◽  
Linear Phase ◽  
Phase Anisotropy ◽  
Gas Laser

Influence of linear phase anisotropy induced in the active medium on the characteristics of gas-laser radiation

1982 ◽  
Vol 36 (5) ◽  
pp. 489-493
Author(s):  
A. P. Voitovich ◽  
V. S. Kalinov ◽  
A. Ya. Smirnov ◽  
L. L. Teplyashin
Keyword(s):  
Laser Radiation ◽  
Active Medium ◽  
Linear Phase ◽  
Phase Anisotropy ◽  
Gas Laser

Second Order Averaging Study of an Autoparametric System

1993 ◽  
Author(s):  
Bappaditya Banerjee ◽  
Anil K. Bajaj ◽  
Patricia Davies
Keyword(s):  
Dynamical Behavior ◽  
Period Doubling ◽  
Nonlinear Effects ◽  
Single Mode ◽  
Pitchfork Bifurcation ◽  
Second Order ◽  
System Response ◽  
Response Curves ◽  
Vibratory System ◽  
First Order

Abstract The autoparametric vibratory system consisting of a primary spring-mass-dashpot system coupled with a damped simple pendulum serves as an useful example of two degree-of-freedom nonlinear systems that exhibit complex dynamic behavior. It exhibits 1:2 internal resonance and amplitude modulated chaos under harmonic forcing conditions. First-order averaging studies of this system using AUTO and KAOS have yielded useful information about the amplitude dynamics of this system. Response curves of the system indicate saturation and the pitchfork bifurcation sets are found to be symmetric. The period-doubling route to chaotic solutions is observed. However questions about the range of the small parameter ε (a function of the forcing amplitude) for which the solutions are valid cannot be answered by a first-order study. Some observed dynamical behavior, like saturation, may not persist when higher-order nonlinear effects are taken into account. Second-order averaging of the system, using Mathematica (Maeder, 1991; Wolfram, 1991) is undertaken to address these questions. Loss of saturation is observed in the steady-state amplitude responses. The breaking of symmetry in the various bifurcation sets becomes apparent as a consequence of ε appearing in the averaged equations. The dynamics of the system is found to be very sensitive to damping, with extremely complicated behavior arising for low values of damping. For large ε second-order averaging predicts additional Pitchfork and Hopf bifurcation points in the single-mode response.

Gas laser with phase anisotropy in a constant magnetic field

1981 ◽  
Vol 11 (2) ◽  
pp. 196-200 ◽  
Author(s):  
S A Gonchukov ◽  
V M Ermachenko ◽  
A Ch Izmaĭlov ◽  
R D Kasumova ◽  
V N Petrovskiĭ ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Constant Magnetic Field ◽  
Phase Anisotropy ◽  
Gas Laser

Frequency stabilized HeNe gas laser with 3.5mW from a single mode

2012 ◽  
Vol 36 (2) ◽  
pp. 203-209 ◽  
Author(s):  
Jonathan D. Ellis ◽  
Dirk Voigt ◽  
Jo W. Spronck ◽  
Ad L. Verlaan ◽  
Robert H. Munnig Schmidt
Keyword(s):  
Single Mode ◽  
Gas Laser

scholarly journals Effect of Nonlinear Level Crossing on the Output of a Gas Laser

1975 ◽  
Vol 28 (6) ◽  
pp. 665
Author(s):  
BK Mohanty ◽  
N Nayak
Keyword(s):  
Single Mode ◽  
Level Crossing ◽  
Third Order ◽  
Intensity Parameter ◽  
Gas Laser ◽  
Two Photon ◽  
The Third ◽  
Photon Process ◽  
Limit Approximation ◽  
Lorentzian Shape

A generalized expression for electromagnetic polarization under level crossing in a single-mode gas laser is derived up to the third order in the field strength. This is made possible by the use of the probability integral of complex arguments to avoid the Doppler limit approximation. The level crossing effect is seen to appear in the third order, and its linewidth is shown to be asymmetric. It is also broader than the Lorentzian shape usually obtained under the Doppler limit. The dimensionless intensity parameter of the laser field is seen to lose its symmetry about the resonance value in the presence of level crossing. This is attributed to incoherence among different transitions. Further, the other terms like those describing the two-photon process in the third-order value are briefly discussed.

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