Periodic pulse solutions and stability in the fast absorber model
Abstract
It is noted that the modelocking equations in the theory of passive mode locking with a fast saturable absorber (Haus, 1975) may be satisfied by periodic solutions described in terms of Jacobian elliptic functions. In reexamining these dnoidal solutions, expressions for the system operating points in terms of system parameters are found to be similar to the results of Haus. It is particularly noted that in the case of overlapping pulses the operating point compares to the case of well separated pulses given by Haus. A stability criterion is established. The solutions describe the modelocked waveform from CW operation to the limit of infinitely separated hyperbolic secant pulses.
 Publication:

IEEE Journal of Quantum Electronics
 Pub Date:
 June 1978
 DOI:
 10.1109/JQE.1978.1069812
 Bibcode:
 1978IJQE...14..443H
 Keywords:

 Absorbers (Materials);
 Electric Fields;
 Laser Mode Locking;
 Pulsed Lasers;
 Elliptic Functions;
 Jacobi Integral;
 Perturbation Theory;
 Power Gain;
 Steady State;
 Lasers and Masers