Spacetime and spaceaveraged equations for a twomirror laser: theory and numerical results
Abstract
A theoretical model is considered for an unsteady threelevel (singlemode) laser. By use of the rotating wave approximation, the usual semiclassical equations are transformed into a system of firstorder spacetime (ST) equations. The space oscillations of the population difference (holeburning effects) and the motion of the atoms are included in the treatment. After the introduction of several assumptions, the ST equations are transformed to a set of timedependent spaceaveraged (SA) equations. The numerical calculations were performed for a pulsed twomirror laser with a finite phase memory decay constant and for resonance and nonresonance frequencies. The calculations show that the SA equations give almost the same results as the much more complicated ST equations.
 Publication:

Applied Optics
 Pub Date:
 May 1983
 DOI:
 10.1364/AO.22.001578
 Bibcode:
 1983ApOpt..22.1578B
 Keywords:

 Electric Fields;
 Laser Modes;
 Lasing;
 Mirrors;
 Molecular Physics;
 Partial Differential Equations;
 Steady State;
 Thresholds;
 Unsteady State;
 Lasers and Masers;
 ELECTROMAGNETIC WAVES;
 LASERS: GAS;
 MODES;
 NONLINEAR OPTICS;
 PULSES;
 PHASE CONJUGATION