TY - JOUR
T1 - Coherent States in a Laser Cavity
AU - Priyashanka, K.M.
AU - Wijewardena Gamalath, K A I L
JF - International Letters of Chemistry, Physics and Astronomy
VL - 56
SP - 47
EP - 62
SN - 2299-3843
PY - 2015
PB - SciPress Ltd
DO - 10.18052/www.scipress.com/ILCPA.56.47
UR - https://www.scipress.com/ILCPA.56.47
KW - Coherent States
KW - Density Operator
KW - Fokker-Plank Equation
KW - Resonant Cavity
AB - A mathematical model was developed to obtain the population inversion of the atoms in laser field in a laser cavity by considering the electric field in the optical cavity and the atomic states of the medium to be quantized. The master equation of the density operator of the laser field was studied analytically and numerically. Using coherent states, the Fokker-Plank equation for the phase space density for the laser field was solved analytically for the time dependent and steady state situations. The laser field above the threshold can be represented by a randomly phased mixture of coherent states. As the pump parameter increases in the laser process, the phase density becomes narrower, tending toward a delta function, creating a coherence laser field.
ER -