Statistics and thermodynamics of luminescent radiation
Abstract
We have investigated luminescent radiation produced by semiconductor lasers. By using the grand canonical ensemble for the radiation field produced by the recombination of electronhole pairs, the power spectrum and thermodynamic functions (i.e., total energy, entropy, and radiation pressure) are derived in the context of quantum statistics. The correlation function of the luminescent radiation field is also calculated and compared with blackbody radiation. Numerical calculations are performed to study the effect of the band gap and chemical potential of the luminescent material on the correlation function and various thermodynamic functions; for example, we consider the deviation of the totalenergy density from the predictions of the StefanBoltzman law. The stimulated emission case is discussed with the introduction of negative temperature. Finally, the probability distribution and fluctuations of the photon numbers in the radiation field are discussed.
 Publication:

Physical Review B
 Pub Date:
 September 1992
 DOI:
 10.1103/PhysRevB.46.6760
 Bibcode:
 1992PhRvB..46.6760H
 Keywords:

 78.60.b;
 42.55.Px;
 Other luminescence and radiative recombination;
 Semiconductor lasers;
 laser diodes