Ghb. Thompson, THE STATISTICAL DISTRIBUTION OF SWITCH-ON DELAY IN SINGLE-MODE SEMICONDUCTOR-LASERS .2. PATTERN EFFECTS, IEEE journal of quantum electronics, 31(11), 1995, pp. 2017-2025
The theory of stochastic processes as applied to photon emission and a
bsorption events is used to calculate the distribution of switch-on de
lay in directly modulated semiconductor lasers down to a probability o
f 10(-10). In this second paper, the influence of a previous light pul
se on the delay of a given pulse is investigated. The probability dist
ribution of photon number in the dying remnants of the first pulse is
examined under the relevant transient conditions of gain and loss, and
is found to evolve in relative width and shape in a way which depends
on only one parameter. This parameter, which consists of an integral
over time of the reciprocal of the average photon number, is obtained
from a solution of the deterministic rate equations and is used to ded
uce the delay distribution of the subsequent pulse. The results, altho
ugh sensitively dependent on the conditions, are supported by experime
nt.