Conference Paper

# Analytical solution of the rate equation in direct modulation of semiconductor laser

Fac. of Phys., Vietnam Nat. Univ., Hanoi

DOI: 10.1109/ATC.2008.4760600 Conference: Advanced Technologies for Communications, 2008. ATC 2008. International Conference on Source: IEEE Xplore

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**ABSTRACT:**We studied the rate equations of direct modulation laser and showed that it may be reduced to the special case when spontaneous carrier decay rate is equal to the photon decay rate. The solution in this case is unique. For the general case, we investigated the vector field of the differential system of the rate equations and pointed out the basic stability problems of this system when the modulation current was required to change.02/2007; - [Show abstract] [Hide abstract]

**ABSTRACT:**Analytical expressions for the switch-on time and timing jitter are obtained for a single-mode semiconductor laser subjected to both optical feedback and external light injection. The expressions are validated by numerical simulation of the noise-driven rate equations. It is shown that even for a large frequency mismatch, when the external light injection is inefficient to improve the response of the laser, an important reduction of the timing jitter can be obtained when optical feedback is present. Emilio Hern'andez-Garc'ia's e-mail: dfsehg4@ps.uib.es 1 2 Single-mode gain-switched semiconductor lasers are one of the most important light sources in optical communication systems. Several mechanisms affect the performance of these lasers: spontaneous emission noise produces an uncertainty in the switch-on time (SOT), timing jitter (TJ), which causes a degradation of the temporal resolution and acts as a limiting factor in the performance of the system when working at Gb/s rates [1]; th...Optics Communications 07/1995; · 1.44 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**A memory diagram, i.e., regions where pattern effects appear at the output of the laser, in the bias-current-versus-modulation-period plane is obtained, both by numerical simulation of the rate equations and by using an analytical approach. A simple method, based on the superposition of the turn-on time probability distribution for the periodic sequence . . .1111. . . of input bits and the turn-on time probability distribution obtained for repetitive gain switching, is used to describe the response of the laser to a pseudorandom word modulation of the injection currentIEEE Journal of Quantum Electronics 07/1993; · 2.11 Impact Factor

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