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


We studied the rate equations of a semiconductor laser operating in a direct modulation mode for the purpose of obtaining the direct dependence of output photon density on modulating current. We show that the system of differential equations may be reduced to a special case when the spontaneous carrier decay rate is equal to the photon decay rate. The unique solution is obtained for this case. We also show that a laser operating in direct modulation exhibits an inertia in switching between the optical and electrical fields which introduces a corresponding loss in the modulating current. The output photon density and the input carrier density depend directly on this loss. For the systems with a minimal and maximal loss, the output photon density can be obtained analytically.

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