Abstract
By using the algebraic dynamics method, we obtain exact analyticalsolutions of rate equations with time-dependent coefficients, whichmight present an effective description of the physical mechanism of thepractical semiconductor lasers. Based on the exact solutions, weinvestigate the dynamic behaviour and the emitted properties of theInGaAsP laser, which has been commonly used in long wavelength opticalcommunication systems. It is found that when the cavity length varieswith time exponentially, the output power of the laser will drop andapproach its asymptote. When the cavity length is a sinusoid functionof time, the intensity of the emitted optical pulses can be controlledby the amplitude of this function.
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