We present a formalism and a technique for analyzing the propagation of optical signals through semiconductor traveling-wave amplifiers. The formalism retains, in particular, the spontaneous recombination term, and the newly developed technique permits analytic, real-time solutions to be obtained, so that both the transient and the steady-state regimes are characterized. This end has been achieved by iteratively applying the method of characteristics in order to solve the set of coupled differential equations that result from the formulation of the physical problem. From the real-time solutions so obtained it is also possible easily to recognize the amplitude and phase-modulation effects that occur not only in the steady state but also in the transient regime.
© 1992 Optical Society of America
J. Sarma, R. Balasubramanyam, and K. A. Shore, "Analytical solution of amplitude and phase modulation in semiconductor traveling-wave optical amplifiers subject to transient optical signals," J. Opt. Soc. Am. B 9, 223-231 (1992)