ANALYTICAL FORMULAS FOR MODULATION RESPONSES OF SEMICONDUCTOR DFB LASERS

Analytical expressions for the modulation responses of semiconductor D FB lasers are derived from a rigorous standing-wave rate equation form ulations, With proper approximations, these expressions are reduced to simple and insightful formulas, similar to those obtained from the co nventional rate equations, Salient features of the DFB lasers, such as complex-couplings, phase-shifts, facet conditions, as well as variati ons of carrier and photon densities along the cavity caused by the lon gitudinal hole-burning, are considered in these approximate formulas, It is demonstrated that the modulation responses, predicted by the sim ple formulas are in excellent agreement with the exact solutions.