Wideband Numerical Modeling for Vertical-Cavity Surface-Emitting Laser Bragg Reflectors

We present a novel, to our knowledge, scheme for vertical-cavity surface-emitting laser Bragg reflectors modeling in wideband systems, which notably improves accuracy and numerical efficiency. These Bragg reflectors are characterized as digital filters and then are approximated by use of autoregressive moving-average models. The features of the models are analyzed in terms of the predicted error in the frequency domain, keeping it below 0.1% over a 85-nm range. The numerical structure allows the Bragg reflectors to be integrated accurately into dynamic models of tunable lasers and amplifiers.