The authors present detailed, yet largely analytical, models for gain, opti
cal bandwidth, and saturation power of vertical-cavity semiconductor optica
l amplifiers (VCSOAs) in reflection and transmission mode. Simple formulas
for the gain-bandwidth product are derived. The saturation model considers
a sublinear material gain, gain enhancement by the standing-wave effect, an
d all relevant carrier recombination mechanisms. Excellent agreement with m
easurements on novel 1.3-mum VCSOAs is obtained. The models are used to ana
lyze device performance and to investigate optimization options, Parameter
plots are given which allow for an easy exploration of the VCSOA design spa
ce, matching desired performance data with the required mirror reflectivity
and pump current.