This review gives an overview of the theory and discusses aspects of space-
time modeling of high-power diode lasers. The dynamic interaction between t
he optical fields, the charge carriers, and the interband polarization are
described on the basis of microscopic spatially resolved Maxwell-Bloch equa
tions for spatially inhomogeneous semiconductor lasers. Thereby the influen
ce of dynamic internal laser effects such as diffraction, self-focusing, sc
attering, carrier transport, and heating on the performance of broad-area o
r tapered amplifiers as well as the individual device properties (i.e. its
epitaxial structure and geometry) are self-consistently considered.