Essex distributed time-domain model (eDTDM) for complex laser modeling

We present a new distributed time domain model (DTDM) using Maxwell's wave equations with a time dependent polarization in the form of classical electron oscillators (CEO)s with randomly excited spontaneous emission using a virtual field. The model is based upon the neoclassical rate equations of A.E. Siegman1 and includes effects such as chromatic dispersion, line-width enhancement, gain suppression, optically induced gratings, and excess noise. Although our equations were independently derived we have found that they do resemble the Maxwell-Bloch equations2. However, most authors appear to favor the Ginzburg-Landau equations for their DTDM models3. We demonstrate that the model can reproduce results comparable with those of others, as well as new results.