18 June 2004 Essex distributed time-domain model (eDTDM) for complex laser modeling
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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. Siegman 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 equations. However, most authors appear to favor the Ginzburg-Landau equations for their DTDM models. We demonstrate that the model can reproduce results comparable with those of others, as well as new results.
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S. P. Higgins, S. P. Higgins, Anthony J. Vickers, Anthony J. Vickers, "Essex distributed time-domain model (eDTDM) for complex laser modeling", Proc. SPIE 5349, Physics and Simulation of Optoelectronic Devices XII, (18 June 2004); doi: 10.1117/12.543088; https://doi.org/10.1117/12.543088

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