The carrier kinetics approach has been beneficial for describing active laser media (gain media) in response to an external pulse. We present the interaction of light with several diverse cases of nonlinear media using a semi-classical approach. The carriers of the nonlinear medium are treated quantum-mechanically with a multilevel quantum system depending on the type of material, and the electromagnetic waves are treated classically. The discussion is centered mainly on the work done with the finite-difference time-domain method (FDTD) and the auxiliary differential equation (ADE) technique. The ADE-FDTD approach is one of the most versatile multiphysics techniques. It enables direct integration of other material properties such as nonlinearity, dispersion, nonlocality, etc. Such a multiphysics approach has been exceptionally critical for analyzing lasing dynamics in Stockman’s spasers, including their pumping, population inversion, and saturation. Other applications include saturable and reverse saturable absorbers, amplified spontaneous emission, and random lasing.
Prof. Alexander V. Kildishev works in the field of theory and numerical models for nanophotonics. He has had several breakthrough results on negative refractive index metamaterials, optical artificial magnetic structures, loss compensation in metamaterials, plasmonic nanolasers, optical metasurfaces, optical cloaks, and hyperlenses. He has been included on the Highly Cited Researchers List, which recognizes worldclass researchers selected for their exceptional research performance, demonstrated by producing multiple highly cited papers that rank in the top 1% by citations in the cross-field category for the years of 2018 and 2023 in Web of Science (WOS). His current h-factor is 71 WOS, 81 Google Scholar. Publications include 9 book chapters, about 200 publications in peer-reviewed journals, with above 25,000 citations; more than 90 invited seminar talks and conferences presentations, co-inventor of above 31 issued and pending patents (14 US patents), 11 software online simulation tools (with above 3,000 users and 56,000 jobs).
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