Broken-SUSY dynamic reflectionless optical amplifier

Abstract: Broken-supersymmetry is used to define a reflectionless active cavity capable of amplifying electromagnetic radiation in the visible. The approach is analytical through the use of the Darboux transform for the generation of the optical potential and the calculation of its solution, while the transmission/reflection spectra evaluation is done with the Transfer Matrix method. Interestingly, the proposed device behaves as a dynamic optical filter amplifying radiation arriving at large angles while for other directions is almost completely transparent. Thus, simply by rotation different functionalities can be obtained. In addition the active filter is reflectionless for all wavelengths and angles of incidence. The necessary Kramers-Kronig relations are also satisfied being the model compatible with the Drude model at high frequency i.e. far from absorption resonances.