Nonlinear Phenomena with Ultra-Broadband Optical Radiation in Photonic Crystal Fibers and Hollow Waveguides

Abstract

In the present work nonlinear optical phenomena with ultra-broadband radiation are studied. For the description of these processes the standard method based on the slowly varying envelope approximation and Taylor expansion for the refractive index can not be applied. Here a generalized theoretical approach without these approximations is used for the study of some interesting physical problems such as the generation of supercontinua and extremely short pulses. It is shown that the recently observed supercontinuum in.photonic crystal fibers with a spectral width exceeding two octaves can not be explained by the effect of.self-phase modulationbut by spectral broadening through fission of higher-order solitons into red-shifted fundamental solitons and blue-shifted non-solitonic radiation. Degenerate four-wave mixing can be achieved in photonic crystal fibers in an extremely broad frequency range reaching from IR to UV. A new method for the generation of extremely short optical pulses by high-order.Stimulated Raman Scatteringis also investigated. Finally, propagation phenomena in resonant media described by the full.Maxwell-Bloch equations are studied and the formation of solitary half-cycle pulses by coherent propagation effects is demonstrated.KeywordsPhotonic Crystal FiberProbe PulsePulse CompressionHollow WaveguideAnomalous Dispersion RegionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.