Abstract
Aközbek et al. (2002a) discovered a new phenomenon called self-phase locking both experimentally and theoretically during third harmonic generation inside a filament in air. During the filamentation of an ultrashort and intense laser pulse in air, the generated third harmonic pulse inside the filament propagates with the fundamental at the same group velocity due to nonlinear intensity dependent cross interaction between the two pulses. The cross interaction through the Kerr effect generates what the authors (Aközbek et al., 2002a) called two-color filament at which the relative phase between the fundamental and the third harmonic pulses is self-locked together despite the group velocity dispersion between the fundamental and the third harmonic.
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During harmonic generation, for example the third harmonic, using a Gaussian beam, the conversion is identically zero when the beam is tightly focused and when the phase matching condition is zero or negative. This phenomenon is essentially due to the phase change of π when crossing the focal plane of a Gaussian beam and is first investigated in detail by Gouy (Boyd, 2003, pp. 93–97).
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Chin, S.L. (2010). Filamentation Nonlinear Optics: Third Harmonic Generation and Four-Wave-Mixing Inside a Filament. In: Femtosecond Laser Filamentation. Springer Series on Atomic, Optical, and Plasma Physics, vol 55. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0688-5_6
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DOI: https://doi.org/10.1007/978-1-4419-0688-5_6
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