19 May 2008 Dynamic gain structuring during pulse build-up in self-pulsing lasers
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Abstract
This paper aims at revisiting some of the self-pulsing properties of the integro-differential "Maxwell-Bloch" equations that describe single-mode inhomogeneously broadened, including semi-conductor and fibre lasers, focusing mainly on the dynamic gain contour, which is shown to undergo deep modifications during pulse build-up. First, we extend the well-known Casperson Hendow-Sargent weak side-band approach and delimit its applicability with respect to dynamic gain profiling. In particular, we demonstrate, both numerically and analytically that the small-sideband method only describes centre-line saturation which occurs in the small periodic-oscillations regime. In the strong self-pulsing regime, however, lateral saturation along the gain curve occurs as demonstrated with numerical simulations. The small side-band approach fails to describe such gain structuring during pulse build-up. Second, we put forward a strong-harmonic expansion method which reveals quite adapted for the description of the dynamic gain profiles. Extended to third-order in field amplitude and to second order in population inversion, the method allows for the extraction of analytical expressions that retrieve the lateral saturation effects with a remarkable precision.
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B. Meziane, B. Meziane, } "Dynamic gain structuring during pulse build-up in self-pulsing lasers", Proc. SPIE 6997, Semiconductor Lasers and Laser Dynamics III, 69971E (19 May 2008); doi: 10.1117/12.775185; https://doi.org/10.1117/12.775185
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