Compression of Hermite–Gaussian pulses in an engineered optical fiber absorber with varying dispersion and nonlinearity

The compression of Hermite–Gaussian pulses in an engineered optical fiber absorber with varying dispersion and nonlinearity is studied both analytically and numerically. New parametric condition for such a pulse compression is obtained. The stabilities of these self-similar pulses, even at the maximum pulse compression, are then demonstrated under the perturbations of the additive white noise and the higher-order nonlinear effects such as self-steepening and self-frequency shift accompanying the severe pulse compression. This work may lead to other new methods for efficient generation of low-energetic ultrashort pulses with high quality.