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Chirped dispersive pulse propagation of arbitrary initial width: a saddle point perspective

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Abstract

The propagated field dynamics in chirped Gaussian pulse propagation of arbitrary initial width in a linear, causally dispersive, Lorentz-type dielectric are derived, validated, and elaborated. The performed asymptotic analysis relies on a two-term series expansion around the saddle points of the unified phase. As I show, the dynamics of each relevant saddle point are mapped into the characteristics of a respective pulse component contributing to the total propagated field. The accuracy of the description is verified upon comparison with depicted numerical results. This asymptotic approach provides unique insight that is accurate and valid from the quasi-monochromatic to the sub-cycle pulse regimes.

© 2019 Optical Society of America

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