Linear pulse propagation with high-order dispersion. (1st November 2022)

• Record Type: Journal Article
• Authors: Runge, Antoine F J; Long Qiang, Y; Alexander, Tristram J; de Sterke, C Martijn
• Is Part Of: Journal of optics. Volume 24:Number 11(2022)
• Publication Date: 2022-11-01
• Subjects: high-order dispersion -- optical solitons -- ultrafast optics; Optics -- Periodicals; 535.05
• DOI: 10.1088/2040-8986/ac9633
• Languages: English
• ISSNs: 2040-8978

Abstract

Abstract: We present an approximate, but intuitively appealing theoretical study of the linear propagation of optical pulses in media with high-order dispersion. Our analysis, which is fully consistent with numerical simulations, is based on the pulses' full-width at half maximum and shows that the effect of high-order dispersion differs significantly from that of the well-understood second order dispersion. For high dispersion orders m, the central part of the pulses, where the intensity is highest, evolve in the same way, independent of m, though at different rates, with a weak dependence on the initial pulse shape. We also find that all pulses, irrespective of initial pulse shape, eventually evolve to a sinc function. Our treatment allows us to find expressions for the characteristic dispersion lengths for high dispersion orders.