Interaction of ultrashort light pulses with waveguide Bragg gratings: a class of exactly solvable mathematical problems

  • Ivan O. Goriachuk ,
  • Ilya M. Asharchuk ,
  • Viktor I. Sokolov 
  • a,b,c Institute on Photonic Technologies, Federal Research Center «Crystallography and Photonics», Russian Academy of Sciences, Leninsky ave. 59, Moscow, 119333, Russia
  • Federal Research Center «Scientific Research Institute for System Analysis», Russian Academy of Sciences, Nakhimovsky ave. 36, b.1, Moscow, 117218, Russia
Cite as
Goriachuk I.O., Asharchuk I.M., Sokolov V.I. (2020). Interaction of ultrashort light pulses with waveguide Bragg gratings: a class of exactly solvable mathematical problems. Proceedings of the 32nd European Modeling & Simulation Symposium (EMSS 2020), pp. 300-304. DOI: https://doi.org/10.46354/i3m.2020.emss.043

Abstract

The propagation of light pulses within waveguide Bragg gratings is investigated. The exact mathematical solution of the problem for the grating with rectangular groove shape is considered. The solution is valid for arbitrary grating amplitude and length both in the vicinity and far from Bragg wavelength. For this solution the distribution of field amplitudes within the grating, its reflectivity and the structure of resonances are studied. The effects of light pulse broadening, shape transformation and time delay due to interaction with the waveguide Bragg grating are analyzed using numerical simulations.

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