Quadratic solitons for negative effective second-harmonic diffraction as nonlocal solitons with periodic nonlocal response function

B. K. Esbensen, M. Bache, W. Krolikowski, and O. Bang
Phys. Rev. A 86, 023849 – Published 28 August 2012

Abstract

We employ the formal analogy between quadratic and nonlocal solitons to investigate analytically the properties of solitons and soliton bound states in second-harmonic generation in the regime of negative diffraction or dispersion of the second harmonic. We show that in the nonlocal description this regime corresponds to a periodic nonlocal response function. We then use the strongly nonlocal approximation to find analytical solutions of the families of single bright solitons and their bound states in terms of Mathieu functions.

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  • Received 2 April 2012

DOI:https://doi.org/10.1103/PhysRevA.86.023849

©2012 American Physical Society

Authors & Affiliations

B. K. Esbensen1, M. Bache1, W. Krolikowski2, and O. Bang1

  • 1DTU Fotonik, Department of Photonics Engineering, Technical University of Denmark, DK-2800 Kongens Lyngby, Denmark
  • 2Laser Physics Centre, Research School of Physics and Engineering, Australian National University, Canberra, Australian Capital Territory 0200, Australia

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Vol. 86, Iss. 2 — August 2012

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