Journal article
Quadratic solitons for negative effective second-harmonic diffraction as nonlocal solitons with periodic nonlocal response function
Department of Photonics Engineering, Technical University of Denmark1
Ultrafast Nonlinear Optics group, Department of Photonics Engineering, Technical University of Denmark2
Australian National University3
Fiber Sensors & Supercontinuum, Department of Photonics Engineering, Technical University of Denmark4
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.
Language: | English |
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Year: | 2012 |
ISSN: | 10941622 , 10502947 and 24699926 |
Types: | Journal article |
DOI: | 10.1103/PhysRevA.86.023849 |
ORCIDs: | Bache, Morten and Bang, Ole |