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

Publication: Research - peer-review › Journal article – Annual report year: 2012

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**Quadratic solitons for negative effective second-harmonic diffraction as nonlocal solitons with periodic nonlocal response function.** / Esbensen, B.K.; Bache, Morten; Krolikowski, W.; Bang, Ole.

Publication: Research - peer-review › Journal article – Annual report year: 2012

### Harvard

*Physical Review A (Atomic, Molecular and Optical Physics)*, vol 86, no. 2, pp. 023849., 10.1103/PhysRevA.86.023849

### APA

*Physical Review A (Atomic, Molecular and Optical Physics)*,

*86*(2), 023849. 10.1103/PhysRevA.86.023849

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*Physical Review A (Atomic, Molecular and Optical Physics)*. 2012, 86(2). 023849. Available: 10.1103/PhysRevA.86.023849

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### Bibtex

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### RIS

TY - JOUR

T1 - Quadratic solitons for negative effective second-harmonic diffraction as nonlocal solitons with periodic nonlocal response function

A1 - Esbensen,B.K.

A1 - Bache,Morten

A1 - Krolikowski,W.

A1 - Bang,Ole

AU - Esbensen,B.K.

AU - Bache,Morten

AU - Krolikowski,W.

AU - Bang,Ole

PB - American Physical Society

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - Diffraction

KW - Solitons

U2 - 10.1103/PhysRevA.86.023849

DO - 10.1103/PhysRevA.86.023849

JO - Physical Review A (Atomic, Molecular and Optical Physics)

JF - Physical Review A (Atomic, Molecular and Optical Physics)

SN - 1050-2947

IS - 2

VL - 86

SP - 023849

ER -