Quadratic solitons in media with negative refractive index

A. I. Maĭmistov; I. R. Gabitov; E. V. Kazantseva

doi:10.1134/S0030400X07010171

Quadratic solitons in media with negative refractive index

A. I. Maĭmistov, I. R. Gabitov, E. V. Kazantseva

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14 Scopus citations

Abstract

The propagation of pulses of the pump and its second harmonic in a quadratically nonlinear medium whose linear properties are characterized by a negative refractive index at the pump frequency and by a positive refractive index at the harmonic frequency is considered theoretically. In the case of a low intensity of the interacting waves, the pump and second-harmonic pulses propagate in the opposite directions, but sufficiently powerful pulses can form a simulton-a solitary two-frequency wave propagating in a certain direction as a single whole. Solutions to a set of equations are found which describe the steady-state propagation of a solitary wave and of a nonlinear periodic (cnoidal) wave.

Original language	English (US)
Pages (from-to)	90-97
Number of pages	8
Journal	Optics and Spectroscopy (English translation of Optika i Spektroskopiya)
Volume	102
Issue number	1
DOIs	https://doi.org/10.1134/S0030400X07010171
State	Published - Jan 2007
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics

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title = "Quadratic solitons in media with negative refractive index",

abstract = "The propagation of pulses of the pump and its second harmonic in a quadratically nonlinear medium whose linear properties are characterized by a negative refractive index at the pump frequency and by a positive refractive index at the harmonic frequency is considered theoretically. In the case of a low intensity of the interacting waves, the pump and second-harmonic pulses propagate in the opposite directions, but sufficiently powerful pulses can form a simulton-a solitary two-frequency wave propagating in a certain direction as a single whole. Solutions to a set of equations are found which describe the steady-state propagation of a solitary wave and of a nonlinear periodic (cnoidal) wave.",

author = "Maĭmistov, {A. I.} and Gabitov, {I. R.} and Kazantseva, {E. V.}",

note = "Funding Information: ACKNOWLEDGMENTS We are grateful to A.M. Basharov and S.O. Elutin for fruitful discussions. A.I. Ma{\oe}mistov thanks the Department of Mathematics of Arizona State University for the support and hospitality during this study. This study was supported in part by the Russian Foundation for Basic Research (grant no. 06-02-16406), by the National Science Foundation (grant no. DMS-0509589), and by a grant from the State of Arizona (Proposition 301).",

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doi = "10.1134/S0030400X07010171",

language = "English (US)",

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AU - Maĭmistov, A. I.

AU - Gabitov, I. R.

AU - Kazantseva, E. V.

N1 - Funding Information: ACKNOWLEDGMENTS We are grateful to A.M. Basharov and S.O. Elutin for fruitful discussions. A.I. Maœmistov thanks the Department of Mathematics of Arizona State University for the support and hospitality during this study. This study was supported in part by the Russian Foundation for Basic Research (grant no. 06-02-16406), by the National Science Foundation (grant no. DMS-0509589), and by a grant from the State of Arizona (Proposition 301).

PY - 2007/1

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N2 - The propagation of pulses of the pump and its second harmonic in a quadratically nonlinear medium whose linear properties are characterized by a negative refractive index at the pump frequency and by a positive refractive index at the harmonic frequency is considered theoretically. In the case of a low intensity of the interacting waves, the pump and second-harmonic pulses propagate in the opposite directions, but sufficiently powerful pulses can form a simulton-a solitary two-frequency wave propagating in a certain direction as a single whole. Solutions to a set of equations are found which describe the steady-state propagation of a solitary wave and of a nonlinear periodic (cnoidal) wave.

AB - The propagation of pulses of the pump and its second harmonic in a quadratically nonlinear medium whose linear properties are characterized by a negative refractive index at the pump frequency and by a positive refractive index at the harmonic frequency is considered theoretically. In the case of a low intensity of the interacting waves, the pump and second-harmonic pulses propagate in the opposite directions, but sufficiently powerful pulses can form a simulton-a solitary two-frequency wave propagating in a certain direction as a single whole. Solutions to a set of equations are found which describe the steady-state propagation of a solitary wave and of a nonlinear periodic (cnoidal) wave.

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Quadratic solitons in media with negative refractive index

Abstract

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