### Abstract

The propagation of ultrashort pulses in a dielectric medium with periodically arranged metal nanoparticles is considered theoretically. Plasmon oscillations in these particles are described by the model of an anharmonic oscillator with the driving force proportional to the electric-field strength of an electromagnetic pulse. A system of equations determining the behaviour of electromagnetic waves is obtained in the approximation of slowly varying envelopes of ultrashort pulses and medium polarisation. Under the assumption that the frequencies of the carrier wave and oscillators coincide and the Bragg resonance condition is fulfilled, the solution of the obtained equations is found, which corresponds to the solitary wave of the ultrashort-pulse field and the medium polarisation (Bragg soliton). The numerical simulation shows the formation of a Bragg soliton (from the initial Gaussian pulse of the sufficient energy) and a nonstationary solitary wave with the vanishing group velocity.

Original language | English (US) |
---|---|

Pages (from-to) | 549-553 |

Number of pages | 5 |

Journal | Quantum Electronics |

Volume | 37 |

Issue number | 6 |

DOIs | |

State | Published - Jun 2007 |

### Fingerprint

### Keywords

- Bragg solitons
- Coherent propagation of ultrashort pulses
- Resonance Bragg grating
- Solitary wave

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Physics and Astronomy (miscellaneous)

### Cite this

*Quantum Electronics*,

*37*(6), 549-553. https://doi.org/10.1070/QE2007v037n06ABEH013468

**Coherent propagation of an optical pulse in a Bragg plasmon grating.** / Maimistov, A. I.; Gabitov, Ildar R; Korotkevich, A. O.

Research output: Contribution to journal › Article

*Quantum Electronics*, vol. 37, no. 6, pp. 549-553. https://doi.org/10.1070/QE2007v037n06ABEH013468

}

TY - JOUR

T1 - Coherent propagation of an optical pulse in a Bragg plasmon grating

AU - Maimistov, A. I.

AU - Gabitov, Ildar R

AU - Korotkevich, A. O.

PY - 2007/6

Y1 - 2007/6

N2 - The propagation of ultrashort pulses in a dielectric medium with periodically arranged metal nanoparticles is considered theoretically. Plasmon oscillations in these particles are described by the model of an anharmonic oscillator with the driving force proportional to the electric-field strength of an electromagnetic pulse. A system of equations determining the behaviour of electromagnetic waves is obtained in the approximation of slowly varying envelopes of ultrashort pulses and medium polarisation. Under the assumption that the frequencies of the carrier wave and oscillators coincide and the Bragg resonance condition is fulfilled, the solution of the obtained equations is found, which corresponds to the solitary wave of the ultrashort-pulse field and the medium polarisation (Bragg soliton). The numerical simulation shows the formation of a Bragg soliton (from the initial Gaussian pulse of the sufficient energy) and a nonstationary solitary wave with the vanishing group velocity.

AB - The propagation of ultrashort pulses in a dielectric medium with periodically arranged metal nanoparticles is considered theoretically. Plasmon oscillations in these particles are described by the model of an anharmonic oscillator with the driving force proportional to the electric-field strength of an electromagnetic pulse. A system of equations determining the behaviour of electromagnetic waves is obtained in the approximation of slowly varying envelopes of ultrashort pulses and medium polarisation. Under the assumption that the frequencies of the carrier wave and oscillators coincide and the Bragg resonance condition is fulfilled, the solution of the obtained equations is found, which corresponds to the solitary wave of the ultrashort-pulse field and the medium polarisation (Bragg soliton). The numerical simulation shows the formation of a Bragg soliton (from the initial Gaussian pulse of the sufficient energy) and a nonstationary solitary wave with the vanishing group velocity.

KW - Bragg solitons

KW - Coherent propagation of ultrashort pulses

KW - Resonance Bragg grating

KW - Solitary wave

UR - http://www.scopus.com/inward/record.url?scp=35448936039&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35448936039&partnerID=8YFLogxK

U2 - 10.1070/QE2007v037n06ABEH013468

DO - 10.1070/QE2007v037n06ABEH013468

M3 - Article

AN - SCOPUS:35448936039

VL - 37

SP - 549

EP - 553

JO - Quantum Electronics

JF - Quantum Electronics

SN - 1063-7818

IS - 6

ER -