Energy shedding during nonlinear self-focusing of optical beams

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Self-focusing of intense laser beams and pulses of light in real nonlinear media is in general accompanied by material losses that require corrections to the conservative Nonlinear Schro ̈dinger equations describing their propagation. Here we examine loss mechanisms that exist even in lossless media and are caused by shedding of energy away from the self-trapping beam making it to relax to an exact solution of lower energy. Using the conservative NLS equations with absorbing boundary conditions we show that energy shedding not only occurs during the initial reshaping process but also during oscillatory propagation induced by saturation of the nonlinear effect. For pulsed input we also show that, depending on the sign and magnitude of dispersion, pulse splitting, energy shedding, collapse or stable self-focusing may result.
LanguageEnglish
Pages23459-23470
Number of pages12
JournalOptics Express
Volume21
Issue number20
DOIs
Publication statusPublished - 25 Sep 2013

Fingerprint

self focusing
propagation
energy
pulses
trapping
laser beams
boundary conditions
saturation

Keywords

  • Kerr effect
  • self-focusing
  • spatial solitons
  • Pulse propagation and temporal solitons

Cite this

@article{c67887b13a9d4872add6b4dd8d17b2a8,
title = "Energy shedding during nonlinear self-focusing of optical beams",
abstract = "Self-focusing of intense laser beams and pulses of light in real nonlinear media is in general accompanied by material losses that require corrections to the conservative Nonlinear Schro ̈dinger equations describing their propagation. Here we examine loss mechanisms that exist even in lossless media and are caused by shedding of energy away from the self-trapping beam making it to relax to an exact solution of lower energy. Using the conservative NLS equations with absorbing boundary conditions we show that energy shedding not only occurs during the initial reshaping process but also during oscillatory propagation induced by saturation of the nonlinear effect. For pulsed input we also show that, depending on the sign and magnitude of dispersion, pulse splitting, energy shedding, collapse or stable self-focusing may result.",
keywords = "Kerr effect, self-focusing, spatial solitons, Pulse propagation and temporal solitons",
author = "Christopher Travis and Greg Norris and Gail McConnell and Gian-Luca Oppo",
year = "2013",
month = "9",
day = "25",
doi = "10.1364/OE.21.023459",
language = "English",
volume = "21",
pages = "23459--23470",
journal = "Optics Express",
issn = "1094-4087",
publisher = "Optical Society of America",
number = "20",

}

Energy shedding during nonlinear self-focusing of optical beams. / Travis, Christopher; Norris, Greg; McConnell, Gail; Oppo, Gian-Luca.

In: Optics Express, Vol. 21, No. 20, 25.09.2013, p. 23459-23470.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Energy shedding during nonlinear self-focusing of optical beams

AU - Travis, Christopher

AU - Norris, Greg

AU - McConnell, Gail

AU - Oppo, Gian-Luca

PY - 2013/9/25

Y1 - 2013/9/25

N2 - Self-focusing of intense laser beams and pulses of light in real nonlinear media is in general accompanied by material losses that require corrections to the conservative Nonlinear Schro ̈dinger equations describing their propagation. Here we examine loss mechanisms that exist even in lossless media and are caused by shedding of energy away from the self-trapping beam making it to relax to an exact solution of lower energy. Using the conservative NLS equations with absorbing boundary conditions we show that energy shedding not only occurs during the initial reshaping process but also during oscillatory propagation induced by saturation of the nonlinear effect. For pulsed input we also show that, depending on the sign and magnitude of dispersion, pulse splitting, energy shedding, collapse or stable self-focusing may result.

AB - Self-focusing of intense laser beams and pulses of light in real nonlinear media is in general accompanied by material losses that require corrections to the conservative Nonlinear Schro ̈dinger equations describing their propagation. Here we examine loss mechanisms that exist even in lossless media and are caused by shedding of energy away from the self-trapping beam making it to relax to an exact solution of lower energy. Using the conservative NLS equations with absorbing boundary conditions we show that energy shedding not only occurs during the initial reshaping process but also during oscillatory propagation induced by saturation of the nonlinear effect. For pulsed input we also show that, depending on the sign and magnitude of dispersion, pulse splitting, energy shedding, collapse or stable self-focusing may result.

KW - Kerr effect

KW - self-focusing

KW - spatial solitons

KW - Pulse propagation and temporal solitons

UR - http://www.scopus.com/inward/record.url?scp=84885442769&partnerID=8YFLogxK

UR - http://www.opticsinfobase.org/oe/home.cfm

UR - http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-20-23459

U2 - 10.1364/OE.21.023459

DO - 10.1364/OE.21.023459

M3 - Article

VL - 21

SP - 23459

EP - 23470

JO - Optics Express

T2 - Optics Express

JF - Optics Express

SN - 1094-4087

IS - 20

ER -