Interplay of diffraction and nonlinear effects in the propagation of ultrashort pulses

C. Korpa, Gy Tóth, J. Hebling

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We investigate the interplay of diffraction and nonlinear effects during the propagation of very short light pulses. Adapting the factorization approach to the problem at hand by keeping the transverse-derivative terms apart from the residual nonlinear contributions we derive an unidirectional propagation equation which is valid for weak dispersion and reduces to the slowly-evolving-wave-approximation in the case of paraxial rays. A comparison of the numerical simulation results for the two equations shows pronounced differences when self-focusing plays an important role. We devote special attention to modelling the propagation of ultrashort terahertz pulses taking into account diffraction as well as Kerr-type and second-order nonlinearities. Comparing the measured and simulated wave forms we deduce the value of the nonlinear refractive index of lithium niobate in the terahertz region to be three orders of magnitude larger than in the visible part of the spectrum.

Original languageEnglish
Article number035401
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume49
Issue number3
DOIs
Publication statusPublished - Jan 8 2016

Fingerprint

propagation
pulses
diffraction
self focusing
lithium niobates
factorization
rays
nonlinearity
refractivity
approximation
simulation

Keywords

  • diffraction
  • Kerr effect
  • nonlinear propagation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics

Cite this

@article{e532850c3f1d4a5499072d89b103c710,
title = "Interplay of diffraction and nonlinear effects in the propagation of ultrashort pulses",
abstract = "We investigate the interplay of diffraction and nonlinear effects during the propagation of very short light pulses. Adapting the factorization approach to the problem at hand by keeping the transverse-derivative terms apart from the residual nonlinear contributions we derive an unidirectional propagation equation which is valid for weak dispersion and reduces to the slowly-evolving-wave-approximation in the case of paraxial rays. A comparison of the numerical simulation results for the two equations shows pronounced differences when self-focusing plays an important role. We devote special attention to modelling the propagation of ultrashort terahertz pulses taking into account diffraction as well as Kerr-type and second-order nonlinearities. Comparing the measured and simulated wave forms we deduce the value of the nonlinear refractive index of lithium niobate in the terahertz region to be three orders of magnitude larger than in the visible part of the spectrum.",
keywords = "diffraction, Kerr effect, nonlinear propagation",
author = "C. Korpa and Gy T{\'o}th and J. Hebling",
year = "2016",
month = "1",
day = "8",
doi = "10.1088/0953-4075/49/3/035401",
language = "English",
volume = "49",
journal = "Journal of Physics B: Atomic, Molecular and Optical Physics",
issn = "0953-4075",
publisher = "IOP Publishing Ltd.",
number = "3",

}

TY - JOUR

T1 - Interplay of diffraction and nonlinear effects in the propagation of ultrashort pulses

AU - Korpa, C.

AU - Tóth, Gy

AU - Hebling, J.

PY - 2016/1/8

Y1 - 2016/1/8

N2 - We investigate the interplay of diffraction and nonlinear effects during the propagation of very short light pulses. Adapting the factorization approach to the problem at hand by keeping the transverse-derivative terms apart from the residual nonlinear contributions we derive an unidirectional propagation equation which is valid for weak dispersion and reduces to the slowly-evolving-wave-approximation in the case of paraxial rays. A comparison of the numerical simulation results for the two equations shows pronounced differences when self-focusing plays an important role. We devote special attention to modelling the propagation of ultrashort terahertz pulses taking into account diffraction as well as Kerr-type and second-order nonlinearities. Comparing the measured and simulated wave forms we deduce the value of the nonlinear refractive index of lithium niobate in the terahertz region to be three orders of magnitude larger than in the visible part of the spectrum.

AB - We investigate the interplay of diffraction and nonlinear effects during the propagation of very short light pulses. Adapting the factorization approach to the problem at hand by keeping the transverse-derivative terms apart from the residual nonlinear contributions we derive an unidirectional propagation equation which is valid for weak dispersion and reduces to the slowly-evolving-wave-approximation in the case of paraxial rays. A comparison of the numerical simulation results for the two equations shows pronounced differences when self-focusing plays an important role. We devote special attention to modelling the propagation of ultrashort terahertz pulses taking into account diffraction as well as Kerr-type and second-order nonlinearities. Comparing the measured and simulated wave forms we deduce the value of the nonlinear refractive index of lithium niobate in the terahertz region to be three orders of magnitude larger than in the visible part of the spectrum.

KW - diffraction

KW - Kerr effect

KW - nonlinear propagation

UR - http://www.scopus.com/inward/record.url?scp=84955463635&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84955463635&partnerID=8YFLogxK

U2 - 10.1088/0953-4075/49/3/035401

DO - 10.1088/0953-4075/49/3/035401

M3 - Article

AN - SCOPUS:84955463635

VL - 49

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

SN - 0953-4075

IS - 3

M1 - 035401

ER -