An improved nonlinear optical pulse propagation equation

M. Trippenbach; W. Wasilewski; P. Kruk; G. W. Bryant; G. Fibich; Y. B. Band

doi:10.1016/S0030-4018(02)01816-3

An improved nonlinear optical pulse propagation equation

M. Trippenbach, W. Wasilewski, P. Kruk, G. W. Bryant, G. Fibich, Y. B. Band

Department of Chemistry

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

A new equation for self-focusing of extremely focused short-duration intense pulses is derived using a method that treats diffraction and dispersion to all orders with nonlinearity present, and self-consistently determines the nonlinear derivative terms present in the propagation equation. It generalizes both the previous formulation of linear optical pulse propagation to the nonlinear regime, and the cw nonlinear regime propagation to the pulsed regime by including temporal characteristics of the pulse. We apply the new equation and propagate a tightly focused picosecond pulse in silica and explicitly show the effects of spatial-derivative nonlinear coupling terms.

Original language	English
Pages (from-to)	385-391
Number of pages	7
Journal	Optics Communications
Volume	210
Issue number	3-6
DOIs	https://doi.org/10.1016/S0030-4018(02)01816-3
State	Published - 15 Sep 2002

Keywords

Nonparaxial
Pulse propagation
Self-focusing
Ultrafast

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Physical and Theoretical Chemistry
Electrical and Electronic Engineering

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10.1016/S0030-4018(02)01816-3

Cite this

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title = "An improved nonlinear optical pulse propagation equation",

abstract = "A new equation for self-focusing of extremely focused short-duration intense pulses is derived using a method that treats diffraction and dispersion to all orders with nonlinearity present, and self-consistently determines the nonlinear derivative terms present in the propagation equation. It generalizes both the previous formulation of linear optical pulse propagation to the nonlinear regime, and the cw nonlinear regime propagation to the pulsed regime by including temporal characteristics of the pulse. We apply the new equation and propagate a tightly focused picosecond pulse in silica and explicitly show the effects of spatial-derivative nonlinear coupling terms.",

keywords = "Nonparaxial, Pulse propagation, Self-focusing, Ultrafast",

author = "M. Trippenbach and W. Wasilewski and P. Kruk and Bryant, {G. W.} and G. Fibich and Band, {Y. B.}",

note = "Funding Information: This work was supported in part by Polish grant KBN 2PO3B01918, and grants from the the Israel Science Foundation (Grant No. 212/01), and the Israel MOD Research and Technology Unit. Calculations were carried out using the hardware and software resources of the Interdisciplinary Center for Mathematical and Computational Modeling at the University of Warsaw (ICM).",

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AU - Trippenbach, M.

AU - Wasilewski, W.

AU - Kruk, P.

AU - Bryant, G. W.

AU - Fibich, G.

AU - Band, Y. B.

N1 - Funding Information: This work was supported in part by Polish grant KBN 2PO3B01918, and grants from the the Israel Science Foundation (Grant No. 212/01), and the Israel MOD Research and Technology Unit. Calculations were carried out using the hardware and software resources of the Interdisciplinary Center for Mathematical and Computational Modeling at the University of Warsaw (ICM).

PY - 2002/9/15

Y1 - 2002/9/15

N2 - A new equation for self-focusing of extremely focused short-duration intense pulses is derived using a method that treats diffraction and dispersion to all orders with nonlinearity present, and self-consistently determines the nonlinear derivative terms present in the propagation equation. It generalizes both the previous formulation of linear optical pulse propagation to the nonlinear regime, and the cw nonlinear regime propagation to the pulsed regime by including temporal characteristics of the pulse. We apply the new equation and propagate a tightly focused picosecond pulse in silica and explicitly show the effects of spatial-derivative nonlinear coupling terms.

AB - A new equation for self-focusing of extremely focused short-duration intense pulses is derived using a method that treats diffraction and dispersion to all orders with nonlinearity present, and self-consistently determines the nonlinear derivative terms present in the propagation equation. It generalizes both the previous formulation of linear optical pulse propagation to the nonlinear regime, and the cw nonlinear regime propagation to the pulsed regime by including temporal characteristics of the pulse. We apply the new equation and propagate a tightly focused picosecond pulse in silica and explicitly show the effects of spatial-derivative nonlinear coupling terms.

KW - Nonparaxial

KW - Pulse propagation

KW - Self-focusing

KW - Ultrafast

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U2 - 10.1016/S0030-4018(02)01816-3

DO - 10.1016/S0030-4018(02)01816-3

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VL - 210

SP - 385

EP - 391

JO - Optics Communications

JF - Optics Communications

IS - 3-6

ER -

An improved nonlinear optical pulse propagation equation

Abstract

Keywords

ASJC Scopus subject areas

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