Spatio-temporal solitary pulses in graded-index materials with Kerr nonlinearity

Shinn Sheng Yu; Chih Hung Chien; Yinchieh Lai; Jyhpyng Wang

doi:10.1016/0030-4018(95)00377-K

Spatio-temporal solitary pulses in graded-index materials with Kerr nonlinearity

Shinn Sheng Yu, Chih Hung Chien, Yinchieh Lai, Jyhpyng Wang

Department of Physics

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

56 Scopus citations

Abstract

We analyze spatio-temporal pulse propagation in graded-index Kerr materials with the variational method, and find that if the path of propagation provides negative group-velocity dispersion, stable solitary pulses exist for pulse energy smaller than a critical value. Spatial and temporal degrees of freedom cannot be analyzed separately due to their coupling through the Kerr nonlinarity. Our unified analysis not only elucidates the hidden coupling, but also clarifies relations between parameters of the solitary pulse. The analysis is verified by direct numerical simulation of the paraxial wave equation.

Original language	English
Pages (from-to)	167-170
Number of pages	4
Journal	Optics Communications
Volume	119
Issue number	1-2
DOIs	https://doi.org/10.1016/0030-4018(95)00377-K
State	Published - 15 Aug 1995

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title = "Spatio-temporal solitary pulses in graded-index materials with Kerr nonlinearity",

abstract = "We analyze spatio-temporal pulse propagation in graded-index Kerr materials with the variational method, and find that if the path of propagation provides negative group-velocity dispersion, stable solitary pulses exist for pulse energy smaller than a critical value. Spatial and temporal degrees of freedom cannot be analyzed separately due to their coupling through the Kerr nonlinarity. Our unified analysis not only elucidates the hidden coupling, but also clarifies relations between parameters of the solitary pulse. The analysis is verified by direct numerical simulation of the paraxial wave equation.",

author = "Yu, {Shinn Sheng} and Chien, {Chih Hung} and Yinchieh Lai and Jyhpyng Wang",

note = "Funding Information: This researchi s supportedb y the National Science Council of R.O.C. under the contract NSC 84-2221-E-009-033. The authors also want to thank National Center for High-PerformanceC omputing at R.O.C. for offering us their computationalp ower.",

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T1 - Spatio-temporal solitary pulses in graded-index materials with Kerr nonlinearity

AU - Yu, Shinn Sheng

AU - Chien, Chih Hung

AU - Lai, Yinchieh

AU - Wang, Jyhpyng

N1 - Funding Information: This researchi s supportedb y the National Science Council of R.O.C. under the contract NSC 84-2221-E-009-033. The authors also want to thank National Center for High-PerformanceC omputing at R.O.C. for offering us their computationalp ower.

PY - 1995/8/15

Y1 - 1995/8/15

N2 - We analyze spatio-temporal pulse propagation in graded-index Kerr materials with the variational method, and find that if the path of propagation provides negative group-velocity dispersion, stable solitary pulses exist for pulse energy smaller than a critical value. Spatial and temporal degrees of freedom cannot be analyzed separately due to their coupling through the Kerr nonlinarity. Our unified analysis not only elucidates the hidden coupling, but also clarifies relations between parameters of the solitary pulse. The analysis is verified by direct numerical simulation of the paraxial wave equation.

AB - We analyze spatio-temporal pulse propagation in graded-index Kerr materials with the variational method, and find that if the path of propagation provides negative group-velocity dispersion, stable solitary pulses exist for pulse energy smaller than a critical value. Spatial and temporal degrees of freedom cannot be analyzed separately due to their coupling through the Kerr nonlinarity. Our unified analysis not only elucidates the hidden coupling, but also clarifies relations between parameters of the solitary pulse. The analysis is verified by direct numerical simulation of the paraxial wave equation.

UR - http://www.scopus.com/inward/record.url?scp=0344274652&partnerID=8YFLogxK

U2 - 10.1016/0030-4018(95)00377-K

DO - 10.1016/0030-4018(95)00377-K

M3 - 期刊論文

AN - SCOPUS:0344274652

SN - 0030-4018

VL - 119

SP - 167

EP - 170

JO - Optics Communications

JF - Optics Communications

IS - 1-2

ER -

Spatio-temporal solitary pulses in graded-index materials with Kerr nonlinearity

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