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

物理學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

55 引文斯高帕斯（Scopus）

摘要

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.

原文	???core.languages.en_GB???
頁（從 - 到）	167-170
頁數	4
期刊	Optics Communications
卷	119
發行號	1-2
DOIs	https://doi.org/10.1016/0030-4018(95)00377-K
出版狀態	已出版 - 15 8月 1995

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10.1016/0030-4018(95)00377-K

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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.

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

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

M3 - 期刊論文

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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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