Second harmonic generation: the solution for an amplitude-modulated initial pulse

H. Steudel; C. Figueira de Morisson Faria; M.G.A. Paris; A.M. Kamchatnov; O. Steuernagel

doi:10.1016/S0030-4018(98)00100-X

Second harmonic generation: the solution for an amplitude-modulated initial pulse

H. Steudel
, C. Figueira de Morisson Faria
, M.G.A. Paris
, A.M. Kamchatnov
, O. Steuernagel

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

10 Citations (Scopus)

Abstract

We address the initial value problem for one-dimensional second harmonic generation starting from a purely amplitude-modulated fundamental wave. A general method to solve the problem in terms of a Schrödinger equation is presented, in which the initial pulse-shape is taken as a potential. Several examples with the complete solution given in analytical form are discussed. A much broader class of solutions can be found with the help of a single numerical integration. In particular, solutions with incident pulses approximating a sech2 -shape have been obtained.

Original language	English
Pages (from-to)	363-371
Journal	Optics Communications
Volume	150
Issue number	1-6
DOIs	https://doi.org/10.1016/S0030-4018(98)00100-X
Publication status	Published - 1998

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10.1016/S0030-4018(98)00100-X

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title = "Second harmonic generation: the solution for an amplitude-modulated initial pulse",

abstract = "We address the initial value problem for one-dimensional second harmonic generation starting from a purely amplitude-modulated fundamental wave. A general method to solve the problem in terms of a Schr{\"o}dinger equation is presented, in which the initial pulse-shape is taken as a potential. Several examples with the complete solution given in analytical form are discussed. A much broader class of solutions can be found with the help of a single numerical integration. In particular, solutions with incident pulses approximating a sech2 -shape have been obtained.",

author = "H. Steudel and \{Figueira de Morisson Faria\}, C. and M.G.A. Paris and A.M. Kamchatnov and O. Steuernagel",

note = "Original article can be found at: http://www.sciencedirect.com/science/journal/00304018 Copyright Elsevier B.V. [Full text of this article is not available in the UHRA]",

year = "1998",

doi = "10.1016/S0030-4018(98)00100-X",

language = "English",

volume = "150",

pages = "363--371",

journal = "Optics Communications",

issn = "0030-4018",

publisher = "Elsevier",

number = "1-6",

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TY - JOUR

T1 - Second harmonic generation

T2 - the solution for an amplitude-modulated initial pulse

AU - Steudel, H.

AU - Figueira de Morisson Faria, C.

AU - Paris, M.G.A.

AU - Kamchatnov, A.M.

AU - Steuernagel, O.

N1 - Original article can be found at: http://www.sciencedirect.com/science/journal/00304018 Copyright Elsevier B.V. [Full text of this article is not available in the UHRA]

PY - 1998

Y1 - 1998

N2 - We address the initial value problem for one-dimensional second harmonic generation starting from a purely amplitude-modulated fundamental wave. A general method to solve the problem in terms of a Schrödinger equation is presented, in which the initial pulse-shape is taken as a potential. Several examples with the complete solution given in analytical form are discussed. A much broader class of solutions can be found with the help of a single numerical integration. In particular, solutions with incident pulses approximating a sech2 -shape have been obtained.

AB - We address the initial value problem for one-dimensional second harmonic generation starting from a purely amplitude-modulated fundamental wave. A general method to solve the problem in terms of a Schrödinger equation is presented, in which the initial pulse-shape is taken as a potential. Several examples with the complete solution given in analytical form are discussed. A much broader class of solutions can be found with the help of a single numerical integration. In particular, solutions with incident pulses approximating a sech2 -shape have been obtained.

U2 - 10.1016/S0030-4018(98)00100-X

DO - 10.1016/S0030-4018(98)00100-X

M3 - Article

SN - 0030-4018

VL - 150

SP - 363

EP - 371

JO - Optics Communications

JF - Optics Communications

IS - 1-6

ER -

Second harmonic generation: the solution for an amplitude-modulated initial pulse

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