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Efficient femtosecond pulse generation using a parabolic amplifier combined with a pulse compressor. II. Finite gain bandwidth effect

Efficient femtosecond pulse generation using a parabolic amplifier combined with a pulse compressor. II. Finite gain bandwidth effect
Efficient femtosecond pulse generation using a parabolic amplifier combined with a pulse compressor. II. Finite gain bandwidth effect
A derivation of an analytical expression for the propagation of a parabolic pulse in an optical fiber amplifier with a finite Lorentzian gain bandwidth is presented. Through a separation of variables combined with the method of stationary phase, we derive equations in both time and frequency spaces to obtain the analytical solution. This results in a compact analytical form that has a number of physical meanings. It shows that the finite gain bandwidth seriously limits the performance of parabolic amplification by distorting both the chirp and the frequency envelope, thus preventing efficient pulse compression required for high-power femtosecond pulse generation. The validity of the analytical derivation is verified through numerical simulations using the split-step Fourier method, showing an excellent agreement with the derived analytical solution, in pulse shape, chirp, and the optical spectrum.
0740-3224
10-19
Soh, D.B.S.
63fa85d4-c6db-461a-8383-fdb1897bf3d0
Nilsson, J.
f41d0948-4ca9-4b93-b44d-680ca0bf157b
Grudinin, A.B.
8f50b467-7d60-46db-b29d-a89b1059a1d8
Soh, D.B.S.
63fa85d4-c6db-461a-8383-fdb1897bf3d0
Nilsson, J.
f41d0948-4ca9-4b93-b44d-680ca0bf157b
Grudinin, A.B.
8f50b467-7d60-46db-b29d-a89b1059a1d8

Soh, D.B.S., Nilsson, J. and Grudinin, A.B. (2006) Efficient femtosecond pulse generation using a parabolic amplifier combined with a pulse compressor. II. Finite gain bandwidth effect. Journal of the Optical Society of America B, 23 (1), 10-19.

Record type: Article

Abstract

A derivation of an analytical expression for the propagation of a parabolic pulse in an optical fiber amplifier with a finite Lorentzian gain bandwidth is presented. Through a separation of variables combined with the method of stationary phase, we derive equations in both time and frequency spaces to obtain the analytical solution. This results in a compact analytical form that has a number of physical meanings. It shows that the finite gain bandwidth seriously limits the performance of parabolic amplification by distorting both the chirp and the frequency envelope, thus preventing efficient pulse compression required for high-power femtosecond pulse generation. The validity of the analytical derivation is verified through numerical simulations using the split-step Fourier method, showing an excellent agreement with the derived analytical solution, in pulse shape, chirp, and the optical spectrum.

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Published date: 2006
Organisations: Optoelectronics Research Centre

Identifiers

Local EPrints ID: 41171
URI: http://eprints.soton.ac.uk/id/eprint/41171
ISSN: 0740-3224
PURE UUID: bb63fa3c-d422-46f9-b98e-b7f22e5afdf6
ORCID for J. Nilsson: ORCID iD orcid.org/0000-0003-1691-7959

Catalogue record

Date deposited: 26 Jul 2006
Last modified: 10 Dec 2019 01:51

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Contributors

Author: D.B.S. Soh
Author: J. Nilsson ORCID iD
Author: A.B. Grudinin

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