Computationally efficient method for Fourier transform of highly chirped pulses for laser and parametric amplifier modeling

Alexey Andrianov; Aron Szabo; Alexander Sergeev; Arkady Kim; Vladimir Chvykov; Mikhail Kalashnikov

doi:10.1364/OE.24.025974

Computationally efficient method for Fourier transform of highly chirped pulses for laser and parametric amplifier modeling

Alexey Andrianov^*
, Aron Szabo
, Alexander Sergeev
, Arkady Kim
, Vladimir Chvykov
, Mikhail Kalashnikov

^*Corresponding author for this work

Russian Academy of Sciences
ELI-Hu Nkft.
Max-Born-Institut for Nonlinear Optics and Short Pulse Spectroscopy

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

28 Citations (Scopus)

Abstract

We developed an improved approach to calculate the Fourier transform of signals with arbitrary large quadratic phase which can be efficiently implemented in numerical simulations utilizing Fast Fourier transform. The proposed algorithm significantly reduces the computational cost of Fourier transform of a highly chirped and stretched pulse by splitting it into two separate transforms of almost transform limited pulses, thereby reducing the required grid size roughly by a factor of the pulse stretching. The application of our improved Fourier transform algorithm in the split-step method for numerical modeling of CPA and OPCPA shows excellent agreement with standard algorithms.

Original language	English
Pages (from-to)	26974-26982
Number of pages	9
Journal	Optics Express
Volume	24
Issue number	23
DOIs	https://doi.org/10.1364/OE.24.025974
Publication status	Published - 14 Nov 2016

Funding

This work was suported by ELI-HU Nonprofit Ltd. (Research Collaboration Agreement ELIALPS-Laser-R&D-TC3.2-IAP) and Russian Science Foundation (RSF) (16-12-10472). The ELI-ALPS project (GINOP-2.3.6-15-2015-00001) is supported by the European Union and co-financed by the European Regional Development Fund.

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AU - Andrianov, Alexey

AU - Szabo, Aron

AU - Sergeev, Alexander

AU - Kim, Arkady

AU - Chvykov, Vladimir

AU - Kalashnikov, Mikhail

PY - 2016/11/14

Y1 - 2016/11/14

N2 - We developed an improved approach to calculate the Fourier transform of signals with arbitrary large quadratic phase which can be efficiently implemented in numerical simulations utilizing Fast Fourier transform. The proposed algorithm significantly reduces the computational cost of Fourier transform of a highly chirped and stretched pulse by splitting it into two separate transforms of almost transform limited pulses, thereby reducing the required grid size roughly by a factor of the pulse stretching. The application of our improved Fourier transform algorithm in the split-step method for numerical modeling of CPA and OPCPA shows excellent agreement with standard algorithms.

AB - We developed an improved approach to calculate the Fourier transform of signals with arbitrary large quadratic phase which can be efficiently implemented in numerical simulations utilizing Fast Fourier transform. The proposed algorithm significantly reduces the computational cost of Fourier transform of a highly chirped and stretched pulse by splitting it into two separate transforms of almost transform limited pulses, thereby reducing the required grid size roughly by a factor of the pulse stretching. The application of our improved Fourier transform algorithm in the split-step method for numerical modeling of CPA and OPCPA shows excellent agreement with standard algorithms.

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Computationally efficient method for Fourier transform of highly chirped pulses for laser and parametric amplifier modeling

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