Time-Frequency Decomposition of an Ultrashort Pulse: Wavelet Decomposition

An efficient numerical algorithm is presented for the numerical modeling of the propagation of ultrashort pulses with arbitrary temporal and frequency characteristics through linear homogeneous dielectrics. The consequences of proper sampling of the spectral phase in pulse propagation and its influe...

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Main Authors: M. Khelladi, O. Seddiki, F. T. Bendimerad
Format: Article
Language:English
Published: Spolecnost pro radioelektronicke inzenyrstvi 2008-04-01
Series:Radioengineering
Subjects:
Online Access:http://www.radioeng.cz/fulltexts/2008/08_01_56_63.pdf
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author M. Khelladi
O. Seddiki
F. T. Bendimerad
author_facet M. Khelladi
O. Seddiki
F. T. Bendimerad
author_sort M. Khelladi
collection DOAJ
description An efficient numerical algorithm is presented for the numerical modeling of the propagation of ultrashort pulses with arbitrary temporal and frequency characteristics through linear homogeneous dielectrics. The consequences of proper sampling of the spectral phase in pulse propagation and its influence on the efficiency of computation are discussed in detail. The numerical simulation presented here is capable of analyzing the pulse in the temporal-frequency domain. As an example, pulse propagation effects such as temporal and spectral shifts, pulse broadening effects, asymmetry and chirping in dispersive media are demonstrated for wavelet decomposition.
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spelling doaj.art-9c6f65e217ce4d11a7987b38d3e087382022-12-22T03:40:10ZengSpolecnost pro radioelektronicke inzenyrstviRadioengineering1210-25122008-04-011715663Time-Frequency Decomposition of an Ultrashort Pulse: Wavelet DecompositionM. KhelladiO. SeddikiF. T. BendimeradAn efficient numerical algorithm is presented for the numerical modeling of the propagation of ultrashort pulses with arbitrary temporal and frequency characteristics through linear homogeneous dielectrics. The consequences of proper sampling of the spectral phase in pulse propagation and its influence on the efficiency of computation are discussed in detail. The numerical simulation presented here is capable of analyzing the pulse in the temporal-frequency domain. As an example, pulse propagation effects such as temporal and spectral shifts, pulse broadening effects, asymmetry and chirping in dispersive media are demonstrated for wavelet decomposition.www.radioeng.cz/fulltexts/2008/08_01_56_63.pdfRefraction indexfemtosecond pulsechromatic dispersionchirpFourier analysiswavelet decomposition
spellingShingle M. Khelladi
O. Seddiki
F. T. Bendimerad
Time-Frequency Decomposition of an Ultrashort Pulse: Wavelet Decomposition
Radioengineering
Refraction index
femtosecond pulse
chromatic dispersion
chirp
Fourier analysis
wavelet decomposition
title Time-Frequency Decomposition of an Ultrashort Pulse: Wavelet Decomposition
title_full Time-Frequency Decomposition of an Ultrashort Pulse: Wavelet Decomposition
title_fullStr Time-Frequency Decomposition of an Ultrashort Pulse: Wavelet Decomposition
title_full_unstemmed Time-Frequency Decomposition of an Ultrashort Pulse: Wavelet Decomposition
title_short Time-Frequency Decomposition of an Ultrashort Pulse: Wavelet Decomposition
title_sort time frequency decomposition of an ultrashort pulse wavelet decomposition
topic Refraction index
femtosecond pulse
chromatic dispersion
chirp
Fourier analysis
wavelet decomposition
url http://www.radioeng.cz/fulltexts/2008/08_01_56_63.pdf
work_keys_str_mv AT mkhelladi timefrequencydecompositionofanultrashortpulsewaveletdecomposition
AT oseddiki timefrequencydecompositionofanultrashortpulsewaveletdecomposition
AT ftbendimerad timefrequencydecompositionofanultrashortpulsewaveletdecomposition