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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Format: | Article |
Language: | English |
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Spolecnost pro radioelektronicke inzenyrstvi
2008-04-01
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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. |
first_indexed | 2024-04-12T08:32:15Z |
format | Article |
id | doaj.art-9c6f65e217ce4d11a7987b38d3e08738 |
institution | Directory Open Access Journal |
issn | 1210-2512 |
language | English |
last_indexed | 2024-04-12T08:32:15Z |
publishDate | 2008-04-01 |
publisher | Spolecnost pro radioelektronicke inzenyrstvi |
record_format | Article |
series | Radioengineering |
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 |