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The analysis of the electric field and the dispersion relationship of a folded waveguide traveling wave tube using the Fourier transform

1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.

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Bibliographic Details
Main Author: Fareq, Malek, Dr.
Other Authors: mfareq@unimap.edu.my
Format: Working Paper
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2010
Subjects:
Folded waveguide traveling wave tube
Spatial harmonics
Dispersion curve
Regional Conference on Applied and Engineering Mathematics (RCAEM)
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/10298
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spelling my.unimap-102982010-11-25T03:58:58Z The analysis of the electric field and the dispersion relationship of a folded waveguide traveling wave tube using the Fourier transform Fareq, Malek, Dr. mfareq@unimap.edu.my Folded waveguide traveling wave tube Spatial harmonics Dispersion curve Regional Conference on Applied and Engineering Mathematics (RCAEM) 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. We are developing an analytical model for determining the dispersion curve of the folded waveguide traveling wave tube (FWTWT). A typical variation of the electric field at a particular time, shows that the electric field is a discontinuous rather than a continuous function, which would appear to make analyzing the waveform difficult mathematically. However the electric field can be thought of as being built up by a continuous sinusoidal wave, which is first sampled at the center of each gap, with every other sample value being flipped in sign to allow for the folding effect. These sample values are then convolved with a single rectangular pulse shape, which produces the required overall electric field variation. The Fourier transform method has been used to evaluate the spatial harmonics contents of the electric field along the interaction gaps axis of the FWTWT. The results show that the dispersion relationship of the electric field experienced by the electrons, is multi-valued, having many wavenumber values for a given operating frequency. 2010-11-25T03:58:58Z 2010-11-25T03:58:58Z 2010-06-02 Working Paper Vol.1(26), p.156-161 http://hdl.handle.net/123456789/10298 en Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 Universiti Malaysia Perlis (UniMAP) Institut Matematik Kejuruteraan
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Folded waveguide traveling wave tube
Spatial harmonics
Dispersion curve
Regional Conference on Applied and Engineering Mathematics (RCAEM)
spellingShingle Folded waveguide traveling wave tube
Spatial harmonics
Dispersion curve
Regional Conference on Applied and Engineering Mathematics (RCAEM)
Fareq, Malek, Dr.
The analysis of the electric field and the dispersion relationship of a folded waveguide traveling wave tube using the Fourier transform
description 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.
author2 mfareq@unimap.edu.my
author_facet mfareq@unimap.edu.my
Fareq, Malek, Dr.
format Working Paper
author Fareq, Malek, Dr.
author_sort Fareq, Malek, Dr.
title The analysis of the electric field and the dispersion relationship of a folded waveguide traveling wave tube using the Fourier transform
title_short The analysis of the electric field and the dispersion relationship of a folded waveguide traveling wave tube using the Fourier transform
title_full The analysis of the electric field and the dispersion relationship of a folded waveguide traveling wave tube using the Fourier transform
title_fullStr The analysis of the electric field and the dispersion relationship of a folded waveguide traveling wave tube using the Fourier transform
title_full_unstemmed The analysis of the electric field and the dispersion relationship of a folded waveguide traveling wave tube using the Fourier transform
title_sort analysis of the electric field and the dispersion relationship of a folded waveguide traveling wave tube using the fourier transform
publisher Universiti Malaysia Perlis (UniMAP)
publishDate 2010
url http://dspace.unimap.edu.my/xmlui/handle/123456789/10298
_version_ 1643789785511231488
score 13.15806

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