Evaluation of time domain electromagnetic fields radiated by constant velocity moving particles traveling along an arbitrarily shaped cross-section waveguide using frequency domain Green's functions
A technique for the accurate computation of the time domain electromagnetic fields radiated by a charged distribution traveling along an arbitrarily shaped waveguide region is presented. Based on the transformation (by means of the standard Fourier analysis) of the time‐varying current density of th...
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Published in | Radio science Vol. 47; no. 5 |
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Main Authors | , , , , , , , , |
Format | Journal Article |
Language | English |
Published |
Blackwell Publishing Ltd
01.10.2012
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Subjects | |
Online Access | Get full text |
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Summary: | A technique for the accurate computation of the time domain electromagnetic fields radiated by a charged distribution traveling along an arbitrarily shaped waveguide region is presented. Based on the transformation (by means of the standard Fourier analysis) of the time‐varying current density of the analyzed problem to the frequency domain, the resulting equivalent current is further convolved with the dyadic electric and magnetic Green's functions. Moreover, we show that only the evaluation of the transverse magnetic modes of the structure is required for the calculation of fields radiated by particles traveling in the axial direction. Finally, frequency domain electric and magnetic fields are transformed back to the time domain, just obtaining the total fields radiated by the charged distribution. Furthermore, we present a method for the computation of the wakefields of arbitrary cross‐section uniform waveguides from the resulting field expressions. Several examples of charged particles moving in the axial direction of such waveguides are included.
Key Points
Radiation of charged particles inside arbitrarily shaped waveguides
Two‐dimensional BI‐RME application to beam accelerators |
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Bibliography: | SENECA - No. 08833/PI/08 istex:DC14F75DE56D82F3AA07AEFF6CAD12D5000589B1 ArticleID:2012RS005008 CICYT - No. TEC2010-21520-C04-04 ark:/67375/WNG-RGKQ150K-Z Tab-delimited Table 1. ESA/ESTEC - No. 20841/08/NL/GLC |
ISSN: | 0048-6604 1944-799X |
DOI: | 10.1029/2012RS005008 |