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
Article first published online: 21 SEP 2012
©2012. American Geophysical Union. All Rights Reserved.
Volume 47, Issue 5, October 2012
How to Cite
2012), 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, Radio Sci., 47, RS5006, doi:10.1029/2012RS005008., , , , , , , , and (
- Issue published online: 21 SEP 2012
- Article first published online: 21 SEP 2012
- Manuscript Accepted: 24 JUL 2012
- Manuscript Revised: 15 JUN 2012
- Manuscript Received: 2 MAR 2012
- ESA/ESTEC. Grant Number: 20841/08/NL/GLC
- CICYT. Grant Number: TEC2010-21520-C04-04
- SENECA. Grant Number: 08833/PI/08
 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.