Time-dependent dyadic Green's functions for rectangular and circular waveguides
- 1 March 1988
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 36 (3) , 369-375
- https://doi.org/10.1109/8.192120
Abstract
Closed-form expressions for the time-dependent dyadic Green's functions of electric and magnetic types for rectangular and circular waveguides are derived from the dyadic Maxwell equations in the time domain. These functions can be used to obtain the time-dependent electric and magnetic fields propagating in those guides due to any arbitrary time-dependent current distribution inside the guide. Stationary vector wave functions are introduced that separate the space-dependent parts from the time-dependent parts of the Green's functions. Comparison of the results for the rectangular and circular guides reveals that the time-dependent parts are identical. Thus the results can be easily extended to some other cylindrical pipes such as elliptical waveguides and also to coaxial cables.Keywords
This publication has 11 references indexed in Scilit:
- Transients on lossy transmission lines with arbitrary boundary conditionsIEEE Transactions on Antennas and Propagation, 1984
- Comments on "Electric dyadic Green's functions in the source region"Proceedings of the IEEE, 1981
- Electric dyadic Green's functions in the source regionProceedings of the IEEE, 1980
- Dispersion of Very Short Microwave Pulses in WaveguideIEEE Transactions on Microwave Theory and Techniques, 1965
- Transients in a large waveguideProceedings of the IEEE, 1963
- Analysis of Millimicrosecond RF Pulse TransmissionProceedings of the IRE, 1958
- Pulse Waveform Degradation Due to Dispersion in WaveguideIEEE Transactions on Microwave Theory and Techniques, 1957
- Propagation of transients in waveguidesProceedings of the IEE Part C: Monographs, 1957
- On the Transient Phenomena in the Wave GuideJournal of the Physics Society Japan, 1952
- A New Type of Expansion in Radiation ProblemsPhysical Review B, 1935