NDLI: The Four-Vector Potential for Arbitrary Sources in Cylindrical Drift Tube

Content Provider	IEEE Xplore Digital Library
Author	Gorbyk, G. Ilyenko, K.
Copyright Year	2007
Description	Author affiliation: NAS of Ukraine, Kharkiv (Gorbyk, G.; Ilyenko, K.)
Abstract	Using the method of Green functions we found the four-vector potential and electromagnetic field components for a charge moving along an arbitrary path in a perfectly conducting cylindrical waveguide. Solutions are expressed analytically through the Green functions of the d'Alembert operator with Dirichlet and Neumann boundary conditions. Boundary conditions for a four-vector potential in cylindrical coordinates are obtained via analysis of those for corresponding fields on the perfectly conducting surface and the Lorentz gauge condition. We also propose a method, which enables one to reduce the problem for the vector potential to a system of scalar d'Alambert equations in cylindrical coordinate system.
Starting Page	1
Ending Page	4
File Size	524917
Page Count	4
File Format	PDF
ISBN	9781424411696
DOI	10.1109/CEMTD.2007.4373516
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-10-15
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	wave equations Laplace equations Cylindrical symmetry Waveguide components Electromagnetic waveguides Boundary conditions Electromagnetic analysis Electron tubes Electromagnetic fields Green function time domain analysis Physics waveguide excitation Beams four-vector potential Lorentz gauge condition
Content Type	Text
Resource Type	Article

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