NDLI: The time domain Green's function and propagator for Maxwell's equations

Content Provider	IEEE Xplore Digital Library
Author	Nevels, R. Jaehoon Jeong
Copyright Year	1963
Abstract	The free space time domain propagator and corresponding dyadic Green's function for Maxwell's differential equations are derived in one-, two-, and three-dimensions using the propagator method. The propagator method reveals terms that contribute in the source region, which to our knowledge have not been previously reported in the literature. It is shown that these terms are necessary to satisfy the initial condition, that the convolution of the Green's function with the field must identically approach the initial field as the time interval approaches zero. It is also shown that without these terms, Huygen's principle cannot be satisfied. To illustrate the value of this Green's function two analytical examples are presented, that of a propagating plane wave and of a radiating point source. An accurate propagator is the key element in the time domain path integral formulation for the electromagnetic field.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	3012
Ending Page	3018
Page Count	7
File Size	298706
File Format	PDF
ISSN	0018926X
Volume Number	52
Issue Number	11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-11-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Green's function methods Maxwell equations Electromagnetic propagation Integral equations Partial differential equations Differential equations Magnetic domains Magnetic fields Time domain analysis Convolution propagator Green's function Maxwell's equations path integral
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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