Ref
1
Although many books on electromagnetism briefly cover cavity resonators
I have yet to see one which is easy to follow but still covers them
really comprehensively. Worth mentioning
are:-
1a H.R.L
Lamont, Wave Guides, A Methuen’s Monograph on Physical Subjects,
Methuen &
Co. Ltd.,London. First Published June 1942.
A small book with just one chapter on cavity
resonators but
does give field equations and some field plots for rectangular,
cylindrical and
spherical cavities.
1b G. Goubau, Electromagnetic Waveguides and Cavities, Pergamon Press, 1961. Derives the equations for rectangular, cylindrical and spherical cavities but not easy to follow due to use of non standard symbols in equations. No field plots given.
1c Constantine A. Balanis.
Advanced Engineering Electromagnetics, John Wiley & Sons, Inc., 2012,
Probably the most comprehensive book covering waveguides and cavity
resonators well but contains other electromagnetic topics
intended for advanced graduate students. In SI units and with rigorous
mathematical derivations. Not as easy to follow as Lamont (ref 1a).
Ref
2
2a
The Finite Difference Time Domain Method for Electromagnetics
by Karl S. Kunz and Raymond J. Luebbers,
CRC Press,
1993. This is the simplest book covering the basics of the technique
and giving
detailed cell calculation programs. Unfortunately it uses a method for
calculating separately the field scattered off objects and the incident
field
and this is an unnecessary complication as just computing the total
field is
simpler.
2b Computational Electrodynamics The
Finite-Difference Time-Domain Method by Allan Taflove,
Artech House, Inc.,1995. Covers many of the
different
FDTD techniques but misses some of the detail for beginners such as how
to
handle fields at boundaries and build objects out of grid squares which
Kunz
does better.
2c Numerical Solution of Initial Boundary
Value
Problems Involving Maxwell’s Equations in Isotropic Media, Kane S. Yee.
IEEE Transactions on Antennas and Propagation, Volume Ap-14, number 3,
May
1966. The original paper described the FDTD technique in 2
dimensional space only but is probably the
simplest introduction to the
topic. Gives an example of a 2 dimensional
calculation.
Ref
3
The Feynman Lectures on Physics, Richard P. Feynman, Robert B Leighton
and
Mathew Sands, Addison-Wesley Publishing Company, 1977. In
three volumes and the
complete set is well worth reading as they cover a wide
range of topics in an
exceptionally clear and unambiguous manner. If only all physics books
could be
written like this!
3a Electromagnetism is mainly in volume 2.
3b The motion of a free charge in a plane electromagnetic wave is briefly discussed in volume 1, page 34-10.
Ref 4
The velocity Verlet
algorithm
information was obtained from
http://www.fisica.uniud.it/~ercolessi/md/md/node21.html and
http://ciks.cbt.nist.gov/~garbocz/dpd1/node3.html.
These sites contained information on various computer computational
algorithms but unfortunately they no longer seem to exist but an
internet search will bring up alternative sources.
Ref 5
The Classical Theory of Fields by L. D. Landau and E. M. Lifshitz.
First published by Pergamon
Presas Ltd 1951. This is a classic
but fairly
advanced text and is part of the authors Course of Theoretical Physics,
which
comprises ten volumes. It is currently in print by Butterworth-Heine,
1998. The
equation referred to is given on page 49 of this reprint as an answer
to a
problem.
Ref
6 Pictures
of Dynamic Electric Fields by Roger Y. Tsien. American Journal of Physics, Volume 40, January 1972,
Pages 46 to 56.Gives excellent field line plots of charges moving in
various
ways at relativistic speeds.
Ref
7 Principles
of Electrodynamics by Melvin Schwartz. Originally published by McGraw-Hill Book Company,
Ref 8 Electromagnetic
Theory by Julius Adams Stratton. McGraw-Hill Book Company, Inc New Yorkand London, 1941. Although this is another
classic work
I have not used it a lot. It does have the advantage (to me at least!)
of being
in MKS units and page 476 has the equation for obtaining the magnetic
field
from the electric field for a moving point charge.
Ref
9 The
information on this site was first put on the web in 2005,
apart from the section on Charged Resonant Spinning Electromagntic
Fields which was added in October 2023. In January 2024 I became aware
of an article by J. E. Velazco and P. H. Ceperley titled "A discussion
of rotating wave fields for microwave applications" which was first
published in the "IEEE transactions on microwave theory and
techniques", vol 41.2 (1993), pages 330-335. This is now also available
for direct download from the internet on [PDF] purco.qc.ca
. The paper looks at the properties of rotating waves and the equations
for rotating electromagnetic waves in cylindrical resonators and in
particular the TM110 mode.