SPINNING ELECTROMAGNETIC FIELDS
The aim of this site is to analyse and describe some properties of classical electromagnetic fields. Topics of particular interest include charged and uncharged spinning fields and the fields and interaction of spinning and orbiting charges. Theoretical analysis is based on classical electromagnetic theory and frequent use has been made of Maple 6, a symbolic computation computer program. To assist in understanding the mathematics many field plots and graphs have been included and it is hoped that this together with detailed descriptions will ensure that readers who wish to ignore the maths can still understand the effects being described. A few working Maple program listings will also be included on the site although I’m afraid you must have your own Maple software to run them. It is intended to add further web pages and topics as time permits.
Site Contents (Pages marked with an asterisk (*) are mainly mathematical):-
Uncharged Resonant Spinning Electromagnetic Fields
Uncharged Resonant Spinning Electromagnetic Fields (640KB).
Describes both stationary and spinning cavity resonant modes. General description and overview of evidence for spinning fields.
*Spherical Cavity Field Equations for Stationary and Spinning Modes (313KB).
This page also shows how the conventional cavity resonator equations actually describe both spinning and stationary fields.
*Cylindrical Cavity Field Equations for Stationary and Spinning Modes (390KB).
Gives the stationary and spinning field equations but with limited explanation as this is mostly the same as for the spherical cavities as described above.
*Tables of Spherical Cavity Resonant Modes (53KB).
Contains tables showing the lowest frequency allowed modes and formulae for their resonant frequencies.
*Tables of Cylindrical Cavity Resonant Modes (59KB).
Contains tables showing the lowest frequency allowed modes and formulae for their resonant frequencies.
Experiment to Produce Spinning Electromagnetic Fields in a Cylindrical Cavity (507KB).
Describes one way to produce spinning fields and covers some of the practical difficulties encountered.
Photographs of Spinning Electromagnetic Field Cavity Experiment (190KB).
Shows three photographs of experimental set-up used.
Charged Resonant Spinning Electromagnetic Fields
A Half Wavelength (4pi) Toroidal Cavity Mode With Spin and Angular Momentum.
This link is to my paper on the viXra e-print archive site giving details of a toroidal field which although not having a microscopically charged field is nevertheless macroscopically charged. An imaginary sphere with its centre collocated with that of the toroid and with a radius slightly less than that of the toroid major radius will enclose a divergent field. With the toroid as described the charge of the field will alternate positive and negative over time.
The Fields of Electric Point Charges
Contains
an introduction to some of
the standard textbook theory of the fields of charges when stationary
or moving
in a straight line. Outlines the retarded potential technique used in
Maple
computer program 1. A simple example of manually calculating the
induction
field at the centre of the orbit of a relativistic orbiting charge and
a field
plot for an oscillating charge are included.
Examines the electric and magnetic fields along the diameter of the charge orbit in detail. Also investigates the field immediately outside the charge orbit. Shows that for a stationary observer the electric field magnitude at the centre and far side of the orbit of a relativistic charge is no greater than it would be for a stationary charge and is usually slightly less. (although the field angle is different).
Maple 6 Computer Programs
*Program
1 -To Calculate the Classical Fields of a Number of Relativistic
Charges
(290KB).
Also works with slow moving and stationary charges.
Miscellaneous
Contains an attempt to give a simple explanation of Maxwell’s equations.
Site
technical content last updated: 27th
October 2023.