Articles By John W. Arthur

While the primary objective of this website was to publish an on-line second edition of Brilliant Lives, this has created a platform for further articles on Maxwell and his works written by the author.

The Fundamentals of Electromagnetic Theory Revisited

This article was published in February 2008 under IEEE copyright in the IEEE Antennas and Propagation Magazine, volume 50, issue 1, pages 19-65 In 2010 it was awarded the IEEE Donald G. Fink Prize for Best Tutorial Paper. Corrections that appeared in August 2008 (page 65 of issue 4) have been incorporated.

It deals with several aspects of basic electromagnetic theory that appear to be insufficiently appreciated more than a century and a half after Maxwell published his well known equations and over half a century since the MKS / SI system of units was introduced. The main issues include problems stemming from the original theory of magnetism, confusion between key aspects of the fields B and H and the somewhat puzzling equivalences between characteristically different mathematical models based oneither poles or currents. The aim is to provide clear answers and understanding through reasoning and commentary. Only simple mathematics has been used and the treatment has been kept strictly in terms of the field quantities. Results and detailed references are given in key areas, and the history of the subject is touched on where relevant.

The Evolution of Maxwell’s Equations from 1862 to the Present Day

This article was published in June 2013 in the IEEE Antennas and Propagation Magazine, volume 55, no. 3. Given that Maxwell’s original electromagnetic equations are so different from the equations as they are generally taught today, it explains the changes in physical form and mathematical notation that were brought about largely at the hands of Oliver Heaviside. it also gives an outline of several other forms of Maxwell’s equations that can be advantageous, for example, by putting them into a particularly succinct form. Finally, the article reveals how many famous scientists have left their mark on Maxwell’s equations.

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