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Fields in 2D Space |
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It was shown in a previous study that Maxwell's equations imply that electromagnetic fields in the absence of charges obey the wave equation
where C is the speed of light in the medium in which the field exists.
In polar coordinates (r, θ) the Laplacian ∇² is given by
For a field that is a function of only the radial distance r the wave equation reduces to
For a field that is initially
the RHS of the previous equation evaluates to C²[2K/r³ −K/r³]=C²K/r³ .
Thus
(To be continued.)
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