# Theoretical justification of Pocklington's equation for diffractionby thin wires

july, 2007

Publication type:

Conference without proceedings

Conference:

WAVES, Reading Angleterre

External link:

Abstract:

Pocklington in 1879 proposed a
simplified one-dimensional integral equation relating the current at
the surface of a straight finite wire to the tangential trace of an incident
electromagnetic field. This equation has been derived assuming that the current is constant across any
section of the wire. At least for the model problem of a finite, straight and
cylindrical wire, this simplified equation has been proved to be well
posed. However, to our knowledge, there has been no rigorous
study of the error between the solution of the exact integral equation
and the solution of Pocklington's equation. We address this
problem for the model case of acoustics in a smooth geometry.

BibTeX:

@conference{Cla-2007-1, author={Xavier Claeys }, title={Theoretical justification of Pocklington's equation for diffractionby thin wires }, publisher={WAVES, Reading Angleterre }, year={2007 }, month={7}, }