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Asymptotic and numerical analysis for Holland and Simpson’s thin wire formalism

✍ Scribed by X. Claeys; F. Collino

Book ID
104007370
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
836 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

In the context of simulation of electromagnetic propagation, the thin wire formalism of Holland and Simpson allows one to deal with scattering by perfectly conducting thin wires by coupling a standard FDTD method with a discrete 1D wave equation ruling the current inside the wires. This method can be very accurate, but it involves a fitting parameter that requires careful calibration.

We propose a consistency analysis and derive a formula for the calibration of this parameter in the case of a simplified 2D analogue of the method of Holland and Simpson. Our proof relies on the observation that this method is actually a hidden version of the singular function method well known in the context of elliptic equations in domains with a singular boundary.

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