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Exact and Numerically Stable Closed-Form Expressions for Potential Coefficients of Rectangular Conductors
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BibTeX
@MISC{Jain_exactand,
author = {Jitesh Jain and Cheng-kok Koh and Venkataramanan Balakrishnan},
title = {Exact and Numerically Stable Closed-Form Expressions for Potential Coefficients of Rectangular Conductors},
year = {}
}
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Abstract
Abstract—Existing exact closed-form expressions for the scalar mutual and self-potential coefficients for rectangular conductors may be ill-conditioned for certain geometries. We propose new, exact, closed-form expressions for potential coefficients that are much better-conditioned. The basic idea is to express all potential coefficients as weighted sums of mutual and self-potential coefficients of suitably defined virtual plates. Experimental results are presented to demonstrate the improved numerical stability of the new formulas. Index Terms—Capacitance extraction, closed-form expressions, interconnect, potential coefficient.
Keyphrases
potential coefficient rectangular conductor numerically stable closed-form expression closed-form expression self-potential coefficient certain geometry improved numerical stability weighted sum new formula basic idea index term capacitance extraction virtual plate experimental result abstract existing exact closed-form expression
