volume | PIER Journals

Abstract

This paper derives an infinite series solution to the Laplace equation for the electric scalar potential of a stripline/microstrip transmission line. Due to the presence of a mixed Dirichlet/Neumann boundary condition, traditional solution methods involving mode orthogonality cannot be applied. Instead, three new solution methods are explored, which are collocation, minimum discrete-squared error (MDSE), and minimum mean-squared error (MMSE). Results yield excellent agreement compared to numerical simulation of capacitance per unit length. However, the Gibbs phenomenon appears to bias the outcome with a small (≈ 0.5%) under-estimation of the true result.

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Mr. James R. Nagel