Some new techniques for evaluating Sommerfeld integrals for microstrip antenna analysis

A new transformation for evaluating Sommerfeld integrals is derived here when the path is deformed in the upper half of the complex plane. This transformation has the feature that as the lateral separation ρ → ∞, the argument of the Bessel function diminishes. It is argued that this approach shall facilitate much efficient calculation of Sommerfeld integrals.