Analytical Formula of Some Generalized Sommerfeld Integrals

Analytical formulas of a type of Generalized Sommerfeld Integrals (GSI), which are included in the dyadic Green's function for an infinite uniform conducting plate in eddy current nondestructive testing problems, are derived. The derived analytic formulas are expressed in the form of series whose terms are the derivatives of two basic GSI. When the plate thickness is greater than the skin depth the series converges quickly.