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Recently, an approximate asymptotic solution for the fields in the boundary layer of a smooth convex impedance surface was obtained (P. E. Hussar and E. M. Smith-Rowland, J. Electro. Waves and Appl., vol.16, p.185-208, 2002) in creeping-ray modal format. Here it is shown that the same methodology can be employed to provide a solution that both satisfies the Maxwell equations to order k-23/ and corresponds to an excitation by an infinitesimal surface magnetic dipole of arbitrarily specified orientation. This solution is useful for UTD-like analysis of coupling between antennas on a convex surface represented by an impedance boundary condition.