Uniform asymptotic formulas for the creeping wave field on or off a cylinder

This work develops a uniform asymptotic formula for the creeping wave field in the shadow region of a conducting circular cylinder, excited by a magnetic line source or line dipole on the surface. Unlike previous developments in terms of Fock integrals, the uniform formula does not require switching between on and off surface formulas. Furthermore, the uniform formula is more accurate in the transition region near the surface, where neither the on nor off surface formulas work very well. Validation is by comparison with an exact numerical solution for the field due to a single surface ray. An empirical switchover criterion for the nonuniform formulas is suggested, and limitations of both the nonuniform and uniform formulas are discussed.<
>