We present simple alternate derivations of the translation formula for spherical vector multipole fields and the recurrence relations satisfied by the translation coefficients of spherical scalar and vector multipole fields. The derivations use the well-known and widely used spherical tensor technique to conveniently couple and decouple quantities associated with spherical angular variables, and these coupling and decoupling of angular quantities substantially simplify the algebra involved. As a consequence, the derivations are quite concise, and the resulting expressions for the recurrence relations are more compact and general than the existing ones.Kristopher T. Kim (M'95) was born in Seoul, South Korea. He received the B.A. degree from the University of Chicago, IL, in 1983, and the Ph.D. degree from Purdue University, West Lafayette, . From 1988, he was on the technical staff of The Mitre Corporation, Bedford, MA, where he worked on radar systems engineering problems associated with electromagnetic wave propagation, scattering, and strategic target discrimination. In 1993, he joined the staff of the Electromagnetics and Reliability Directorate of the Rome Laboratory, Hanscom AFB, MA. His current technical interests include bistatic radar systems and computational electromagnetics.

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New efficient recursive procedures for generating the translation matrix of the scalar spherical multipole field are describd. They are based on a new set of recurrence relations that result when the angular-momentum operator is applied to the spherical multipole field. Their efficiency and accuracy are compared analytically and through a computer experiment with those of the brute-force method and an existing recursive procedure.