On a new cylindrical harmonic representation for spherical waves

Douglas H. Werner, Thomas W. Colegrove

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


An exact series representation was derived for integrals whose integrands are products of cosine and spherical wave functions. For purposes of illustration, the kernel integral for a cylindrical dipole and the vector potential for a uniform current circular loop were evaluated. Further, the representation was used to develop a new and useful series expansion for a spherical wave in terms of cylindrical harmonics. A general closed-form far-field approximation was also established and shown to reduce to the known results for the special cases of the cylindrical wire kernel and the uniform current loop vector potential.

Original languageEnglish (US)
Pages (from-to)97-100
Number of pages4
JournalIEEE Transactions on Antennas and Propagation
Issue number1
StatePublished - 1999

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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