On a new cylindrical harmonic representation for spherical waves

Douglas H. Werner; Thomas W. Colegrove

doi:10.1109/8.752999

On a new cylindrical harmonic representation for spherical waves

Douglas H. Werner, Thomas W. Colegrove

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Abstract

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 language	English (US)
Pages (from-to)	97-100
Number of pages	4
Journal	IEEE Transactions on Antennas and Propagation
Volume	47
Issue number	1
DOIs	https://doi.org/10.1109/8.752999
State	Published - 1999

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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10.1109/8.752999

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AB - 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.

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On a new cylindrical harmonic representation for spherical waves

Abstract

All Science Journal Classification (ASJC) codes

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