Abstract
An exact series representation is presented for integrals whose integrands are products of cosine and spherical wave functions, where the argument of the cosine term can be any integral multiple n of the azimuth angle /spl phi/. This series expansion is shown to have the following form: I(n)=e/sup -jkR0//R/sub 0/ /spl delta//sub no/-jk /spl Sigma//sub m=1//sup /spl infin// C(m,n)(k/sup 2//spl rho//spl rho/0)/m! h/sub m//sup (2)/(kR/sub 0/)/(kR/sub 0/)/sup m/. It is demonstrated that in the special cases n=0 and n=1, this series representation corresponds to existing expressions for the cylindrical wire kernel and the uniform current circular loop vector potential, respectively. A new series representation for spherical waves in terms of cylindrical harmonics is then derived using this general series representation. Finally, a closed-form far-field approximation is developed and is shown to reduce to existing expressions for the cylindrical wire kernel and the uniform current loop vector potential as special cases.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
