Modelling of radiation patterns using scalar spherical harmonics with vector coefficients
Conference: EuCAP 2009 - 3rd European Conference on Antennas and Propagation
03/23/2009 - 03/27/2009 at Berlin, Germany
Proceedings: EuCAP 2009
Pages: 5Language: englishTyp: PDFPersonal VDE Members are entitled to a 10% discount on this title
Rahola, Jussi (Nokia Devices R&D, P.O. Box 407, 00045 NOKIA GROUP, Finland)
Belloni, Fabio; Richter, Andreas (Nokia Research Center, P.O. Box 407, 00045 NOKIA GROUP, Finland)
Antenna radiation patterns can be compactly represented using an expansion in spherical harmonic functions. In contrast to widely used expansions in vector spherical wave functions, we use an expansion in scalar spherical harmonics with vector coefficients to represent the vector-valued transverse electric far field (including arbitrary polarization state). The vector coefficients can be obtained using numerical integration or by a least-squares solution, the latter being also applicable to measurement data with incomplete angular coverage. Using the spherical harmonic representation, the rotation and interpolation of radiation patterns becomes very straightforward. The representation can also be used in signal processing algorithms.