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Properties of the transformation from the spherical wave expansion to the plane wave expansion
Author(s) -
Cappellin Cecilia,
Breinbjerg Olav,
Frandsen Aksel
Publication year - 2008
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2007rs003696
Subject(s) - spherical wave , plane wave , plane wave expansion , transformation (genetics) , plane (geometry) , range (aeronautics) , physics , mathematics , mathematical analysis , geometry , optics , finite difference time domain method , materials science , biochemistry , chemistry , gene , composite material
The transformation between the spherical wave expansion (SWE) and the plane wave expansion (PWE) is investigated with respect to a range of its fundamental properties. First, the transformation of individual spherical waves is studied in order to understand how these contribute to the different regions of the plane wave spectrum. Second, the number of spherical waves necessary to accurately determine the PWE over different regions of the spectral domain is investigated. Third, numerical aspects of the transformation are addressed.