Open AccessSpherical Bessel function based deterministic beam‐forming for spherical‐surfaced apertures
Author(s) -
Xu K.W.,
Li H.,
Chen L.,
Huangfu J.T.,
Ran L.X.
Publication year - 2013
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2013.1090
Subject(s) - bessel function , conformal map , aperture (computer memory) , optics , beam (structure) , cusp (singularity) , weighting , fourier series , physics , mathematics , mathematical analysis , geometry , acoustics
A deterministic beam‐forming approach aiming at synthesising differently shaped beams for a partial, spherical‐surfaced conformal aperture is presented. It is mathematically shown that current distribution on such an aperture can be expanded into a Fourier series, and its far‐field radiation pattern can be further expressed in a concise closed form. If the aperture distribution satisfies a weighted zeroth‐order or first‐order spherical Bessel function, one can easily achieve various shaped beams such as pencil, flat‐topped and bimodal beams by simply tuning a single weighting coefficient of the Bessel function. The proposed approach is deterministic and intuitive, making it possible to achieve fast, real‐time beam‐forming for spherical conformal arrays.