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Asymmetric Phase Error in Circular Apertures
Author(s) -
Duncan J. W.
Publication year - 1970
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/rs005i004p00725
Subject(s) - aperture (computer memory) , optics , diffraction , phase (matter) , distortion (music) , physics , radiation pattern , beam (structure) , reflector (photography) , beam divergence , position (finance) , antenna (radio) , phase distortion , mathematics , beam diameter , telecommunications , computer science , acoustics , amplifier , light source , laser , optoelectronics , cmos , quantum mechanics , laser beams , economics , finance
The diffraction pattern of a circular aperture is determined under the condition that the aperture phase function is ξ( r ) cos ф′, where ( r , ф′) are polar coordinates in the aperture and function ξ( r ) defines the radial variation of phase. The asymmetric phase error causes beam squint and distortion of the radiation pattern. The diffraction pattern is calculated by computer methods assuming ξ( r ) = β r 2 and ξ( r ) = β r 3 , where β = 0, π/4, and π/2 rad. The edge taper of the aperture field is specified as 0 db, ‐12 db, and ‐20 db. An integral formula is derived for calculating u m , the position of the pattern maximum. The analysis is used to determine the beam squint of a satellite‐mounted reflector antenna that undergoes asymmetric distortion in the space environment.