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Curvilinear Arrays
Author(s) -
Chiang Bing,
Cheng David HS
Publication year - 1968
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 - 10.1002/rds196835405
Subject(s) - curvilinear coordinates , mathematics , simple (philosophy) , poisson distribution , mathematical analysis , phase (matter) , point (geometry) , stationary phase , field (mathematics) , geometry , physics , pure mathematics , philosophy , statistics , chemistry , epistemology , chromatography , quantum mechanics
In a uniformly fed in‐phase curvilinear array, space phase is the only component that determines the field pattern of the array. A field pattern of the array can be found by simple proportionality techniques, employing the stationary phase principle and by‐passing tedious point‐by‐point calculations. Field patterns and source density functions of circular‐arc arrays are shown to be linearly interdependent. The derivation is based on Poisson's sum formula and the principle of stationary phase. A simple synthesis technique is discussed; two illustrations are included.