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An Uncertainty‐Type Relation Between Aperture Size and Beam Width
Author(s) -
Kurss Herbert
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/rds196835471
Subject(s) - beam diameter , beam (structure) , aperture (computer memory) , effective radiated power , isotropy , bounded function , constant (computer programming) , optics , mathematics , power (physics) , physics , mathematical analysis , quantum mechanics , laser beams , acoustics , computer science , laser , programming language
The product of aperture size and beam width for a continuous linear array of isotropic radiators is shown to be bounded below by a positive constant that depends upon the supergain ratio γ and the fraction of the radiated power contained in the main beam. The approach employed is patterned after the usual derivation of the uncertainty relation in quantum mechanics.