Open AccessAnalytical statistical study of beam‐pointing error in two‐dimensional coupled oscillator arrays
Author(s) -
Hajian Hamid,
Banai Ali
Publication year - 2016
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/iet-map.2015.0529
Subject(s) - standard deviation , beam (structure) , phase (matter) , mathematics , physics , optics , statistical physics , statistics , quantum mechanics
In this study, the authors investigate the effect of the random free‐running frequency distribution of oscillators in two‐dimensional (2D) coupled oscillator arrays (COAs) on the phase error of the elements, and consequently on the beam‐pointing angle of the array. They derive an analytic formulation for the standard deviation of the beam‐pointing error (BPE) in terms of the statistical parameters of the free‐running frequencies of the elements and array configuration. The results show that in order to decrease the BPE in 2D COAs, one can use COAs with a larger size (greater number of elements) and decrease the deviation of the free‐running frequency of the oscillators.