Beam scanning of uniform circular array based on coupled oscillators

Abstract

Uniform circular array(UCA) based on coupled oscillators is introduced for new phased array. A phase model of the array is proposed and a set of nonlinear phase differential equations are studied. Linear phase distribution among UCA is achieved using York's method for coupled oscillators array, causing error in beam scaning of coupled oscillators UCA, and the inter-element phase shift that can be varied only over the range (−30°, 30°). A new method to establish nonlinear phase distribution among coupled oscillators UCA is introduced which eliminate phase shifter. It is shown that arbitrary phase difference over the range (−90°, 90°) can be established by detuning the free-running frequency of each element, while maintaining mutual synchronization. This method can be used for electronic beam scanning in UCA based on coupled oscillators.