Beam scanning of uniform circular array based on coupled oscillators

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.