Analysis of oscillator array dynamics for phase-shifterless beam-scanning

In this paper, set of equations for the oscillator amplitude and phase dynamics are presented by describing the coupled series-resonant oscillator array in term of Z-parameters, and they are simplified for nearest-neighbor coupling topologies. For beam-scanning using, equations of phase dynamics are analyzed under the phase model; the free-running frequencies of oscillators are controlled for certain relations. The usefulness is illustrated through simulations.