Analytical investigation of phase shift impulse response of three existing phase shift models using a simple planar oscillator

This study performs analytical investigation of how accurately three existing phase shift models describe the phase shift impulse response of a simple planar oscillator. The investigation finds that Kaertner’s model perfectly describes the behavior of the phase shift impulse response, whereas the projection-based ISF, and the perturbation projection-based model oversimplify it to its initial, and final state, respectively. These findings are supported by the simulations of the phase shift impulse response of the planar oscillator. Additionally, the simulations of phase shift impulse train response reveal that only Kaertner’s model can closely follow the time evolution of the phase shift impulse train response.