Research on the rule of laser beam's low-frequency phase aberration superimposition

With the low-frequency phase aberration caused by optics simulated by random phase plate and quantified with RMS phase gradient, the propagation of the beam is simulated. Something new is found with the rule of low-frequency phase aberration superimposition, so that the formula for the rule is modified, which is the theoretical foundation of phase aberration correction; the relationship between the focal spot size and RMS phase gradients is evident after simulating some focusing process. As a result, a kind of new method of controlling the beam quality is obtained