The correlation eå ects of fourth-order on polarization beats in a V-type three-level system (PBVTS) are investigated using chaotic and phasediå usion models. It has been found that the temporal behaviour of the beat signal depends on the stochastic properties of the lasers and transverse relaxation rate of the transitions, and the modulation terms of the beat signal depend on the second-order coherence function, which is determined by the laser line shape. Since diå erent stochastic models of the laser eld aå ect only the fourthorder coherence function, they have little in uence on the general temporal modulation behaviour of the beat signal. The diå erent roles of the phase uctuation and amplitude uctuation have been pointed out in the time domain. The fourth-order coherence function theory of chaotic eld is of vital importance in PBVTS. The cases where the pump beams have either narrow band or broadband linewidth are considered and it has been found that for both cases a Doppler-free precision in the measurement of the energy-level splitting between two states can be achieved. Finally, the diå erence between the PBVTS and DeBeer' s ultrafast modulation spectroscopy is discussed as well from a physical viewpoint.