College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China

From the analysis and the contrast of band-limited ray tracing method based on Kirchhoff integral, it was found that the method performs many approximations in the derivation process and omits the derivative term of the phase factor in the Kirchhoff integral. Numerical calculations and analysis show that the omission of correlation terms in Kirchhoff integrals has a non-negligible effect on the calculation results, and the different terms in the Kirchhoff integral have different effects on different frequency ranges. The method can be applied to velocity models containing complex interfaces without changing the velocity model and can be extended to elastic waves and continuous media.