Splitting,or decomposition,methods have been widely used for achieving higher computational efficiency in solving wave equations.A major concern has remained,however,if the wave number involved is exceptionally large.In the case,merits of a conventional splitting method may diminish due to the fact that tiny discretization steps need to be employed to compen sate high oscillations.Our exploration studies an alternative way for solving highly oscillatory paraxial wave problems via a modified splitting strategy.In the process,an exponential transformation is first introduced to convert the underlying differential equation to coupled nonlinear equations.Then the equations are approximated by an oscillation-free semidiscretized system which can be treated by a Local-One-Dimensional(LOD)procedure for de sired accuracy,efficiency and computability.The splitting method acquired is stable asymptotically and easy to use.Some computational experiments will be presented to illustrate our results and simulations.