This paper presents a time domain semi-analysis method based on the precise integration (PI) technique for solving Maxwell’s curl equations.Due to the introduction of the PI technique

the time domain method can not only eliminate the limitation of the stability condition for the time step size t

but also make the numerical dispersion being independent of t .The finite difference schemes of the precise integration time domain (PITD) method are deduced in computational domain and on absorbing boundary

respectively

and the time domain recursion scheme is also deduced.Moreover

the resolving scheme of the invertible matrix problem involving the time domain iteration is presented.Practical calculation is carried out

and the results are compared with the ones of the analysis solution and finite difference time domain method.The results show that the PITD method is free from the restriction of the Courant-Frendrich-Levy stability condition.At the same time

the larger time step size will not deteriorate the numerical dispersion.