In order to verify the effectiveness of the approach, the reflection coefficient of the Nth-order dispersive media interface is calculated and compared with the known analytical results.

The results show that the atom lasers induced by light field in Fock state, coherent state, and squeezing coherent state are always anti-bunching, the nth-order coherent, and bunching, respectively.

Some examples are given in which the electron diffraction patterns with Nth order Laue zone are indexed automatically by computer.