A method that approximates a diffraction formula to the Fourier integr
al formula by the application of a coordinate transformation is propos
ed, and it is proved to be a superior and more accurate approximation
when it is applied to focusing systems under a nonsine condition. Base
d on this approximation, the condition that gives the diffraction focu
s position is derived by the application of two methods. The first is
applicable to rotationally symmetrical aberrations such as spherical a
berration, and the second is a more general method that utilizes the s
tandard deviation of a wave aberration. These methods are actually app
lied to a grating lens as a way to study both chromatic aberration cha
racteristics and oblique incidence characteristics.