Buralli D A, Morris G M
Appl Opt. 1989 Sep 15;28(18):3950-9. doi: 10.1364/AO.28.003950.
The third-order aberrations of a diffractive optical element with paraxial zone spacings are derived as a function of aperture stop position. It is shown that by placing the stop in the front focal plane, coma and astigmatism are identically zero, assuming an infinitely distant object. In addition, since the element is diffractive, the Petzval sum is also zero. Modulation transfer function comparisons with other lenses are given. The correction of spherical aberration using an aspheric plate located in the aperture stop and nonmonochromatic imaging performance are discussed. The distortion of the resulting system is shown to be the proper amount for use as a Fourier transform lens. An estimate for the space-bandwidth product of this Fourier transform system is given.
推导了具有近轴区域间距的衍射光学元件的三阶像差作为孔径光阑位置的函数。结果表明，假设物体在无穷远处，将光阑置于前焦平面时，彗差和像散均恒为零。此外，由于该元件是衍射型的，匹兹伐尔和也为零。给出了与其他透镜的调制传递函数比较。讨论了使用位于孔径光阑处的非球面平板校正球差以及非单色成像性能。结果表明，所得系统的畸变对于用作傅里叶变换透镜而言是合适的量。给出了该傅里叶变换系统的空间带宽积估计值。
