Holographic aspheric gratings printed with aberrant waves

In astrophysics, holographic gratings use, as far as possible, spherical grating's surface and printing laser waves. However, to obtain high spectral resolution, aberrations must be corrected up to the fourth degree, which generally requires aspheric surfaces for the grating or the laser waves. To date, technological progress makes the fabrication of such gratings possible, so we have developed a complete theory of these deformations and have written a computer program which we believe solves any grating's aberration problems.