A Golay3 sparse aperture optical system of primary mirror with free-form surface

To image distant and dim objects, this paper designs a sparse aperture optical system with a small F number and a large filling factor. The design process is divided into three steps. To start with, the curvature radius and spacing of the primary and secondary mirrors are calculated under the guidance of the paraxial imaging theory. Then, based on the primary aberration theory, the conic coefficients of the primary and secondary mirrors are also calculated. Finally, the node aberration theory is used to increase the field of view and eliminate the residual aberrations. Through theoretical derivation and computer-aided methods, a Golay3 sparse aperture optical system with primary mirror used Zernike polynomial is designed. The full field of view is 0.3° and the F number is 5.