The design of ophthalmic lens by using optimized aspheric surface coefficients

Coddington's equations can be used to eliminate the oblique astigmatic error in the design of ophthalmic lens of spherical or other conicoidal surfaces. But it is difficult to get satisfactory result in the designing of the nonconic aspheric ophthalmic lens. In this paper we present an efficient approach based on optimization of aspheric coefficients, which enables the design program to obtain the minimum aberrations. Many higher order coefficients of aspheric surfaces can easily result in inflection point, which increases the difficulty in manufacturing. We solved the problem by taking it as one of the optimization constraints. The design of nonconic aspheric ophthalmic lens could also make the spectacle lenses well thinner in thickness and well flatter in shape than the design of spherical ophthalmic lens and other conicoidal ophthalmic lens. Damped least square methods are used in our design. Aspherical myopia ophthalmic lenses, aspherical hypermetropic lenses and cataract lenses were designed.. Comparisons of design examples' results are given.