Nonlinear geometric optics: an analytical function theory of the design of optical lenses

Jichun Wang; Duan Wang; Lihua Shi; Yuyan Liu

doi:10.1117/12.318321

5 August 1998 Nonlinear geometric optics: an analytical function theory of the design of optical lenses

Jichun Wang, Duan Wang, Lihua Shi, Yuyan Liu

Proceedings Volume 3557, Current Developments in Optical Elements and Manufacturing; (1998) https://doi.org/10.1117/12.318321
Event: Photonics China '98, 1998, Beijing, China

Abstract

Advanced optical ware needs an advanced design idea. This paper is devoted to study the focus-out distribution law of a spherical lens, which discovered the distribution law of the cross-points of the principal light axis of a lens and the outcoming light of the non-axial incident light after being twice refracted by the lens, i.e. focus-out distribution law, or call focus-out distribution function. An explicit function theory of non-focus-out non-spherical lens surface form is put forward first and it may be of use of lens design. This design is different from the traditional spherical lens, the standard quadratic non- spherical lens, and the computer-designed series expansion high order non-spherical lens. It consists in that it is a strict analytical-form explicit function. We call it as analytical-form non-sphere. The analytical-form non- spherical lens make the focus reach optimum state. This ia an important development in optical lens design.

Citation Download Citation

Jichun Wang, Duan Wang, Lihua Shi, and Yuyan Liu "Nonlinear geometric optics: an analytical function theory of the design of optical lenses", Proc. SPIE 3557, Current Developments in Optical Elements and Manufacturing, (5 August 1998); https://doi.org/10.1117/12.318321

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