基于Wassermann-Wolf方程的共形光学系统设计研究

提出了基于多项式拟合Wassermann-Wolf曲面设计共形光学系统的设计方法，并给出了完整的设计结果.共形光学系统要求导弹整流罩具有流线型几何外观以减少空气阻力，其次考虑导引头的光学系统设计，所以共形整流罩引入的像差通常高达几十甚至一百个波长量级，为导引头光学系统的设计带来了极大的困难.通过多项式拟合Wassermann-Wolf曲面提供共形光学系统初始结构，建立Zernike多项式特殊优化函数取代传统的光学系统评价函数，克服了用传统光学设计方法设计共形光学系统时系统评价函数收敛缓慢的问题，实现了共形光学系统的设计.设计结果表明，系统的调制传递函数在整个目标视场范围内达到了衍射极限.

A research of conformal optical system based on Wassermann-Wolf equations

A method for polynomial fitting of Wassermann-Wolf surfaces and the results are presented. Conformal optics by which the missile dome is shaped to aerodynamic requirements generally introduces various kinds of aberrations as targe as tens to hundreds of wave lengths across the field of regard. Through polynomial fitting of Wassermann-Wolf surfaces and using Zernike polynomials instead of traditional merit function, the conformal optical system is implemented and an example is demonstrated. The results show that MTF of the optical system approaches to the diffraction limit across the field of view.