1、标准面的矢高值或Z坐标定义为:
若将公式置于平面图中,则z代替x坐标,而r代表y坐标。
其中
c是曲率(曲率半径的倒数),c=1/R0,其中R0为定点处曲率半径;
r是镜头单位下的径向坐标,r=(x^2+y^2)^1/2,为非球面到光轴的距离,即主光线在非球面上的入射高度(半孔径);
k是圆锥系数,k=-e^2,其中k为圆锥系数,e为偏心率。
定义中,
双曲线的圆锥系数小于-1,k<-1;
抛物线的圆锥系数等于-1,k=-1;
椭圆的圆锥系数在 -1 和 0 之间,-1
球面的圆锥系数为 0,k=0;
扁椭球的圆锥系数大于0,k>0;以椭圆短轴为对称轴的半椭球面;
要使镜面呈抛物线形式,
输入圆锥系数为 -1。
2、实际应用ZEMAX与光学图纸公式

非球面参数公式:Z(Y)=c*Y^2/{1+[1-(1+k)*c^2*Y^2]^0.5}+A*Y^2+B*Y^4+C*Y^6+D*Y^8……,
Y=r(为非球面到光轴的距离,即主光线在非球面上的入射高度半孔径);
c=1/R0,R0为定点处曲率半径;
k=-e^2,k为圆锥系数,e为偏心率。
Z(Y)=X,即为X坐标。20231220
3、zemax说明书:
Toroidal
Toroidal surfaces are formed by defining a curve in the Y-Z plane, and then rotating this curve about an axis parallel to the Y axis and intersecting the Z axis. Toroids are defined using a base radius of curvature in the Y-Z plane, as well as a conic constant and polynomial aspheric coefficients. The curve in the Y-Z plane is defined by: