Asphericity and radius of removal sphere

For optics fabrication of an asphere the asphiricity (the deviation of an optical surface from a perfect sphere) and the radius of removal sphere (the enveloping spherical surface that is located outside of the material not intersecting with the surface to be generated) are needed. They can be calculated out of the asphere parameter shown below and the clear aperture. To use the calculator for off axis aspheres or axicons please change the asphere type and provide x0 and x1. These are the start end coordinates along the x-axis.  

Shows the formula for an asphere
Radius:

A:

B:

C:

Asphere type:

Clearaperture [mm]:

Conic Constant:

D:

E:

F:

 
 

Result:

Disclaimer:

Please counter-check the results. Despite thorough controls by our means, errors are possible. Use at your own risk(GTC applies). 

Additonal notes:

Please note, that the converter assumes that the material is always below the curve. For example, if we use R=-14, C=5e-08, Clearaperture=20 and 0 for all other parameter we get the   blue asphere and the red best enveloping sphere in the following picture. The material would be below the blue curve. 

Shows a blue asphere and a red sphere above the asphere.

Next steps: 

If you want to check your lens data for fabrication or get a cost estimation, you need the PanDao tool.  Find out more by getting a free live demo!