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Aspheric Primer

Definition:

Aspheric optical surfaces are those who’s shapes are not constrained to be spherical (or flat). In optical systems, the most commonly used aspheric surfaces are rotationally symmetric and defined by this equation (or a variation).

Z =sag height     r =radial distance from vertex     C=curvature at the vertex (1/radius of curvature)     K=conic constant     A,B,C…=polynomial terms.

 
Why Aspheres? The ability to shape a surface within an optical design to something other than a sphere adds many extra degrees of freedom. Often one aspheric component can replace 3 or more spherical components. A simple example is shown here in which a plano-convex BK-7 singlet is used to form a collimated beam of 644nm light at an aperture ratio of F/1.
Note that the scale of the drawing is not exaggerated. Clearly the aberrations are massive (over 670 waves!) By allowing the surface to be an asphere the design performance can be made essentially perfect (under .001 waves!) as shown here.
To achieve nearly perfect design performance with only spherical surfaces and BK-7 glass, a 5 element system is needed. (____ waves)
Or by using a high index, higher cost glass of 3 element design will suffice.
The use of aspheric lenses in the past has been limited by costly manufacturing techniques. With our new technology from Satishloh, the cost of producing an aspheric lens is reduced to compete with a spherical system.
 
© 2007 Kreischer Optics, Ltd. Revised April 2004.


Kreischer Optics - 1729 Oak Drive - McHerny, IL 60050 - phone: (815) 344-4220 / email: optics@kreischer.com