Field Curvature

 

What is field curvature?

            Field curvature is the focusing of an image on a curved surface, rather than on the idealized image surface (a plane).  This means that points on a plane surface are imaged onto a curved surface.

Why does field curvature exist?

            A planar object perpendicular to the axis will be imaged as a plane only in the paraxial region.  This results in a curved image surface, called a Petzval surface, that is the focus of the object.  For a positive lens, the surface curves inward (figure 1).  For a negative lens, the surface curves outward (figure 2).

How do you get rid of it?

            For there to be zero resulting field curvature, the system must meet the Petzval condition:

This can be achieved with a combination of positive and negative lenses.

 

Hecht, Eugene, Optics, 4th edition, San Francisco: Addison-Wesley, 2002.