Abstract

Any two-surfaced optical system, either refracting or reflecting, can be made stigmatic (aplanatic and anastigmatic) for object at infinity by using curved Fresnel surfaces instead of the usual conics. Such systems will also have a flat field under certain conditions and may even be distortion free. It is also shown that systems of flat Fresnel mirrors have incurable line coma.

© 1979 Optical Society of America

Aberrations of curved zone plates and Fresnel lenses

W. A. Kleinhans
Appl. Opt. 16(6) 1701-1704 (1977)

Geometrical design for aspheric reflecting systems

Lawrence Mertz
Appl. Opt. 18(24) 4182-4186 (1979)

Direct stigmatic imaging with curved surfaces

Johannes Courtial, Stephen Oxburgh, and Tomáš Tyc
J. Opt. Soc. Am. A 32(3) 478-481 (2015)

Stop and conjugate shift for systems of curved Fresnel surfaces

Erwin Delano
J. Opt. Soc. Am. 73(12) 1828-1831 (1983)

Highly concentrating Fresnel lenses

E. M. Kritchman, A. A. Friesem, and G. Yekutieli
Appl. Opt. 18(15) 2688-2695 (1979)