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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 25 — Sep. 1, 2010
  • pp: 4825–4835

Theory of modulation transfer function artifacts due to mid-spatial-frequency errors and its application to optical tolerancing

John M. Tamkin, Tom D. Milster, and William Dallas  »View Author Affiliations

Applied Optics, Vol. 49, Issue 25, pp. 4825-4835 (2010)

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Aspheric and free-form surfaces are powerful surface forms that allow designers to achieve better performance with fewer lenses and smaller packages. Unlike spheres, these surfaces are fabricated with processes that leave a signature, or “structure,” that is primarily in the mid-spatial-frequency region. These structured surface errors create ripples in the modulation transfer function (MTF) profile. Using Fourier techniques with generalized functions, the drop in MTF is derived and shown to exhibit a nonlinear relationship with the peak-to-valley height of the structured surface error.

© 2010 Optical Society of America

OCIS Codes
(110.2990) Imaging systems : Image formation theory
(110.4100) Imaging systems : Modulation transfer function
(220.1920) Optical design and fabrication : Diamond machining
(220.3620) Optical design and fabrication : Lens system design
(290.5838) Scattering : Scattering, in-field

ToC Category:
Optical Design and Fabrication

Original Manuscript: May 12, 2010
Revised Manuscript: July 17, 2010
Manuscript Accepted: July 18, 2010
Published: August 31, 2010

John M. Tamkin, Tom D. Milster, and William Dallas, "Theory of modulation transfer function artifacts due to mid-spatial-frequency errors and its application to optical tolerancing," Appl. Opt. 49, 4825-4835 (2010)

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