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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 17 — Jun. 10, 2012
  • pp: 3776–3786

Optimization method for ultra-wide-angle and panoramic optical systems

Li-Jun Lu, Xiao-Yan Hu, and Cui-Yuan Sheng  »View Author Affiliations

Applied Optics, Vol. 51, Issue 17, pp. 3776-3786 (2012)

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To an ultra-wide-angle and panoramic optical system, the aberrations of point object at any field angle are separated into two types: the aperture-ray aberrations of off-axis point object and the chief-ray aberrations. A simple form of the triangular formulae of tracing an oblique-incidence ray is derived to calculate the chief-ray parameters and their aberrations; moreover, the aperture-ray aberrations of an off-axis point object are analyzed with the plane-symmetric aberration theory. Based on the two types of aberrations, we present a merit function for ultra-wide-angle and panoramic optical systems; the optimization program with the differential-evolution algorithm is then developed. To validate the optimization method we finally optimize a fish-eye lens and a catadioptric omnidirectional imaging system.

© 2012 Optical Society of America

OCIS Codes
(080.1010) Geometric optics : Aberrations (global)
(080.2740) Geometric optics : Geometric optical design
(220.4830) Optical design and fabrication : Systems design
(150.1135) Machine vision : Algorithms
(080.1753) Geometric optics : Computation methods

Original Manuscript: October 13, 2011
Revised Manuscript: December 12, 2011
Manuscript Accepted: December 17, 2011
Published: June 6, 2012

Li-Jun Lu, Xiao-Yan Hu, and Cui-Yuan Sheng, "Optimization method for ultra-wide-angle and panoramic optical systems," Appl. Opt. 51, 3776-3786 (2012)

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