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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 17 — Aug. 15, 2011
  • pp: 16132–16138

Design of a spherical focal surface using close-packed relay optics

Hui S. Son, Daniel L. Marks, Joonku Hahn, Jungsang Kim, and David J. Brady  »View Author Affiliations

Optics Express, Vol. 19, Issue 17, pp. 16132-16138 (2011)

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This paper presents a design strategy for close-packing circular finite-conjugate optics to create a spherical focal surface. Efficient packing of circles on a sphere is commonly referred to as the Tammes problem and various methods for packing optimization have been investigated, such as iterative point-repulsion simulations. The method for generating the circle distributions proposed here is based on a distorted icosahedral geodesic. This has the advantages of high degrees of symmetry, minimized variations in circle separations, and computationally inexpensive generation of configurations with N circles, where N is the number of vertices on the geodesic. These properties are especially beneficial for making a continuous focal surface and results show that circle packing densities near steady-state maximum values found with other methods can be achieved.

© 2011 OSA

OCIS Codes
(040.1240) Detectors : Arrays
(080.3620) Geometric optics : Lens system design
(120.4880) Instrumentation, measurement, and metrology : Optomechanics

ToC Category:
Geometric Optics

Original Manuscript: June 22, 2011
Revised Manuscript: July 21, 2011
Manuscript Accepted: July 22, 2011
Published: August 8, 2011

Hui S. Son, Daniel L. Marks, Joonku Hahn, Jungsang Kim, and David J. Brady, "Design of a spherical focal surface using close-packed relay optics," Opt. Express 19, 16132-16138 (2011)

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