OSA's Digital Library

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)
http://dx.doi.org/10.1364/OE.19.016132


View Full Text Article

Enhanced HTML    Acrobat PDF (886 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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

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

Citation
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)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-17-16132


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. S.-B. Rim, P. B. Catrysse, R. Dinyari, K. Huang, and P. Peumans, “The optical advantages of curved focal plane arrays,” Opt. Express 16(7), 4965–4971 (2008). [CrossRef] [PubMed]
  2. D. J. Brady and N. Hagen, “Multiscale lens design,” Opt. Express 17(13), 10659–10674 (2009). [CrossRef] [PubMed]
  3. R. Dinyari, S.-B. Rim, K. Huang, P. B. Catrysse, and P. Peumans, “Curving monolithic silicon for nonplanar focal plane array applications,” Appl. Phys. Lett. 92(9), 091114 (2008). [CrossRef]
  4. I. Jung, J. Xiao, V. Malyarchuk, C. Lu, M. Li, Z. Liu, J. Yoon, Y. Huang, and J. A. Rogers, “Dynamically tunable hemispherical electronic eye camera system with adjustable zoom capability,” Proc. Natl. Acad. Sci. U.S.A. 108(5), 1788–1793 (2011). [CrossRef] [PubMed]
  5. H. C. Ko, M. P. Stoykovich, J. Song, V. Malyarchuk, W. M. Choi, C.-J. Yu, J. B. Geddes, J. Xiao, S. Wang, Y. Huang, and J. A. Rogers, “A hemispherical electronic eye camera based on compressible silicon optoelectronics,” Nature 454(7205), 748–753 (2008). [CrossRef] [PubMed]
  6. J. E. Ford and E. Tremblay, “Extreme Form Factor Imagers,” in Imaging Systems, OSA technical Digest (CD) (Optical Society of America, 2010), paper IMC2.
  7. O. S. Cossairt, D. Miau, and S. K. Nayar, “Gigapixel Computational Imaging,” in Proceedings of IEEE Conference on Computational Photography (IEEE, 2011), pp.1–8.
  8. D. L. Marks and D. J. Brady, “Gigagon: A Monocentric Lens Design Imaging 40 Gigapixels,” in Imaging Systems, OSA technical Digest (CD) (Optical Society of America, 2010), paper ITuC2.
  9. R. H. Anderson, “Close-up imaging of documents and displays with lens arrays,” Appl. Opt. 18(4), 477–484 (1979). [CrossRef] [PubMed]
  10. B. W. Clare and D. L. Kepert, “The Closest Packing of Equal Circles on a Sphere,” Proc. R. Soc. Lond. A Math. Phys. Sci. 405(1829), 329–344 (1986). [CrossRef]
  11. R. F. Bruinsma, W. M. Gelbart, D. Reguera, J. Rudnick, and R. Zandi, “Viral self-assembly as a thermodynamic process,” Phys. Rev. Lett. 90(24), 248101 (2003). [CrossRef] [PubMed]
  12. H. Kenner, Geodesic math and how to use it, 2nd ed. (University of California Press 2003).
  13. D. L. D. Caspar and A. Klug, “Physical Principles in the Construction of Regular Viruses,” Cold Spring Harbor Symposia on Quantitative Biology, (Cold Spring Harbor Laboratory Press, 1962), pp. 1–24. [PubMed]
  14. S. Aoyama, “Golf Ball Dimple Pattern,” U.S. Patent 6 358 161, March 19, 2002.
  15. ZEMAX, Radiant ZEMAX LLC, 112th Avenue NE, Bellevue, WA 98004.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4 Fig. 5
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited