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

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Son, HS; Marks, DL; Hahn, J; Kim, J; Brady, DJ

Published Date

  • August 15, 2011

Published In

Volume / Issue

  • 19 / 17

Start / End Page

  • 16132 - 16138

PubMed ID

  • 21934976

Electronic International Standard Serial Number (EISSN)

  • 1094-4087

Digital Object Identifier (DOI)

  • 10.1364/OE.19.016132


  • eng

Conference Location

  • United States