Title | Design of a spherical focal surface using close-packed relay optics. |
Publication Type | Journal Article |
Year of Publication | 2011 |
Authors | HS Son, DL Marks, J Hahn, J Kim, and DJ Brady |
Journal | Optics Express |
Volume | 19 |
Issue | 17 |
Start Page | 16132 |
Pagination | 16132 - 16138 |
Date Published | 08/2011 |
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. |
DOI | 10.1364/OE.19.016132 |
Short Title | Optics Express |