|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|
|Pagination||16132 - 16138|
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.
|Short Title||Optics Express|