CNCS Center for Nonlinear and Complex Systems
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Publications [#280374] of David J. Brady

Papers Published

  1. Son, HS; Marks, DL; Hahn, J; Kim, J; Brady, DJ, Design of a spherical focal surface using close-packed relay optics., Optics Express, vol. 19 no. 17 (August, 2011), pp. 16132-16138 [21934976], [doi]
    (last updated on 2019/11/19)

    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.