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Optical Engineering • Open Access

Generalization of the first-order formula for analysis of scan patterns of Risley prisms
Author(s): Yong-Geun Jeon

Paper Abstract

A first-order formula for calculations of the direction cosines of the rays refracted by Risley prisms was derived. The formula was obtained by representing the deviation of the ray passing through a prism by the product of rotation matrices, and using the series expansion of the product. It can be applied to the system of an arbitrary number of prisms or a combination of Risley prisms. Related errors were discussed and some numerical calculations were made and compared with the exact solutions using the refraction equation. The scan patterns of a single Risley prism or a combination of two Risley prisms calculated using the generalized first-order formula are in good agreement with the exact solutions.

Paper Details

Date Published: 1 November 2011
PDF: 8 pages
Opt. Eng. 50(11) 113002 doi: 10.1117/1.3655501
Published in: Optical Engineering Volume 50, Issue 11
Show Author Affiliations
Yong-Geun Jeon, Agency for Defense Development (Korea, Republic of)


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