Generalization of the first-order formula for analysis of scan patterns of Risley prisms

Yong-Geun Jeon

doi:10.1117/1.3655501

1 November 2011 Generalization of the first-order formula for analysis of scan patterns of Risley prisms

Yong-Geun Jeon

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Optical Engineering, Vol. 50, Issue 11, 113002 (November 2011). https://doi.org/10.1117/1.3655501

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.

©(2011) Society of Photo-Optical Instrumentation Engineers (SPIE)

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Yong-Geun Jeon "Generalization of the first-order formula for analysis of scan patterns of Risley prisms," Optical Engineering 50(11), 113002 (1 November 2011). https://doi.org/10.1117/1.3655501

Published: 1 November 2011

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