Journal
OPTICS EXPRESS
Volume 25, Issue 7, Pages 7677-7688Publisher
OPTICAL SOC AMER
DOI: 10.1364/OE.25.007677
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Funding
- National Natural Science Foundation of China (NSFC) [51375347, 61675155]
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Scan blind zone and control singularity are two adverse issues for the beam scanning performance in double-prism Risley systems. In this paper, a theoretical model which introduces a third prism is developed. The critical condition for a fully eliminated scan blind zone is determined through a geometric derivation, providing several useful formulae for three-Risley-prism system design. Moreover, inverse solutions for a three-prism system are established, based on the damped least-squares iterative refinement by a forward ray tracing method. It is shown that the efficiency of this iterative calculation of the inverse solutions can be greatly enhanced by a numerical differentiation method. In order to overcome the control singularity problem, the motion law of any one prism in a three-prism system needs to be conditioned, resulting in continuous and steady motion profiles for the other two prisms. (C) 2017 Optical Society of America
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