Abstract
This paper provides some mathematical formulae for Risley
beam steer control system that is used for free space optical interconnection
system. Given the prisms' orientations, the analytic formulae can be used
to calculate the pointing position. For the inverse problem, i.e., given the
desired pointing position, the required prisms' orientations can be obtained
efficiently by applying any numerical method for systems of nonlinear equations
related to the formulae. Unlike some existing methods, these formulae are
not first-order approximation but an accurate closed analytical form. It does
not need a good initial guess on the motor positions required by some other
methods. It also does not need a feedback loop to get the correct pointing
position but it can be used in feedback implementation. This feature is especially
important for systems that need to slew the beam to the desired position quickly
and accurately.
© 2008 IEEE
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