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5 August 2015 Analysis of retroreflectors in stabilization system based on 3-D ray tracing matrix
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In this paper we propose a ray tracing method in 3-D space. This method, based on ABCD ray transfer matrices in 2-D spacey, is deduced to establish the matrix expression for ray tracing in 3-D space. In order to solve the attitude control problem of the plan mirror in image stabilization system, we construct a mathematical model to describe the ray passing process from incident plane, mirror reflection, to the next optical plane. Two 2*2 ABCD submatrixes, for two 2-D subspaces, have been used to describe the propagation rules of ray in a 3-D space. Furthermore, the stabilization formula has been deduced. In this way, the offset angle for stabilization and coordinate of ray in space can be got. With the simulation experiments, we verified the effectiveness and accuracy of this mathematical model. The method we put forward has the characteristics of universal and simple. This 3-D ray tracing method could be further applied to other optical area.
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Fan Fan, Qun Hao, Xuemin Cheng, and Heng Li "Analysis of retroreflectors in stabilization system based on 3-D ray tracing matrix", Proc. SPIE 9618, 2015 International Conference on Optical Instruments and Technology: Optical Systems and Modern Optoelectronic Instruments, 961810 (5 August 2015);

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