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Multiple foci modulation with controllable positions and intensity ratios through decomposed optimization

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Abstract

In this Letter, multiple foci modulation with controllable positions and intensity ratios is presented with a multi-belt binary phase mask in a tightly focusing system. Different from previous methods, the diffractive optical element (DOE) in our model is first virtually decomposed into two or more simple sub-DOEs. Then, after optimization, the sub-DOEs are combined to form the desired DOE through superposition. By such a decomposed optimization, the optimization complexities are greatly reduced, and the calculation becomes simpler and more effective. Furthermore, since the quantities and structures of sub-DOEs can be adjusted according to the original DOE, the method is very flexible and adaptable. As a demonstration, up to nine foci on the optical axis are studied, and the simulation results show that multiple foci can be well modulated. The proposed method may provide a universal strategy for complex light field modulations in a simple way.

© 2019 Optical Society of America

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Supplementary Material (3)

NameDescription
Data File 1       Corresponding to data used for Fig.4 in the manuscript?Column i-?j refers to the parameter of ?j in sub-DOE-i
Data File 2       Corresponding to data used for Fig.5 in the manuscript?Column i-?j refers to the parameter of ?j in sub-DOE-i
Data File 3       Corresponding to data used for Fig.6 in the manuscript?Column i-?j refers to the parameter of ?j in sub-DOE-i

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Equations (8)

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