| CPC G02B 1/002 (2013.01) | 18 Claims |

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1. An optical device, comprising:
a first J-plate configured to convert an incident light state into multiple pure total angular momentum (TAM) states or a superposition of the multiple pure TAM states; and
a second J-plate cascaded with the first J-plate and configured to convert the multiple pure TAM states into multiple design TAM states or a combination of the multiple design TAM states;
wherein the first J-plate or the second J-plate transfers orthogonal polarized states to associated conjugate orthogonal polarized states with different orbital angular momentum (OAM) states.
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