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This analysis reveals wave function connections in paraxial optics using entangled states, implying new optical generation methods.
We show that the state vector of the wave function of Einstein, Podolsky, and Rosen, 1935, (EPR) is a special entangled state representation. Then, taking the entangled state representation as an intermediary, we reveal the intrinsic connection between the HG mode and the LG mode in paraxial optics. Finally, we study how to generate the entangled state representation using an optical beam splitter.
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Rui He (2025) studied this question.
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