Evolution of the model basing on the nonlocal response functions has been accessed according to the (2+1)d schrödinger equation in cartesian coordinates .this paper presents the singular laguerre-gaussian beams modulated by the airy functions in free space. It is possible to solve process the space-time multiple beams propagating in the medium using the superposition principle. Even more, it provides the theoretical basis for all-optical control technology.
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Xiaping Zhang (2024) studied this question.
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