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arXiv · 1803.10218

Path Integral for Non-Paraxial Optics

Maria Chiara Braidotti·Claudio Conti·Mir Faizal·Sanjib Dey·Lina Alasfar·Salwa Alsaleh·Amani Ashour
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Abstract

In this paper, we have constructed the Feynman path integral method for non-paraxial optics. This is done by using the mathematical analogy between a non-paraxial optical system and the generalized Schr\"odinger equation deformed by the existence a minimal measurable length. Using this analogy, we investigated the consequences of a minimal length in this optical system. This path integral has been used to obtain instanton solution for such a optical systems. Moreover, the Berry phase of this optical system has been investigated. These results may disclose a new way to use the path integral approach in optics. Furthermore, as such system with an intrinsic minimal length have been studied in quantum gravity, the ultra-focused optical pluses can be used as an optical analog of quantum gravity.

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Maria Chiara Braidotti, Claudio Conti, Mir Faizal, Sanjib Dey, Lina Alasfar, Salwa Alsaleh, Amani Ashour. 2018-03-24. Path Integral for Non-Paraxial Optics. https://doi.org/10.1209/0295-5075%2F124%2F44001

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