Path Integral for Non-Paraxial Optics
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.
Keywords
Cite
@article{arxiv.1803.10218,
title = {Path Integral for Non-Paraxial Optics},
author = {Maria Chiara Braidotti and Claudio Conti and Mir Faizal and Sanjib Dey and Lina Alasfar and Salwa Alsaleh and Amani Ashour},
journal= {arXiv preprint arXiv:1803.10218},
year = {2018}
}
Comments
12 pages, 1 figure, Accepted in EPL, Typos corrected, Few references and one figure added