Year: 2018
Type: article
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 Schrödinger 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 an optical system. 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 systems with an intrinsic minimal length have been studied in quantum gravity, the ultra-focused optical pulses can be used as an optical analog of quantum gravity.
Source: Europhysics Letters (EPL)
Institutions: University of L'Aquila, Institute for Complex Systems, National Research Council, Sapienza University of Rome, University of British Columbia, Okanagan Campus, Indian Institute of Science Education and Research Mohali, Université Clermont Auvergne, King Saud University, Damascus University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2795243127