Analytical modeling of soliton interactions in a nonlocal nonlinear medium analogous to gravitational force

Shihao Zeng, Manna Chen, Ting Zhang, Wei Hu, Qi Guo, and Daquan Lu
Phys. Rev. A 97, 013817 – Published 16 January 2018

Abstract

We illuminate an analytical model of soliton interactions in lead glass by analogizing to a gravitational force system. The orbits of spiraling solitons under a long-range interaction are given explicitly and demonstrated to follow Newton's second law of motion and the Binet equation by numerical simulations. The condition for circular orbits is obtained and the oscillating orbits are proved not to be closed. We prove the analogy between the nonlocal nonlinear optical system and gravitational system and specify the quantitative relation of the quantity between the two models.

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  • Received 21 September 2017

DOI:https://doi.org/10.1103/PhysRevA.97.013817

©2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalGeneral PhysicsGravitation, Cosmology & AstrophysicsInterdisciplinary Physics

Authors & Affiliations

Shihao Zeng, Manna Chen, Ting Zhang, Wei Hu*, Qi Guo, and Daquan Lu

  • Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 510631, People's Republic of China

  • *Corresponding author: huwei@scnu.edu.cn

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Issue

Vol. 97, Iss. 1 — January 2018

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