Bilateral symmetry breaking in nonlinear circular cylinders | Zendy

Lijun Yuan | Zendy; Ya Yan Lu | Zendy

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Bilateral symmetry breaking in nonlinear circular cylinders

Author(s) -

Lijun Yuan,

Ya Yan Lu

Publication year - 2014

Publication title -

optics express

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.394

H-Index - 271

ISSN - 1094-4087

DOI - 10.1364/oe.22.030128

Subject(s) - physics , symmetry breaking , nonlinear system , symmetry (geometry) , reflection symmetry , reflection (computer programming) , optics , classical mechanics , plane (geometry) , rotational symmetry , geometrical optics , explicit symmetry breaking , nonlinear optics , spontaneous symmetry breaking , quantum mechanics , geometry , mechanics , mathematics , computer science , programming language

Symmetry breaking is a common phenomenon in nonlinear systems, it refers to the existence of solutions that do not preserve the original symmetries of the underlying system. In nonlinear optics, symmetry breaking has been previously investigated in a number of systems, usually based on simplified model equations or temporal coupled mode theories. In this paper, we analyze the scattering of an incident plane wave by one or two circular cylinders with a Kerr nonlinearity, and show the existence of solutions that break a lateral reflection symmetry. Although symmetry breaking is a known phenomenon in nonlinear optics, it is the first time that this phenomenon was rigorously studied in simple systems with one or two circular cylinders.

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