Symmetry in optics and photonics:a group theory approach

查看全文 作　　者：B.M.Rodriguez-[1,2]Lara;Ramy EI-[3]Ganainy;Julio [4,5]Guerrero

机构地区：[1]Tecnologico de Monterrey.Escuela de Ingenieria y Ciencias,Monterrey 64849,Mexico;[2]Instituto Nacional de Astrofisica,Optica y Electr6nica,Puebla,CP 72840,Mexico;[3]Department of Physics and Hexes Center for Quantum Phenomena,Michigan Technological University,Houghton.MI 49931,USA;[4]Departamento de Matematicas,Facultad de Ciendas Experimentales y de la Salud,Campus Las Lagunillas,Universidad de Jaen,23071Jaen,Spain;[5]Departamento de Ingenierfa y Tecnologia de Computadores,Facultad de lnformdtica,Campus Espinardo,Univesidad de Murcia,30100 Murcia,Spain

出　　处：《Science Bulletin》索引2018年第63卷第4期,共8页

基　　金：support from the Photonics and Mathematical Optics Group at Tecnologico de Monterrey and Consorcio enóptica Aplicada through CONACYT FORDECYT#290259 project grant;support from Henes Center for Quantum Phenomena,Michigan Technological University;support from Spanish MINECO projects FIS2014-57387-C3-3P and DPI2013-47100-C2-1-P 摘　　要：Group theory(GT) provides a rigorous framework for studying symmetries in various disciplines in physics ranging from quantum field theories and the standard model to fluid mechanics and chaos theory. To date, the application of such a powerful tool in optical physics remains limited. Over the past few years however, several quantum-inspired symmetry principles(such as parity-time invariance and supersymmetry) have been introduced in optics and photonics for the first time. Despite the intense activities in these new research directions, only few works utilized the power of group theory. Motivated by this status quo, here we present a brief overview of the application of GT in optics, deliberately choosing examples that illustrate the power of this tool in both continuous and discrete setups. We hope that this review will stimulate further research that exploits the full potential of GT for investigating various symmetry paradigms in optics, eventually leading to new photonic devices. 关键词：对称原则光学调查混乱理论液体力学标准模型光物理工具时间

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Symmetry in optics and photonics:a group theory approach

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