Photonic systems with two-dimensional landscapes of complex refractive index via time-dependent supersymmetry

0504788 - ÚJF 2020 RIV US eng J - Článek v odborném periodiku
Contreras-Astorga, A. - Jakubský, Vít
Photonic systems with two-dimensional landscapes of complex refractive index via time-dependent supersymmetry.
Physical Review A. Roč. 99, č. 5 (2019), č. článku 053812. ISSN 2469-9926. E-ISSN 2469-9934
Institucionální podpora: RVO:61389005
Klíčová slova: wave guides * supersymmetry * PT symmetry
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 2.777, rok: 2019
Způsob publikování: Omezený přístup
https://doi.org/10.1103/PhysRevA.99.053812

We present a framework for the construction of solvable models of optical settings with genuinely two-dimensional landscapes of refractive index. Solutions of the associated nonseparable Maxwell equations in paraxial approximation are found using the time-dependent supersymmetry. We discuss peculiar theoretical aspects of the construction. In particular, we focus on the existence of localized solutions specific for the new systems. Sufficient conditions for their existence are discussed. Localized solutions vanishing for large vertical bar(x) over right arrow vertical bar, which we call light dots, as well as the guided modes that vanish exponentially outside the wave guides, are constructed. We consider different definitions of the parity operator and analyze general properties of the PT-symmetric systems, e.g., presence of localized states or existence of symmetry operators. Despite the models with parity-time symmetry are of the main concern, the proposed framework can serve for construction of non-PT-symmetric systems as well. We explicitly illustrate the general results on a number of physically interesting examples, e.g., wave guides with periodic fluctuation of refractive index or with a localized defect, curved wave guides, two coupled wave guides, or a uniform refractive index system with a localized defect.
Trvalý link: http://hdl.handle.net/11104/0296339