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We prove recurrence relations and modulo periodic properties of multiple derivatives of Fibonacci polynomials. We apply the obtained results to present the dynamic structures of Fibonacci polynomials over the ring of 2-adic integers by…

Number Theory · Mathematics 2019-07-15 Myunghyun Jung , Donggyun Kim , Kyunghwan Song

Photonic band gaps for the soft x-rays, formed in the periodic structures of solids or dense plasmas, are theoretically investigated. Optical manipulation mechanisms for the soft x-rays, which are based on these band gaps, are…

Plasma Physics · Physics 2015-05-14 S. Ku , S. Son , Sung Joon Moon

We develop a modal method that solves Maxwell's equations in the presence of the linearized hydrodynamic correction. Using this approach, it is now possible to calculate the full diffraction for structures with period of the order of the…

Optics · Physics 2013-11-15 Avner Yanai , N. Asger Mortensen , Uriel Levy

Aspects of the theory of characteristic modes, based on their variational formulation, are presented and an explicit form of a related functional, involving only currents in a spatial domain, is derived. The new formulation leads to deeper…

Classical Physics · Physics 2017-09-01 Miloslav Capek , Pavel Hazdra , Michal Masek , Vit Losenicky

We investigate the topological properties of Fibonacci quasicrystals using cavity polaritons. Composite structures made of the concatenation of two Fibonacci sequences allow investigating generalized edge states forming in the gaps of the…

Mesoscale and Nanoscale Physics · Physics 2018-03-30 F. Baboux , E. Levy , A. Lemaître , C. Gomez , E. Galopin , L. Le Gratiet , I. Sagnes , A. Amo , J. Bloch , E. Akkermans

Optical properties of a one-dimensional photonic structure consisting of Kerr-type nonlinear and magnetic layers under the action of an external static magnetic field in the Faraday geometry are investigated. The structure is a periodic…

The concept of local symmetry is a powerful tool in predicting complex transport phenomena in aperiodic media. A nonlocal continuity formalism reveals how local symmetries are encoded into the dynamics of light propagation in discrete…

Two-dimensional ternary locally resonant phononic crystals used to consist of cylindrical scatterers with uniform coatings in their exterior. An alternative coating scheme with a comblike profile is proposed and investigated in this letter.…

Materials Science · Physics 2013-12-05 Yan-Feng Wang , Yue-Sheng Wang , Litian Wang

One of the most appealing aspects of photonic crystal structures is the photonic bandgap created in structures with sufficiently high dielectric contrasts between constituent materials. Understanding how specific photonic crystal structures…

Optics · Physics 2021-05-14 Alex Lonergan , Breda Murphy , Colm O'Dwyer

We investigated on the interface modes in a heterostructure consisting of a semi-infinite metallic layer and a semi-infinite Fibonacci quasi-periodic structure. Various properties of the interface modes, such as their spatial localizations,…

Optics · Physics 2015-05-19 Xiao-Ning Pang , Jian-Wen Dong , He-Zhou Wang

We present an experimental and theoretical study of the optical properties of metal-dielectric-metal structures with patterned top metallic surfaces, in the THz frequency range. When the thickness of the dielectric slab is very small with…

Photonic modes in dielectric nanostructures, e.g., wide gap semiconductor like CeO2 (ceria), has potential for various applications such as light harvesting and information transmission. To fully understand the properties of such phenomenon…

Optics · Physics 2024-08-06 Yifan Wang , Shize Yang , Peter A. Crozier

We present wave transport experiments in hyperuniform disordered arrays of cylinders with high dielectric permittivity. Using microwaves, we show that the same material can display transparency, photon diffusion, Anderson localization, or a…

Disordered Systems and Neural Networks · Physics 2020-10-16 Geoffroy J. Aubry , Luis S. Froufe-Pérez , Ulrich Kuhl , Olivier Legrand , Frank Scheffold , Fabrice Mortessagne

We study band modulations and topological transitions in a one-dimensional periodic bead-on-string chain. Using an exact transfer-matrix formulation of the wave equation with periodically modulated mass density, combined with numerical…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Haocong Pan , Wei Wang , Chunling Liu

We report on optical properties of various polymorphs of hafnia predicted within the framework of density functional theory. The full potential linearised augmented plane wave method was employed together with the Tran-Blaha modified…

Materials Science · Physics 2016-09-21 Pavel Ondračka , David Holec , David Nečas , Lenka Zajíčková

The design and development of new photonic devices for technological applications requires a deep understanding of the effect of structural properties on the resulting band gap size and its position. Here, we perform a theoretical study of…

Optics · Physics 2024-05-24 Oscar D. H. Pardo , R. R. Rey-González

Recent studies on fully dielectric multilayered metamaterials have shown that the negligibly small nonlocal effects (spatial dispersion) typically observed in the limit of deeply subwavelength layers may be significantly enhanced by…

Optics · Physics 2018-12-05 Marino Coppolaro , Giuseppe Castaldi , Vincenzo Galdi

An analysis is presented of frequency versus wave-vector dispersion in elliptically birefringent one-dimensional layered periodic structures. The presence of local normal mode polarization state variations from one layer to the next is…

Optics · Physics 2007-08-06 Amir A Jalali , Miguel Levy

Multilayer stacks of twisted optical metasurfaces are considered as a prospective platform for chiral nanophotonic devices. Such structures are primarily used for the realization of circularly polarized light sources, artificial optical…

Topological phases based on tight-binding models have been extensively studied in recent decades. By mimicking the linear combination of atomic orbitals in tight-binding models based on the evanescent couplings between resonators in…

Mesoscale and Nanoscale Physics · Physics 2023-04-18 Jing Li , Hongfei Wang , Shiyin Jia , Peng Zhan , Minghui Lu , Zhenlin Wang , Yanfeng Chen , Bi-Ye Xie