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Surface modes are generally believed to be an undesirable feature of finite photonic crystals (PC), unlike point or line defect modes. However, it is possible to make the surface mode radiate by appropriate corrugation of the PC interface.…

Condensed Matter · Physics 2009-11-10 Esteban Moreno , F. J. Garcia-Vidal , L. Martin-Moreno

1-Dimensional (1D) photonics crystals with and without defects have been numerically studied using efficient Transfer Matrix Method (TMM). Detailed numerical recipe of the TMM has been laid out. Dispersion relation is verified for the…

Classical Physics · Physics 2020-07-16 Shaolin Liao , Lu Ou

We present a theoretical analysis of the standing wave patterns in STM images, which occur around surface point defects. We consider arbitrary dispersion relations for the surface states and calculate the conductance for a system containing…

Mesoscale and Nanoscale Physics · Physics 2014-01-16 N. V. Khotkevych-Sanina , Yu. A. Kolesnichenko , J. M. van Ruitenbeek

We present theoretical and experimental studies of the size and thickness dependencies of the optical emission spectra from microcavities with hexagonal shape in films of two-dimensional photonic crystal. A semiclassical plane-wave model,…

A general coupled-wave model is presented for square-lattice photonic crystal (PC) lasers with transverse-electric polarization. This model incorporates the high-order coupling effects that are important for two-dimensional PC laser…

Optics · Physics 2015-05-28 Yong Liang , Chao Peng , Kyosuke Sakai , Seita Iwahashi , Susumu Noda

Dispersion features of a graphene-coated semiconductor nanowire operating in the terahertz frequency band are consistently studied in the framework of a special theory of complex waves. Detailed classification of the waveguide modes was…

Optics · Physics 2018-06-25 Pengchao Yu , Volodymyr I. Fesenko , Vladimir R. Tuz

Photonic crystals are periodic structures which prevent light propagation along one or more directions in certain frequency intervals. Their band spectrum is usually analyzed using Floquet-Bloch decomposition. This spectrum is located on…

In this paper, for the first time, analytical expressions for determination of the wavelength of defect modes (DMs) in one-dimensional (1D) photonic crystals (PCs) with two defect layers (DLs) were obtained from the condition of zero…

Optics · Physics 2024-08-09 A. O. Kamenev , N. A. Vanyushkin , I. M. Efimov , A. H. Gevorgyan

Interface states in a 1-D photonic crystal heterostructure with multiple interfaces are examined. It is found that the behavior of the localized modes in the photonic band gaps is dependent on whether there is an even or odd number of…

Optics · Physics 2020-06-24 Nicholas J. Bianchi , Leonard M. Kahn

Investigations of the optical response of subwavelength structure arrays milled into thin metal films has revealed surprising phenomena including reports of unexpectedly high transmission of light. Many studies have interpreted the optical…

Optics · Physics 2009-11-11 G. Gay , O. Alloschery , B. Viaris de Lesegno , C. O'Dwyer , J. Weiner , H. J. Lezec

A finite element method (FEM) for solving the complex valued k({\omega}) vs. {\omega} dispersion curve of a 3D metamaterial/photonic crystal system is presented. This 3D method is a generalization of a previously reported 2D eigenvalue…

Materials Science · Physics 2015-05-28 Chris Fietz , Yaroslav Urzhumov , Gennady Shvets

With a generic lattice model for electrons occupying a semi-infinite crystal with a hard surface, we study the eigenstates of the system with a bulk band gap (or the gap with nodal points). The exact solution to the wave functions of…

Strongly Correlated Electrons · Physics 2018-11-14 Xin-Zhong Yan , C. S. Ting

A novel type of one-dimensional (1D) photonic crystal formed by the array of periodically located stacks of alternating graphene and dielectric stripes embedded into a background dielectric medium is proposed. The wave equation for the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Oleg L. Berman , Roman Ya. Kezerashvili

Photonic crystal (PC) coupled cavity waveguides (CCWs) with \textit{completely separated eigenfrequencies} (or supermodes) are investigated. Using a coupled mode theory, the properties of the supermodes, such as the electric field profiles,…

Optics · Physics 2009-11-11 Weiqiang Ding , Lixue Chen , Shutian Liu

Surface waves on liquids act as a dynamical phase grating for incident light. In this article, we revisit the classical method of probing such waves (wavelengths of the order of mm) as well as inherent properties of liquids and liquid films…

Optics · Physics 2009-11-11 Tarun Kr. Barik , Partha Roy Chaudhuri , Anushree Roy , Sayan Kar

Topological photonic crystals (PCs) can support robust edge modes to transport electromagnetic energy in an efficient manner. Such edge modes are the eigenmodes of the PDE operator for a joint optical structure formed by connecting together…

Optimization and Control · Mathematics 2024-07-30 Chiu-Yen Kao , Junshan Lin , Braxton Osting

A detailed analysis is presented of the modes of a class of spatiotemporal photonic crystal. The structure analyzed is a perfect dielectric with periodic variation of {\epsilon} in a single spatial direction, as well as periodic variation…

Optics · Physics 2010-07-05 Juan C. Gonzalez , Juan C. Minano , Pablo Benitez

Surface plasmons are usually described as surface waves with either a complex wavevector or a complex frequency. When discussing their merits in terms of field confinment or enhancement of the local density of states, controversies…

We formulate a full quantum mechanical theory of the interaction between electromagnetic modes in photonic crystal slabs and quantum well excitons embedded in the photonic structure. We apply the formalism to a high index dielectric layer…

Soft Condensed Matter · Physics 2009-11-10 D. Gerace , M. Agio , L. C. Andreani

Hyperbolic metasurfaces have gained significant attention due to their extraordinary electromagnetic properties to control propagating plane waves, but the excitation and propagation of the surface plasmon-polaritons at hyperbolic…