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We propose a method derived from the simple plane wave expansion that can easily solve the interface problem between vacuum and a semi-infinite photonic crystal. The method is designed to find the complete set of all the eigenfunctions,…

Computational Physics · Physics 2013-05-29 Young-Chung Hsue , Tzong-Jer Yang

We present a systematic method for designing a perfect antireflection coating (ARC) for a semi-infinite one-dimensional (1D) photonic crystal (PC) with an arbitrary unit cell. We use Bloch wave expansion and time reversal symmetry, which…

Materials Science · Physics 2009-11-07 Jun Ushida , Masatoshi Tokushima , Masayuki Shirane , Hirohito Yamada

We propose a new method based on variational principle for analysis of photonic crystal (PC) slabs. Most of the methods used today treat PC slab as a three-dimensional (3D) crystal and this makes them very time and/or memory consuming. In…

Mesoscale and Nanoscale Physics · Physics 2015-05-04 Mohammad Hasan Aram , Sina Khorasani

Diffraction patterns of electrons are believed to resemble those of electromagnetic waves (EMW). I performed a series of experiments invoked to show that the periodicity of peaks in the diffraction diagram of electrons is concerned with the…

General Physics · Physics 2010-02-23 Victor V. Demjanov

We analyze the propagation of waves in unbounded photonic crystals, the waves are described by a Helmholtz equation with $x$-dependent coefficients. The scattering problem must be completed with a radiation condition at infinity, which was…

Analysis of PDEs · Mathematics 2017-01-10 Agnes Lamacz , Ben Schweizer

We propose a technique of compensating the spurious reflections implied by the multiple-scattering (MS) method, commonly used for analyzing finite photonic crystal (PC) systems, to obtain exact values of characteristic parameters, such as…

Optics · Physics 2009-11-13 Wojciech Smigaj

We systematically study a collection of refractive phenomena that can possibly occur at the interface of a two-dimensional photonic crystal, with the use of the wave vector diagram formalism. Cases with a single propagating beam (in the…

Other Condensed Matter · Physics 2015-06-24 S. Foteinopoulou , C. M. Soukoulis

We present a flexible method that can calculate Bloch modes, complex band structures, and impedances of two-dimensional photonic crystals from scattering data produced by widely available numerical tools. The method generalizes previous…

Using the unitarity and reciprocity properties of the scattering matrix, we analyse the symmetry and resonant optical properties of the photonic crystal slabs (PCS) with complicated unit cell. We show that the reflectivity is not changed…

Other Condensed Matter · Physics 2009-11-10 N. A. Gippius , S. G. Tikhodeev , T. Ishihara

There has been increasing interest in making the photonic devices more and more compact in the integrated photonics industry, and one of the important questions for manufacturers and design engineers is how to quantify the effect of the…

Optics · Physics 2016-11-23 Shidong Jiang , Jun Lai

We show both experimentally and theoretically the evanescent behaviour of modes in the Band Gap (BG) of finite Phononic Crystal (PC). Based on experimental and numerical data we obtain the imaginary part of the wave vector in good agreement…

Photonic crystals (PCs) offer unique ways to control light-matter interactions. The measurement of dispersion relations is a fundamental prerequisite if we are to create novel functionalities in PC devices. Angle-resolved spectroscopic…

We investigate the propagation of electromagnetic waves in finite photonic band gap structures. We analyze the phenomenon of conduction and forbidden bands and we show that two regimes are to be distinguished with respect to the existence…

Optics · Physics 2007-05-23 D. Felbacq , R. Smaali

The spectral dispersion of light is critical in applications ranging from spectroscopy to sensing and optical communication technologies. We demonstrate that ultra-high spectral dispersion can be achieved with a finite-size surface plasmon…

Strongly Correlated Electrons · Physics 2007-05-23 V. Mikhailov , J. Elliott , G. Wurtz , P. Bayvel , A. V. Zayats

Omnidirectional light propagation in two-dimensional (2D) photonic crystals (PCs) has been investigated by extending the formerly developed 2D finite element analysis (FEA) of in-plane light propagation in which the corresponding band…

Computational Physics · Physics 2018-11-28 Ruei-Fu Jao , Ming-Chieh Lin

We investigate theoretically electromagnetic plane-wave scattering by self-complementary metasurfaces. By using Babinet's principle extended to metasurfaces with resistive elements, we show that the frequency-independent transmission and…

Optics · Physics 2013-11-27 Yosuke Nakata , Yoshiro Urade , Toshihiro Nakanishi , Masao Kitano

We study optical coefficients that characterize wave propagation through layered structures called plasmonic crystals. These consist of a finite number of stacked metallic sheets embedded in dielectric hosts with a subwavelength spacing. By…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Matthias Maier , Mitchell Luskin , Dionisios Margetis

The purpose of this paper is to investigate the scattering by a nonlinear crystal whose depth is about the wavelength of the impinging field. More precisely, an infinite nonlinear slab is illuminated by an incident field which is the sum of…

Optics · Physics 2010-11-22 Pierre Godard , Frederic Zolla , Andre Nicolet

We present a method to map the absolute electromagnetic field strength inside photonic crystals. We apply the method to map the electric field component Ez of a two-dimensional photonic crystal slab at microwave frequencies. The slab is…

The propagation of bound optical waves along the surface of a one-dimensional (1-D) photonic crystal (PC) structure is considered. A unified description of the waves in 1-D PCs for both s- and p-polarizations is done via an impedance…

Optics · Physics 2015-03-17 Valery N. Konopsky
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