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The potential to control the number of the spin-wave band gaps of a magnonic crystal (MC) by variation of its geometry is investigated by numerical simulations. The magnonic crystal is represented by a micro-sized planar ferromagnetic…

Mesoscale and Nanoscale Physics · Physics 2013-09-27 F. Ciubotaru , A. V. Chumak , N. Yu. Grigoryeva , A. A. Serga , B. Hillebrands

The microstrip of modulated width is a realization of a one-dimensional photonic crystal operating in the microwave regime. Like any photonic crystal, the periodic microstrip is characterised by the presence of frequency bands and band gaps…

The paper addresses the issue of existence and confinement of electromagnetic modes guided by linear defects in photonic crystals. Sufficient condition are provided for existence of such waves near a given spectral location. Confinement to…

Mathematical Physics · Physics 2013-02-26 Peter Kuchment , Beng-Seong Ong

A theoretical investigation is made of the dispersion characteristics of plasmons in a two-dimensional periodic system of semiconductor (dielectric) cylinders embedded in a dielectric (semiconductor) background. We consider both square and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Manvir S. Kushwaha

A theoretical study of photonic bands for one-dimensional (1D) lattices embedded in planar waveguides with strong refractive index contrast is presented. The approach relies on expanding the electromagnetic field on the basis of guided…

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

We present a micromagnetic analysis of spin-wave propagation in a magnonic crystal realized as a permalloy spin-wave waveguide with a spatial periodical variation of its saturation magnetization. Frequency band gaps were clearly observed in…

Mesoscale and Nanoscale Physics · Physics 2015-03-24 Florin Ciubotaru , Andrii V. Chumak , Björn Obry , Alexander A. Serga , Burkard Hillebrands

We report on the formation and development of the photonic band gap in two-dimensional 8-, 10- and 12-fold symmetry quasicrystalline lattices of low index contrast. Finite size structures made of dielectric cylindrical rods were studied and…

Optics · Physics 2011-03-01 Priya Rose , E. Di Gennaro , G. Abbate , A. Andreone

The spectrum of electromagnetic waves in periodic linear structures, such as periodic waveguides or chains of microelements i.e. spheres, cavities, exhibit the sequence of stop bands for propagating waves. Breaking the translational…

Classical Physics · Physics 2023-04-18 L. Ivzhenko , A. Girich , M. Baranowski , A. Kharchenko , S. Mieszczak , S. Polevoy , S. Tarapov , M. Krawczyk , J. Klos

We consider `off-axis' electromagnetic wave propagation down the homogeneous direction of a low-loss two-dimensional periodic dielectric (or photonic crystal fibre) near the light line of the low-dielectric material constituent. Numerous…

Optics · Physics 2026-01-22 Shane Cooper , Ilia Kamotski

The recent development of subwavelength photonic and phononic crystals shows the possibility of controlling wave propagation at deep subwavelength scales. Subwavelength bandgap phononic crystals are typically created using a periodic…

Analysis of PDEs · Mathematics 2019-04-10 Habib Ammari , Erik Orvehed Hiltunen , Sanghyeon Yu

We study the bandgap structure of two-dimensional photonic crystals created by a triangular lattice of rotated hexagonal holes, and explore the effects of the reduced symmetry in the unit-cell geometry on the value of the absolute bandgap…

Classical Physics · Physics 2007-05-23 Aaron F. Matthews , Sergei F. Mingaleev , Yuri S. Kivshar

According to a recent proposal [S. Takayama et al., Appl. Phys. Lett. 87, 061107 (2005)], the triangular lattice of triangular air holes may allow to achieve a complete photonic band gap in two-dimensional photonic crystal slabs. In this…

Soft Condensed Matter · Physics 2009-11-13 L. C. Andreani , D. Gerace

In developing strategies of manipulating surface electromagnetic waves, it has been recently recognized that a complete forbidden band gap can exist in a periodic surface-wave photonic crystal, which has subsequently produced various…

Optics · Physics 2016-06-28 Zhen Gao , Fei Gao , Youming Zhang , Hongyi Xu , Baile Zhang

We study the bandgap properties of two-dimensional photonic crystals created by a lattice of rods or holes conformed in a symmetric or asymmetric triangular structure. Using the plane-wave analysis, we calculate a minimum value of the…

Optics · Physics 2009-11-11 Aaron Matthews , Xue-Hua Wang , Yuri Kivshar , Min Gu

This paper considers the propagation of TE-modes in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a periodic background medium. Both the periodic background problem and the perturbed problem are…

Spectral Theory · Mathematics 2019-01-17 B. M. Brown , V. Hoang , M. Plum , M. Radosz , I. Wood

We introduce a small-core air-guiding photonic crystal fiber whose cladding is made of improved air-silica photonic crystal with non-circular air holes placed in triangular lattice. The fiber achieves un-disturbed bandgap guidance over…

Optics · Physics 2007-05-23 M. Yan , P. Shum

This paper considers the propagation of TE-modes in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a periodic background medium. Both the periodic background problem and the perturbed problem are…

Mathematical Physics · Physics 2017-05-04 Malcolm Brown , Vu Hoang , Michael Plum , Maria Radosz , Ian Wood

We study the transmission properties for the waveguide bends composed by a circular photonic crystal. Two types (Y and U type) of the waveguide bends utilizing the circular photonic crystal are studied. It has been shown, compared with the…

Optics · Physics 2009-11-11 Sanshui Xiao , Min Qiu

A full band gap of the longitudinal mode of elastic waves centered near 2.8 MHz with a width of ~ 1 MHz has been observed in the phononic crystals made of body centered tetragonal tungsten carbide spheres imbedded in aluminum matrix. Two…

Materials Science · Physics 2012-02-07 Ke Sun , Z. Yang

Coupled electromagnetic waves propagating in a waveguide array are discussed. This waveguide array can be considered as one dimensional photon crystal composed from the unit cell containing three different waveguides, namely, two positive…

Pattern Formation and Solitons · Physics 2015-05-20 Andrei Maimistov
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