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Numerical Analysis of Optical Waveguides Based on Periodic Fourier Transform
Koki Watanabe;Kousuke Kuto
PIER , 2006, DOI: 10.2528/PIER06060802
Abstract: Periodic Fourier transform is formally introduced to analyses of the electromagnetic wave propagation in optical waveguides. The transform make the field components periodic and they are then expanded in Fourier series without introducing an approximation of artificial periodic boundary. The proposed formulation is applied to two-dimensional slab waveguide structures, and the numerical results evaluate the validity and show some properties of convergence.
Semi-discrete composite solitons in arrays of quadratically nonlinear waveguides  [PDF]
Nicolae C. Panoiu,Richard M. Osgood,Boris A. Malomed
Physics , 2006, DOI: 10.1364/OL.31.001097
Abstract: We demonstrate that an array of discrete waveguides on a slab substrate, both featuring the $\chi^{2}$ nonlinearity, supports stable solitons composed of discrete and continuous components. Two classes of fundamental composite solitons are identified: ones consisting of a discrete fundamental-frequency (FF) component in the waveguide array, coupled to a continuous second-harmonic (SH) component in the slab waveguide, and solitons with an inverted FF/SH structure. Twisted bound states of the fundamental solitons are found too. In contrast with usual systems, the \emph{intersite-centered} fundamental solitons and bound states with the twisted continuous components are stable, in an almost entire domain of their existence.
Optical modes in slab waveguides with magnetoelectric effect  [PDF]
Nahid Talebi
Physics , 2015,
Abstract: Optical modes in anisotropic slab waveguides with topological and chiral magnetoelectric effects are investigated analytically, by deriving the closed-form characteristic equations of the modes and hence computing the dispersion-diagrams. In order to compute the characteristic equations, a vector-potential approach is introduced by incorporating a generalized Lorentz gauge, and the corresponding Helmholtz equations are derived correspondingly. It will be shown that the formation of the complex modes and hybridization of the optical modes in such slab waveguides is inevitable. Moreover, when the tensorial form of the permittivity in the waveguide allows for a hyperbolic dispersion, complex transition from the photonic kinds of modes to the plasmonic modes is expected.
Anisotropic Left-Handed and -Negative Slab Waveguides: Physics and Device Applications  [PDF]
Hamidreza Salehi,Sujeet K. Chaudhuri,Raafat R. Mansour
Advances in OptoElectronics , 2007, DOI: 10.1155/2007/46861
Abstract: We study the properties of various anisotropic left-handed slab waveguides. The analysis is extended to anisotropic μ-negative slab waveguides. The possible existence of the plasmon modes in various anisotropic slab waveguide configurations is discussed. An FDTD program is developed to investigate the potential device applications of these anisotropic structures. A new signal detector and a two-channel harmonic separator multiplexer are designed employing the μ-negative slab waveguide.
Surface Wave Modes in Chiral Negative Refraction Grounded Slab Waveguides
Jian-Feng Dong
PIER , 2009, DOI: 10.2528/PIER09062604
Abstract: μThe surface wave modes in the chiral negative refraction grounded slab waveguides in which the slab or cladding consists of chiral negative refraction metamaterial are investigated. The dispersion relations, electromagnetic fields, energy flow distribution and the total power of surface wave modes are presented. Some novel features have been found. The energy flow of surface wave mode is in opposite directions in the core and cladding. The total power is negative (corresponds to backward wave) in the grounded chiral negative refraction metamaterial slab waveguides.
Design of Optomechanical Cavities and Waveguides on a Simultaneous Bandgap Phononic-Photonic Crystal Slab  [PDF]
Amir H. Safavi-Naeini,Oskar Painter
Physics , 2010, DOI: 10.1364/OE.18.014926
Abstract: In this paper we study and design quasi-2D optomechanical crystals, waveguides, and resonant cavities formed from patterned slabs. Two-dimensional periodicity allows for in-plane pseudo-bandgaps in frequency where resonant optical and mechanical excitations localized to the slab are forbidden. By tailoring the unit cell geometry, we show that it is possible to have a slab crystal with simultaneous optical and mechanical pseudo-bandgaps, and for which optical waveguiding is not compromised. We then use these crystals to design optomechanical cavities in which strongly interacting, co-localized photonic-phononic resonances occur. A resonant cavity structure formed by perturbing a "linear defect" waveguide of optical and acoustic waves in a silicon optomechanical crystal slab is shown to support an optical resonance at wavelength 1.5 micron and a mechanical resonance of frequency 9.5 GHz. These resonances, due to the simultaneous pseudo-bandgap of the waveguide structure, are simulated to have optical and mechanical radiation-limited Q-factors greater than 10^7. The optomechanical coupling of the optical and acoustic resonances in this cavity due to radiation pressure is also studied, with a quantum conversion rate, corresponding to the scattering rate of a single cavity photon via a single cavity phonon, calculated to be 292 kHz.
Design, Fabrication, and Measurement of Two-Dimensional Photonic Crystal Slab Waveguides
ZHANG Chao,TANG Xuan,MAO Xiao-Yu,CUI Kai-Yu,CAO Lei,HUANG Yi-Dong,ZHANG Wei,PENG Jiang-De,

中国物理快报 , 2008,
Abstract: Two-dimensional photonic crystal slab waveguides on SOI wafer are designed and fabricated. Photonic band gap, band gap guided mode, and index guided mode are observed by measuring the transmission spectra. The experimental results are in good agreement with the theoretical ones.
Comparative Analysis of Guided Modal Properties of Double-Positive and Double-Negative Metamaterial Slab Waveguides
K. Y. Kim
Radioengineering , 2009,
Abstract: The guided modal properties of double-positive and double-negative metamaterial slab waveguides are numerically analyzed and compared when varying the dielectric and magnetic constants. As the cutoff frequencies of both slab waveguides remained unchanged when the absolute value of the refractive index was kept invariant, this enabled an effective comparison of the respective guided modes. Thus, the guided mode dispersion characteristics of the double-positive and double-negative slab waveguides were analyzed and compared, including several higher order modes. As a result, this comparative analysis provides greater physical insights and a better understanding of the guided modal characteristics of double-negative metamaterial slab waveguides.
Ultrafast Deflection of Spatial Solitons in AlGaAs Slab Waveguides  [PDF]
J. Hübner,J. S. Aitchison,H. M. van Driel
Physics , 2005, DOI: 10.1364/OL.30.003168
Abstract: We demonstrate ultrafast all-optical deflection of spatial solitons in an AlGaAs slab waveguide using 190 fs, 1550 nm pulses which are used to generate and deflect the spatial soliton. The steering beam is focused onto the top of the waveguide near the soliton pathway and the soliton is steered due to refractive index changes induced by optical Kerr, or free carrier (Drude) effects. Angular deflections up to 8 mR are observed.
Fourier Methods for Harmonic Scalar Waves in General Waveguides  [PDF]
Anders Andersson,Borje Nilsson,Thomas Biro
Physics , 2013, DOI: 10.1007/s10665-015-9808-8
Abstract: A set of semi-analytical techniques based on Fourier analysis is used to solve wave scattering problems in variously shaped waveguides with varying normal admittance boundary conditions. Key components are newly developed conformal mapping methods, wave splitting, Fourier series expansions in eigen-functions to non-normal operators, the building block method or the cascade technique, Dirichlet-to-Neumann operators, and reformulation in terms of stable differential equations for reflection and transmission matrices. For an example the results show good correspondence with a finite element method solution to the same problem in the low and medium frequency domain. The Fourier method complements finite element analysis as a waveguide simulation tool. For inverse engineering involving tuning of straight waveguide parts joining complicated waveguide elements, the Fourier method is an attractive alternative including time aspects. The prime motivation for the Fourier method is its added physical understanding primarily at low frequencies.
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