The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Les propriétés de localisation des ondes modales dans un système de guide d'ondes désordonné hors diagonale sont présentées. Le désordre est introduit en considérant les espacements entre les noyaux comme des variables aléatoires. Les équations en mode couplé sont transformées en un problème matriciel de valeurs propres et les valeurs propres et les vecteurs propres sont obtenus numériquement. Les correspondances entre les natures des modes et la densité modale des états sont discutées. Le système est divisé en plusieurs sections qui se comportent effectivement comme des systèmes isolés. Les modes dans l'ensemble du système sont une superposition de modes associés aux sections. Une section est divisée en plusieurs éléments qui non seulement se comportent apparemment comme des systèmes isolés, mais qui se couplent également les uns aux autres. Lorsqu'un élément comprend deux noyaux fortement couplés entre eux en raison d'un espacement étroit, les modes y sont fortement localisés. L’étendue des modes est quasiment indépendante du désordre du système. Dans un système avec un petit désordre, des modes fortement localisés peuvent exister. Les modes apparaissent en dehors de la bande constante de propagation du système ordonné composé de noyaux identiques d'égal espacement. Les modes proches du centre de la bande s'étendent sur un certain nombre d'éléments et ont une étendue relativement grande. De nombreux modes apparaissent près du centre de la bande et la densité modale des états y atteint un pic net.
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Akira KOMIYAMA, "Mode Waves in an Off-Diagonally Disordered Waveguide System" in IEICE TRANSACTIONS on Electronics,
vol. E83-C, no. 5, pp. 736-741, May 2000, doi: .
Abstract: Localization properties of mode waves in an off-diagonally disordered waveguide system are presented. The disorder is introduced by taking spacings between cores to be random variables. Coupled mode equations are transformed into a matrix eigenvalue problem and eigenvalues and eigenvectors are numerically obtained. Correspondences between the natures of modes and the modal density of states are discussed. The system is divided into several sections which behave effectively as isolated systems. Modes in the entire system are a superposition of modes associated with the sections. A section is divided into several elements, which do not only behave apparently as isolated systems but also couple with each other. When an element includes two cores coupled strongly with each other due to a narrow spacing, modes are strongly localized there. The extent of the modes is almost independent of the disorder of the system. In a system with small disorder strongly localized modes can exist. The modes appear outside the propagation constant band of the ordered system composed of identical cores of equal spacing. Modes near the center of the band are extended over a number of elements and have the relatively large extent. Many modes appear near the center of the band and the modal density of states has a sharp peak there.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e83-c_5_736/_p
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@ARTICLE{e83-c_5_736,
author={Akira KOMIYAMA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Mode Waves in an Off-Diagonally Disordered Waveguide System},
year={2000},
volume={E83-C},
number={5},
pages={736-741},
abstract={Localization properties of mode waves in an off-diagonally disordered waveguide system are presented. The disorder is introduced by taking spacings between cores to be random variables. Coupled mode equations are transformed into a matrix eigenvalue problem and eigenvalues and eigenvectors are numerically obtained. Correspondences between the natures of modes and the modal density of states are discussed. The system is divided into several sections which behave effectively as isolated systems. Modes in the entire system are a superposition of modes associated with the sections. A section is divided into several elements, which do not only behave apparently as isolated systems but also couple with each other. When an element includes two cores coupled strongly with each other due to a narrow spacing, modes are strongly localized there. The extent of the modes is almost independent of the disorder of the system. In a system with small disorder strongly localized modes can exist. The modes appear outside the propagation constant band of the ordered system composed of identical cores of equal spacing. Modes near the center of the band are extended over a number of elements and have the relatively large extent. Many modes appear near the center of the band and the modal density of states has a sharp peak there.},
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - Mode Waves in an Off-Diagonally Disordered Waveguide System
T2 - IEICE TRANSACTIONS on Electronics
SP - 736
EP - 741
AU - Akira KOMIYAMA
PY - 2000
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E83-C
IS - 5
JA - IEICE TRANSACTIONS on Electronics
Y1 - May 2000
AB - Localization properties of mode waves in an off-diagonally disordered waveguide system are presented. The disorder is introduced by taking spacings between cores to be random variables. Coupled mode equations are transformed into a matrix eigenvalue problem and eigenvalues and eigenvectors are numerically obtained. Correspondences between the natures of modes and the modal density of states are discussed. The system is divided into several sections which behave effectively as isolated systems. Modes in the entire system are a superposition of modes associated with the sections. A section is divided into several elements, which do not only behave apparently as isolated systems but also couple with each other. When an element includes two cores coupled strongly with each other due to a narrow spacing, modes are strongly localized there. The extent of the modes is almost independent of the disorder of the system. In a system with small disorder strongly localized modes can exist. The modes appear outside the propagation constant band of the ordered system composed of identical cores of equal spacing. Modes near the center of the band are extended over a number of elements and have the relatively large extent. Many modes appear near the center of the band and the modal density of states has a sharp peak there.
ER -