Bloch analysis of finite periodic microring chains

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Abstract

We apply Bloch analysis to the study of finite periodic cascading of microring resonators. Diagonalization of the standard transfer matrix approach not only allows one to find an exact analytic expression for transmission and reflection, but also to derive a closed form solution for the field in every point of the structure. To gain more physical insight we have analyzed the main features of the transmission resonances in a finite chain and we have given some hints for their experimental verification.
Original languageEnglish
Pages (from-to)109-113
JournalApplied Physics B: Lasers and Optics
Volume80
Issue number1
DOIs
Publication statusPublished - Jan 2005
MoE publication typeA1 Journal article-refereed

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title = "Bloch analysis of finite periodic microring chains",
abstract = "We apply Bloch analysis to the study of finite periodic cascading of microring resonators. Diagonalization of the standard transfer matrix approach not only allows one to find an exact analytic expression for transmission and reflection, but also to derive a closed form solution for the field in every point of the structure. To gain more physical insight we have analyzed the main features of the transmission resonances in a finite chain and we have given some hints for their experimental verification.",
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Bloch analysis of finite periodic microring chains. / Cherchi, Matteo.

In: Applied Physics B: Lasers and Optics, Vol. 80, No. 1, 01.2005, p. 109-113.

Research output: Contribution to journalArticleScientificpeer-review

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AB - We apply Bloch analysis to the study of finite periodic cascading of microring resonators. Diagonalization of the standard transfer matrix approach not only allows one to find an exact analytic expression for transmission and reflection, but also to derive a closed form solution for the field in every point of the structure. To gain more physical insight we have analyzed the main features of the transmission resonances in a finite chain and we have given some hints for their experimental verification.

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DO - 10.1007/s00340-004-1671-7

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JO - Applied Physics B: Lasers and Optics

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