Modeling of Tuning of Microresonator Filters by Perturbational Evaluation of Cavity Mode Phase Shifts
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TLDR
In this article, a perturbational expression for changes in the cavity propagation constants due to slight modifications of the cavity core refractive index is derived, which permits us to analytically calculate shifts in the spectral response of the 2-D resonators.Abstract:
Microresonator filters, which are realized by evanescent coupling of circular cavities with two parallel bus waveguides, are promising candidates for applications in dense wavelength-division multiplexing. Tunability of these filters is an essential feature for their successful deployment. In this paper, we present a framework for modeling of tuning of the microresonators by changes in their cavity core refractive index. Using a reciprocity theorem, a perturbational expression for changes in the cavity propagation constants due to slight modifications of the cavity core refractive index is derived. This expression permits us to analytically calculate shifts in the spectral response of the 2-D resonators. Comparisons of the resultant shifts and spectra with direct simulations based on a coupled mode theory show satisfactory agreement.read more
Citations
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Journal ArticleDOI
Wavelength-Dependent Model of a Ring Resonator Sensor Excited by a Directional Coupler
Andre Delage,Dan-Xia Xu,Ross McKinnon,E. Post,Philip Waldron,Jean Lapointe,C. Storey,Adam Densmore,Siegfried Janz,Boris Lamontagne,Pavel Cheben,Jens H. Schmid +11 more
TL;DR: In this paper, the spectral characteristics of a ring resonator made of Si photonic wires are modeled using mode expansion of supermodes of the directional coupler, and the influence of the coupling coefficient, loss factor and waveguide dispersion on the spectral features are analyzed in detail.
Journal ArticleDOI
Resonant frequency shift characteristic of integrated optical ring resonators with tunable couplers
TL;DR: In this article, the resonant frequency shift characteristic of tunable resonators is theoretically analyzed, and it is shown that the frequency shift range is dependent on the configurations and tuning methods of couplers.
Book ChapterDOI
Circular Integrated Optical Microresonators: Analytical Methods and Computational Aspects
TL;DR: In this article, an ab initio frequency domain model of circular micro-resonators, built on the physical notions that commonly enter the description of the resonator functioning in terms of interaction between fields in the circular cavity with the modes supported by the straight bus waveguides, is discussed.
References
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TL;DR: A simple and effective method for the postfabrication trimming of optical microresonators by photobleach CLD-1 chromophores to tune the resonance wavelengths of polymer microring resonator optical notch filters.
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Modeling of circular integrated optical microresonators by 2-D frequency domain coupled mode theory
TL;DR: In this paper, a two-dimensional frequency domain model for circular integrated optical (ring or disk) micro-resonators based on spatial coupled mode theory is proposed. But the spectral response and field examples for the micro-reonators with mono-and multi-modal cavities for TE and TM polarizations are presented.
Proceedings ArticleDOI
Analytical Approaches to the Description of Optical Microresonator Devices
TL;DR: In this paper, a survey of bend mode properties and a coupler description in terms of coupled mode theory is presented for optical ring resonators with square or rectangular cavity shapes, in contrast to the traveling waves found in the microrings.