Analysis and Design of the Dielectric Resonators Using Differential Transfer Matrix Method (DTMM) in the Cylindrical Coordinate

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Jalaly, Sadegh | 2011

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 42588 (05)
University: Sharif University of Technology
Department: Electrical Engineering
Advisor(s): Mehrany, Khashayar
Abstract:
Ring and disk resonator are studied in this thesis. First, the complex resonance frequencies of two-dimensional homogeneous ring and disk resonators are extracted by following the standard approach and then a novel method is proposed to extract the complex eigen-frequencies of two-dimensional inhomogeneous ring and disk resonators. The inhomogeneity of the refractive index is arbitrary along the radial direction. The proposed method is shown to be more efficient than the standard approach based on the stair-case approximation. It is therefore appropriate for resonator design and is thus employed for systematic study of the opposing trends of geometrical parameters in maximization of microring resonator quality factor. In particular, the role of introducing radial inhomogeneity is investigated. The obtained results are always justified by being compared against the numerical results. The effective refractive index method is finally applied to extract the complex eigen-frequencies of the more realistic three-dimensional resonators
Keywords:
Differential Transfer Matrix Method ; Disk Resonator ; Ring Resonator ; Effective Refractive Method

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