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Analysis of Localized Modes in Photonic Crystal by the Curie Symmetry Principle : 큐리 대칭성 원리를 이용한 광결정에서의 국지화된 모드 연구
DC Field | Value | Language |
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dc.contributor.advisor | 제원호 | - |
dc.contributor.author | 박쥴리 | - |
dc.date.accessioned | 2017-07-19T09:11:32Z | - |
dc.date.available | 2017-07-19T09:11:32Z | - |
dc.date.issued | 2015-08 | - |
dc.identifier.other | 000000053412 | - |
dc.identifier.uri | https://hdl.handle.net/10371/131635 | - |
dc.description | 학위논문 (석사)-- 서울대학교 대학원 : 물리·천문학부, 2015. 8. 제원호. | - |
dc.description.abstract | Localized defect region within two-dimensional photonic crystal waveg-uides is an important element for photonic crystal (PC) applications. Especially, nano- or micro-cavity resonators is one of importantly used components in PC-based devices. In this thesis, it is suggested that the investigation of physical processes in photonic crystal resonances in the phenomenological approach is connected with the symmetrical aspect of the causality principle. In particular, the symmetrical aspect of PC structure itself and the applying ?eld both are critical factors for resonant mode analysis. With the use of the Curie symmetry principle, a simple intuitive method to determine the appearing resonant modes within PCs is proposed. Comparison to numerical simulations demonstrates the power of this modest analysis in determining the critical symmetry condition for the selection of localized defect states within photonic crystals. | - |
dc.description.tableofcontents | Abstract i
List of Figures iv Chapter 1 Introduction . . . 1 1.1 Organization . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Symmetries in Physics . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Introduction to Photonic Crystals . . . . . . . . . . . . . . . . . 5 1.4 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Chapter 2 Designing Photonic Crystals and Numerical Methods 12 2.1 Optical Properties of Matter . . . . . . . . . . . . . . . . . . . . 12 2.2 Derivation of Electric and Magnetic Field Master Equations . . 17 2.3 Photonic Band Gap . . . . . . . . . . . . . . . . . . . . . . . . . 19 2.4 Plane-Wave Expansion Method and Photonic Band Diagrams . 21 2.5 Finite-Dierential Time-Domain Method . . . . . . . . . . . . . 26 Chapter 3 Group Theory in Photonic Crystals . . . 32 3.1 Localized Defect Modes: Point Groups . . . . . . . . . . . . . . 32 3.2 FDTD Results of Localized Modes . . . . . . . . . . . . . . . . 38 Chapter 4 The Curie Symmetry Principle . . . 43 4.1 Symmetry Arguments . . . . . . . . . . . . . . . . . . . . . . . 43 4.2 Application of the Curie Symmetry Principle . . . . . . . . . . . 45 4.3 Analysis of Localized Modes Based on the Curie Symmetry Prin- ciple . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 4.3.1 Hexagonal lattice . . . . . . . . . . . . . . . . . . . . . . 51 4.3.2 Square lattice . . . . . . . . . . . . . . . . . . . . . . . . 55 Chapter 5 Conclusions 60 Appendix A Nonlinear Photonic Crystals . . . 63 A.1 Employment of Photonic Crystal Waveguide . . . . . . . . . . . 63 A.2 Nonlinear Kerr Eects . . . . . . . . . . . . . . . . . . . . . . . 66 A.3 TE-TM Coupling . . . . . . . . . . . . . . . . . . . . . . . . . . 69 초록 72 | - |
dc.format | application/pdf | - |
dc.format.extent | 4990241 bytes | - |
dc.format.medium | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | 서울대학교 대학원 | - |
dc.subject | Photonic crystal | - |
dc.subject | localized modes | - |
dc.subject | Curie symmetry principle | - |
dc.subject.ddc | 523 | - |
dc.title | Analysis of Localized Modes in Photonic Crystal by the Curie Symmetry Principle | - |
dc.title.alternative | 큐리 대칭성 원리를 이용한 광결정에서의 국지화된 모드 연구 | - |
dc.type | Thesis | - |
dc.contributor.AlternativeAuthor | Julie Park | - |
dc.description.degree | Master | - |
dc.citation.pages | 72 | - |
dc.contributor.affiliation | 자연과학대학 물리·천문학부 | - |
dc.date.awarded | 2015-08 | - |
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