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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 邱奕鵬 | |
| dc.contributor.author | Nai-Yuan Shih | en |
| dc.contributor.author | 施乃元 | zh_TW |
| dc.date.accessioned | 2021-06-13T02:23:24Z | - |
| dc.date.available | 2007-02-01 | |
| dc.date.copyright | 2007-02-01 | |
| dc.date.issued | 2007 | |
| dc.date.submitted | 2007-01-30 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/30972 | - |
| dc.description.abstract | 傳統的頻域演算法或多或少存在有收斂性和效率方面的問題;
為了克服這些困擾, 本篇論文提出一種稱為多區域假譜頻域法的替代方案。 其優越的 '譜準度' 特性大大降低了對於離散化密度的要求, 而多區域法能夠良好地接合不同的材料。透過一些實際範例的實作, 這種方法用於光電結構模擬與設計的實用性及潛力得到了驗證。 | zh_TW |
| dc.description.abstract | Conventional frequency-domain algorithms suffer more or less from
convergence and efficiency problems; to overcome these headaches, an alternative called the multidomain pseudospectral frequency-domain method is presented in this thesis. The superior 'spectral accuracy' greatly reduces the requirement for discretization density for smooth functions, and the multidomain approach patches distinct materials together properly. Via implementation of some practical examples, the utility and potential of the method for modeling and design of photonic structures are verified. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T02:23:24Z (GMT). No. of bitstreams: 1 ntu-96-R92941036-1.pdf: 2112219 bytes, checksum: b35c1caaad69150efdee356a277290e9 (MD5) Previous issue date: 2007 | en |
| dc.description.tableofcontents | 1 Introduction 7
2 Theory 13 2.1 The Fourier System [5] . . . . . . . . . . . . . . . . . . . . . . ..14 2.1.1 The Continuous Fourier Expansion . . . . . . . . . . . . . . . . . . . . 14 2.1.2 The Discrete Fourier Expansion . . . . . . . . . . . . . . . . . . . . 21 2.1.3 Differentiation . . . . . . . . . . . . . . 25 2.2 Orthogonal Polynomials in (−1, 1) [5] . . . . . . . . . . . . . . . . . . . . . . . 29 2.2.1 Sturm-Liouville Problems . . . . . . . . . . . . . . . . . . . ..29 2.2.2 Orthogonal Systems of Polynomials . . . . . 30 2.2.3 Gauss-Type Quadratures and Discrete Polynomial Transforms 32 2.3 Chebyshev Polynomials [5] . . . . . . . . . . . . . . . . . . . . . . . 36 2.3.1 Basic Formulas . . . . . . . . . . . . . . . . . . . . .36 2.3.2 Differentiation . . . . . . . . . . . . . . 39 2.4 The Multidomain Pseudospectral Frequency-domain (PSFD) Method 42 2.4.1 Source-free Wave Equations . . . . . . . . . . . . . . . . . . . . 42 2.4.2 The Multidomain Approach . . . . . . . . . . . . . . . . . . . . 44 3 Numerical Examples and Results 49 3.1 Laser Facet . . . . . . . . . . . . .. . . . . . . . . .50 3.2 Convergence for Grating Modeling . . . . . . . . . . . . . . . . . . . . .56 3.3 Metallic Gratings as Color Filters . . . . . . . . . . . . . . . . . . . ... 61 3.4 Rectangular Channel Waveguide End . . . . . . . . . . . . . . . . . .. . .. . . 94 4 Conclusion 99 A Hilbert and Banach Spaces 100 B Functions of Bounded Variation and the Riemann(-Stieltjes) Integral 104 C The Lebesgue Integral and Lp-spaces 107 References 111 | |
| dc.language.iso | en | |
| dc.title | 多區域假譜頻域法及其在光電結構模擬上之應用 | zh_TW |
| dc.title | The Multidomain Pseudospectral Frequency-domain Method and Its Application in Modeling of Photonic Structures | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 95-1 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 江衍偉,王子建 | |
| dc.subject.keyword | 假譜,頻域,多區域,光柵,色光濾波器, | zh_TW |
| dc.subject.keyword | pseudospectral,frequency-domain,multidomain,grating,color filter, | en |
| dc.relation.page | 117 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2007-01-30 | |
| dc.contributor.author-college | 電機資訊學院 | zh_TW |
| dc.contributor.author-dept | 光電工程學研究所 | zh_TW |
| 顯示於系所單位： | 光電工程學研究所 | |
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