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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 朱國瑞 | |
dc.contributor.author | Yu-Jie Huang | en |
dc.contributor.author | 黃榆傑 | zh_TW |
dc.date.accessioned | 2021-06-16T05:19:58Z | - |
dc.date.available | 2015-08-25 | |
dc.date.copyright | 2014-08-25 | |
dc.date.issued | 2014 | |
dc.date.submitted | 2014-08-15 | |
dc.identifier.citation | [1] Applications of High Power Microwaves, edited by A. V. Gaponov-Grekhov and V. L.
Granatstein (Artech House, Norwood, MA, 1994). [2] N. Kumar, U. Singh, T. P. Singh, and A. K. Sinha, J. Fusion Energy 30, 257 (2011). [3] Q. F. Li and K. R. Chu, “Analysis of Open Resonators,” Int. J. Infrared Millimeter Waves, vol.3, no. 5, 705-723 (1982). [4] L. A. Vaynshteyn, Open Resonators and Open Waveguides, Golem Press, Boulder, Colorado (1969), Sec. 78. [5] R. J. Temkin, “Analytic theory of a tapered gyrotron resonator,” Int. J. Infrared Millimeter Waves, vol.2, no. 4, 629-650 (1981). [6] S. N. Vlasov, G. M. Zhislin, I. M. Orlova, M. I. Petelin and G. G. Rogacheva, “Irregular waveguides as open resonators,” Radiophys. and Quantum Electron. 12, no. 8, 972 (1969). [7] S. H. Kao, C. C. Chiu, and K. R. Chu , “A study of sub-terahertz and terahertz gyrotron oscillators,” Phys. Plasmas 19, 023112 (2012). [8] S. H. Kao, C. C. Chiu, P. C. Chang, K. L. Wu, and K. R. Chu, “Harmonic mode competition in a terahertz gyrotron backward-wave oscillator,” Phys. Plasmas 19, 103103 (2012). [9] I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Seventh Edition (2007), pp. 931. [10] Milton Abramowitz and Irene A. Stegun, Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables (1972), pp. 366-367. [11] G. N. Watson, A Treatise on the Theory of Bessel Functions (1966), pp. 247. [12] Robert E. Collin, Foundations for Microwave Engineering (1992), pp. 385. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/56235 | - |
dc.description.abstract | 開口式共振腔是磁旋管的作用結構,它為毫米、次毫米和太赫兹波段,提供了新的同調電磁波源。共振腔的一個開口端,是用來快速提取由高能電子束所產生的輻射能,在大多數的情況下,來自開口端的衍射損耗遠大於管壁的歐姆損耗,並且導致了低品質因子Q。在較早的研究中,對於微變截面的波導已求出了衍射Q 的解析公式,不過在這裡,另一個適用於更一般波導的公式被求出。在低階軸向模態的最低階近似下,它可化簡成先前的結果。至於較高階的軸向模態,它給出了更精準的Q,且由數個不同橫向模態的數值結果所驗證。 | zh_TW |
dc.description.abstract | Open cavities are the interaction structures for a new generation of coherent millimeter, sub-millimeter, and terahertz radiation sources called the gyrotron. One of the open ends of the cavity is intended for rapid extraction of the radiation generated by a powerful electron beam. In the majority of cases, the diffraction loss from this open end dominates over the Ohmic losses on the walls and it results in a low quality factor Q. In earlier studies, an analytical expression of the diffraction Q was derived for weakly irregular waveguide. However, here another expression valid for a more general waveguide is derived. It reduces to previous one in the lowest order expansion of low-order axial mode. And for higher-order axial mode, it gives more precise Q, verified by numerical examples for various transverse modes. | en |
dc.description.provenance | Made available in DSpace on 2021-06-16T05:19:58Z (GMT). No. of bitstreams: 1 ntu-103-R01222051-1.pdf: 445075 bytes, checksum: 888a1d531ced8320ffb4cad132ccd27c (MD5) Previous issue date: 2014 | en |
dc.description.tableofcontents | 誌謝i
中文摘要ii Abstract iii 1 Introduction 1 1.1 Application of open cavities - gyrotron . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Theory about the field equation . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.3 Theory about the quality factor . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.4 Scaling law for the weakly irregular waveguides . . . . . . . . . . . . . . . . . 3 1.5 Purpose of current work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2 Exact solution for the reflection coefficient 6 2.1 Field solution in the tapered section . . . . . . . . . . . . . . . . . . . . . . . 6 2.2 Exact solution for the reflection coefficient . . . . . . . . . . . . . . . . . . . 7 3 Assumptions and simplifications 9 3.1 Assumption of small tapered angle . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2 Assumption of the wall radius . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3.3 Assumption of low-order axial mode . . . . . . . . . . . . . . . . . . . . . . . 13 4 Results of the analytic quality factor 16 4.1 Final expression of the quality factor . . . . . . . . . . . . . . . . . . . . . . . 16 4.2 Similarities in the conditions between the two analytic work . . . . . . . . . . 18 4.3 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Bibliography 20 A Deriving reflection coefficient by continuity condition 22 B Approximation from Debye expansion 24 C Another approach from Riccati equation 26 C.1 The differential equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 C.2 The boundary conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 C.3 Solution in the series form . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 C.4 The exponential expression . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 | |
dc.language.iso | zh-TW | |
dc.title | 開口式共振腔之衍射品質因子之解析研究 | zh_TW |
dc.title | An Analytical Study on the Diffraction Quality Factor of an Open Cavity | en |
dc.type | Thesis | |
dc.date.schoolyear | 102-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 陳仕宏,陳寬任,張存續 | |
dc.subject.keyword | 開口式共振腔,磁旋管,品質因子,縮尺法則,黎卡提方程, | zh_TW |
dc.subject.keyword | open cavities,gyrotrons,quality factor,scaling law,Riccati equation, | en |
dc.relation.page | 31 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2014-08-16 | |
dc.contributor.author-college | 理學院 | zh_TW |
dc.contributor.author-dept | 物理研究所 | zh_TW |
顯示於系所單位: | 物理學系 |
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