臺灣博碩士論文加值系統

使用相對論電子束來產生高功率微波的技術，對於在高功率微波雷達、迴旋共振加速電漿融合反應器以及基本物理的粒子加速研究等等之應用上有很大的發揮。
在眾多的微波元件中，電子迴旋管已成為近代微波源較佳的選擇，其中磁旋管為最廣泛應用的元件之一。而一般的電子迴旋管操作在基本模態下，要獲得較高頻率微波時，需要有相當高的外加磁場。後來有學者在磁旋管的操作上做了改變，提出所謂的Peniotron，它能以較低的外加磁場來激發出高功率高效率的高階諧波。
在愈高階的諧波模態下，因為電磁場愈集中在導波管壁以及有更高程度的模態競爭，所以在較高階模態的操作效率將大大的降低。為了克服這個問題，可以使用高能迴旋電子束來增大電子的有限 Larmour 半徑，以使之與較高模態場的交互作用更有效率。其中有效且可行的方法是使用一種為 cusp-field結構的磁場，所產生的軸繞旋轉電子束之系統。此外，我們利用能提昇高階模態成份的多葉片圓柱形導波管結構來改善迴旋電子與高階諧波模態的交互作用。
於本論文中，我們討論N個槽的多葉片圓柱形導波管結構，分別操作在Gyrotron與Peniotron中，TE、TM兩者模態之計算。藉由數值方法分析在 模態時，葉片數N = 8、10、12、16、24與在 模態時，葉片數N = 16、20、24、32、48之操作，找出其最佳參數值。

The technology to produce high-power microwave by using the theory of the relativistic electrons spans a wide range of application to high-power microwave radar system, cyclotron resonance heating of plasma for fusion reactor, acceleration for basic research, etc.
In many microwave devices, electron cyclotron tube has become the choice for microwave source over the years. And the Gyrotron is applied widely .When they are operated at the fundamental mode, a rather highly applied magnetic field is required at high frequency. Later scholars make some changes about operating the Gyrotron and named it Peniotron. It can produce higher harmonics with high power and high efficiency while enabling the lowering of the required magnetic field.
At higher harmonic, because of the increasing concentration of the mode fields near the wave-guide wall and larger degree of mode competition, the operation efficiency at higher order modes lowers significantly. To overcome this problem, we may use high energy cyclotron electron beam to expand the electron Larmour radius so that the interaction with the higher mode fields can be optimized. A more effective means can be implemented by using an axis encircling electron beam generated by injecting electron beam in a cusp-magnetic field. Then we use multivane cylindrical waveguide structure which can promote higher harmonic to improve the interaction between cyclotron electron beam and higher harmonics.
In this work, we have discussed an N-slotted multivane cylindrical wave-guide structure working in Gyrotron and Peniotron , and compute the modes of TE and TM. We have numerically computed the optimized parameters for number of vanes N = 8、10、12、16、24 at mode and for number of vanes N = 16、20、24、32、48 at mode operations.

目 錄
第一章 緒論…….……...……………………………1
1-1 簡介…...……………………………………………….…...1
1-2 文獻回顧…...…………………………….………………...1
1-3 研究動機與目的…...………………………………………5
1-4 論文結構…..………………………………………….……6
第二章 理論分析……………………………………..7
2-1 群聚效應……...……………………………………………7
2-2 相對論電子束與負質量不穩定…...………….….………..8
第三章 公式推導……...………………...…………..12
3-1 基本方程式………………………………………………12
3-1.1 TE mode…...………………………………………...14
3-1.2 TM mode…………………………………………….21
3-2 散射關係式與能量密度比……………………………..26
3-2.1 散射關係式…………………………………………26
3-2.2 能量密度比………………………………………....29
第四章 數值分析與討論…………………………..33
4-1 前言……………………………………………………….33
4-2 2 模態與 模態…………………..……………………..34
4-3 結構分析……………………………………………….…35
4-3.1 Gyrotron……………………………………..………35
4-3.2 Penioitron..……………………………..……….….39
第五章 結論.………………………………………79
參考文獻…..……………………………………….….80

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