博碩士論文 90623016 詳細資訊




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姓名 李光武(Jeff Lee)  查詢紙本館藏   畢業系所 太空科學研究所
論文名稱 磁流體波於電流片中傳播之研究
(MHD wave Propagation in the Plasma Current Layer)
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摘要(中) 摘要
在本篇研究中,我們探討線性的磁流體波在壓力均向但非均勻的電漿中傳播之特性。我們考慮的背景磁場結構為一維Harris-sheet電流片構造,然而我們在Harris-sheet的反平行磁場( )中,加入了另一個自由度的磁場 。在我們的模型中,磁場不均勻的方向為z方向,而波可以沿著兩個方向傳播( 與 )。本模型的不均勻性包含了:磁場的不均勻,熱壓力的不均勻,以及電漿密度的不均勻。我們導出了一個廣義的波傳播頻散關係式,並利用數值方法解出此一邊界條件的本徵值問題之特徵頻率與特徵函數解。我們討論了在不同的參數如:plasma beta,propagation angle,wave length, 分量與背景密度分佈等的設定下,其磁流體波特性之改變趨勢。
摘要(英) ABSTRACT
In this study we examine the characteristics of small-amplitude MHD waves propagating in isotropic inhomogeneous warm plasmas. The background medium considered is of one-dimensional Harris-sheet magnetic field configuration with the corresponding equilibrium thermal pressure. The model allows the waves to propagate in two directions, and , and a guided magnetic field component embedded within the anti-parallel field lines. The inhomogeneity is due to the magnetic field and plasma pressure as well as the plasma density. The dispersion relation is derived and eigen-frequencies as well as eigen-functions are calculated for various parameter values of plasma beta, propagation angle, wave length and background density profiles etc.
關鍵字(中) ★ 傳播
★ 電流片
★ 磁流體
關鍵字(英) ★ Plasma Current Layer
★ MHD wave
★ Propagation
論文目次 Contents
Chinese Abstract Ⅰ
English Abstract Ⅱ
ChapterⅠ Introduction 1
ChapterⅡ Model Equations 4
ChapterⅢ Calculations 11
Case 1: Inhomogeneous Background Plasma Density 13
Case 2: Field line resonance 13
Case 3: Constant Background Plasma Density 14
Case 4: Cavity Length Effect 14
Case 5: Plasma Beta Effect 15
Case 6: ky effect 15
Case 7: By Effect 16
Case 8: Modified Background Plasma Density 16
Case 9: Other Singularities 17
ChapterⅣ Summary 18
References 20
Figures 21-38
參考文獻 References
Cheng, C. Z., and S. Zaharia, Field line resonances in quiet and disturbed time three-dimensional magnetosphere, J. Geophys. Res., doi:10.1029/2002JA009471, in press, 2002.
Cheng, C. Z., MHD field line resonances and global modes in three-dimensional magnetic fields, J. Geophys. Res., doi:10.1029/2002JA009470, 2003.
Chen, L., and A. Hasegawa, A theory of long-period magnetic pulsations, 1, Steady state excitation of field line resonance. J. Geophys. Res., 79, 1024, 1974.
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Hopcraft, K. I., and P. R. Smith, Guided modes in the vicinity of the Earth’s geomagnetic current sheet, Phys. Lett., 113A, 75, 1985.
Jacobs, J. A., Geomagnetic Micropulsations, Springer-Verlag, New York, 1970.
Lanzerotti, L. J., and H. Fukunishi, Modes of magnetohydrodynamic waves in the magnetosphere, Rev. Geophys., 12, 724, 1974.
Lin, C. A., Observations of Pi 2 pulsations at a very low latitude (L=1.06) station and magnetospheric cavity resonances, J. Geophys. Res., 96, 21105, 1991.
Orr, D., Magnetic pulsations within the magnetosphere: A review, J. Atmos. Space Sci., 35, 1, 1973.
Song, P., C. T. Russell, R. J. Strangeway, J. R. Wygant, C. A. Cattell, R. J. Fitzenreiter, and R. P. Anderson, Wave properties near the subsolar magnetopause: Pc 3-4 energy coupling for northward interplanetary magnetic field, J. Geophys. Res., 98, 187, 1993.
Southwood, D. J., Some features of field line resonances in the magnetosphere, Planet. Space Sci., 22, 483, 1974.
Yumoto, K., Generation and propagation mechanism of low-lattitude magnetic pulsations-A review, J. Geophys. Res., 60, 79, 1986.
指導教授 郝玲妮(Hau L.-N.) 審核日期 2003-7-17
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