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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/74261完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 朱國瑞 | |
| dc.contributor.author | Szuhsien Feng | en |
| dc.contributor.author | 馮思賢 | zh_TW |
| dc.date.accessioned | 2021-06-17T08:26:49Z | - |
| dc.date.available | 2019-08-20 | |
| dc.date.copyright | 2019-08-20 | |
| dc.date.issued | 2019 | |
| dc.date.submitted | 2019-08-13 | |
| dc.identifier.citation | [1] J. van Bladel, “Field singularities at the tip of a dielectric cone”, IEEE Trans. Antennas
and Propagation, 33 (1985), pp. 893–895. [2] J. B. Andersen, and V.V. Solodukhov, “Field behavior near a dielectric wedge”, IEEE Trans. Antennas Propagat., vol. AP-26, pp. 598-602, July 1978. [3] J. Van Bladel, Singular electromagnetic fields and sources. Wiley-IEEE Press, 1991 [4] C.A. Liondas, and D.P. Chrissoulidis, “Two-interval Sturm-Liouville theory for the electrostatic potential of a point charge near a dielectric cone”, SIAM J. Appl. Math., vol. 70, no. 7, pp. 2329-2352, 2010. [5] Lagarkov, A. ,et al, “Light localization and SERS in tip-shaped silicon metasurface”, Opt. Express 2017, 25, 17021−17038. [6] J. D. Jackson, Classical electrodynamics. John Wiley Sons, INC., 3rd ed, 1999 [7] D. J. Griffiths, Introduction to electrodynamics. Cambridge University Press, INC., 4th ed, 2013 [8] I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 5th ed., Academic Press, New York, 1996. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/74261 | - |
| dc.description.abstract | 當在處理介電材質時，塊材往往容易因為表面不平滑而產生尖點。在模擬實驗中發現這種尖點能夠產生發散電場。為了研究這件事情，我們引進了在介電材質圓錐底下時的格林函數並套用到均勻帶電板試圖去模擬外加均勻電場。在解釋發散電場時，我們必須考慮到極化電荷間的競爭關係。由於電磁波和聲波的數學公式相同，相信這個研究也能對於聲學產生幫助。 | zh_TW |
| dc.description.abstract | While dealing with the dielectric, it is usually to see the sharp tip for the non-smooth surface of the material. Numerical experiment shows that the singularity of field will be generated. To investigate, we introduce the Green function for the dielectric cone and apply to the uniformly charged slab to simulate the constant external electric field. To account for the singularity, the competition between polarized charges is needed to consider. Also, owing to the same mathematical structure for electromagnetic waves and sound waves, it may do a favor to the acoustics. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-17T08:26:49Z (GMT). No. of bitstreams: 1 ntu-108-R05222065-1.pdf: 1955495 bytes, checksum: f6f7dbb350df793b8ce3e14d094fa099 (MD5) Previous issue date: 2019 | en |
| dc.description.tableofcontents | 摘要iii
Abstract iv 1 Introduction 1 1.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Dielectric . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Metal cone . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2 Dielectric cone 9 2.1 General solution analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.1.1 General solution . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.1.2 Orthogonality for the abstract vectors . . . . . . . . . . . . . . . 11 2.2 Green function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.3 The uniformly charged slab . . . . . . . . . . . . . . . . . . . . . . . . . 14 3 Discussion 17 3.1 Behavior near the tip . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.2 Electric field and surface charge density . . . . . . . . . . . . . . . . . . 19 3.3 Competition length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 4 Conclusion 24 A Dielectric edge 25 A.1 General solution analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 26 A.1.1 General solution . . . . . . . . . . . . . . . . . . . . . . . . . . 26 A.1.2 Orthogonality for the abstract vectors . . . . . . . . . . . . . . . 28 A.2 Green function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 A.3 The uniformly charged slab . . . . . . . . . . . . . . . . . . . . . . . . . 31 B Orthogonality of the abstract vector set 34 B.1 Spherical coordinate . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 B.2 Cylindrical coordinate . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 Bibliography 39 | |
| dc.language.iso | en | |
| dc.subject | 極化電荷間之競爭關係 | zh_TW |
| dc.subject | 介電質圓錐 | zh_TW |
| dc.subject | 發散電場 | zh_TW |
| dc.subject | Dielectric cone | en |
| dc.subject | Singular electric field | en |
| dc.subject | Competition between polarized charges | en |
| dc.title | 在均勻電場之下之介電質圓錐之電場行為 | zh_TW |
| dc.title | The electric field behavior of the dielectric cone under the influence of the uniform electric fields | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 107-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳漢穎,鄭復興,柯俊成 | |
| dc.subject.keyword | 介電質圓錐,發散電場,極化電荷間之競爭關係, | zh_TW |
| dc.subject.keyword | Dielectric cone,Singular electric field,Competition between polarized charges, | en |
| dc.relation.page | 39 | |
| dc.identifier.doi | 10.6342/NTU201902991 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2019-08-13 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理學研究所 | zh_TW |
| 顯示於系所單位： | 物理學系 | |
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