在均勻電場之下之介電質圓錐之電場行為

The electric field behavior of the dielectric cone under the influence of the uniform electric fields

馮思賢(Szuhsien Feng)

指導教授 ： 朱國瑞

國立臺灣大學/理學院/物理學研究所/碩士(2019年)

https://doi.org/10.6342/NTU201902991

摘要

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。

關鍵字

介電質圓錐 ； 發散電場 ； 極化電荷間之競爭關係

並列摘要

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.

並列關鍵字

Dielectric cone ； Singular electric field ； Competition between polarized charges

參考文獻

[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