壓電晶體之電磁輻射研究

The research for the electromagnetic radiation from the piezoelectric crystals

高育暐(Yu-Wei Kao)

指導教授 ： 周元昉

國立臺灣大學/工學院/機械工程學研究所/碩士(2008年)

https://doi.org/10.6342/NTU.2008.00070

摘要

本論文考慮下半無窮域為壓電晶格與半無窮域真空所形成的介面，利用一入射自壓電晶格的平面波遇到此介面，其五個反射回壓電半無窮域內的波與兩個折射出真空的電磁波，由於這八個波在介面上須同時滿足電磁及機械的邊界條件，而求出各個波的權重，進而求出各個波所帶的玻印廷向量，玻印廷向量代表的意義即每個平面波於空間中傳遞單位時間通內過單位面積下所帶的能量，利用此能量流表示出本文所欲討論從壓電材料輻射出的電磁波能量。

關鍵字

半無窮域 ； 壓電晶格 ； 玻印廷向量 ； 電磁波

並列摘要

The article discussed the interface formed by the piezoelectric crystal and the vacuum. Considering the plane wave incident from the piezoelectric half space, five plane waves reflected back toward the piezoelectric media and two electromagnetic wave transmitted to the vacuum. Because these eight plane waves need to satisfy the electromagnetic and mechanical boundary simultaneous, we solved the weighting of each wave, then getting the pointing vector of each wave. The pointing vector stands for the energy carried by the plane wave per unit area per unit time. We express the electromagnetic energy radiated from the piezoelectric material by this energy flow discussed in this article.

並列關鍵字

half space ； piezoelectric crystal ； poynting vector ； electromagnetic wave

參考文獻

[1] Z.Zhang and H.J. Caulfield , “Reflecion and refraction by interfaces of uniaxial crystals ,” Optics & Laser Technology , Vol.28 ,No., pp.549-553 ,1996

[2] A.Chattopadhyyay and S.Saha , “ Reflection and refraction of P waves at the interface of two monoclinic media,”Int.J.Engng Sci. Vol.34 ,No.11 ,pp. 1271-1284 ,1996

[3] A.Chattopadhyay ,“Wave reflection and refraction in triclinic crystalline media,”Archive of Applied Mechanics 73 ,568-579 ,2004

[4] A.Chattopadhyay ,“Wave reflection in triclinic crystalline medium,”Arch Appl Mach 76:65-74 ,2006

[5] Amares Chattopadhyay ,“Reflection for three-dimensional plane waves in triclinic crystalline medium,”Applied Mathematics and Mechanics （English Edition）,2007 ,28（10）:1309-1318