A study on band structure of Chiral medium

• Main Authors: Yi-HongWang, 王益宏
• Other Authors: Yu-Chen Shu
• Format: Others
• Language: en_US
• Published: 2015
• Online Access: http://ndltd.ncl.edu.tw/handle/84556616424936136792

碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 103 === In this thesis, we discuss the first and second band of chiral medium and derivate the interface conditions for obtaining electromagnetic plane wave solutions. Owing to the complicated determinant of coefficient matrix, we cannot obtain the explicit relation of frequency and wavenumber of chiral medium directly. Thus we propose the numerical method to overcome this difficulty. Furthermore, we apply finite difference method to solve the eigenvalue problem and substitute the frequency into the determinant of coefficient matrix. And we investigate the rate of convergences. From the numerical results, we obtain the second-order convergences of the first and second band. Besides, we discover forth-order convergences when wavenumber of z component is equal to zero.