金屬週期結構之磁化表面電漿研究

Abstract

表面電漿受外加磁場的作用之後，稱為磁化表面電漿，而磁化表面電漿的行為會比原來未受到外加磁場作用的表面電漿要複雜許多。在本論文中，我們探討磁化表面電漿在週期結構底下的物理現象；在一個由金屬及介電體所組成的週期結構下，我們假設波傳方向與介面平行，對系統施加一外加磁場與介面平行，但是與波傳方向垂直，稱為Voigt組態；我們從馬克斯威爾方程式出發，利用解析的方法求得磁場分佈的通解進而得到磁化表面電漿的色散關係式，並在非延遲效應（nonretarded limit）的假設下，求得兩個模態的漸近頻率，這兩個模態的漸近頻率會因為外加磁場的作用下而有所差異，而這個差異剛好等於外加磁場作用下所引起的電子迴旋頻率，而外加磁場同時也會破壞模態的對稱性。

Magnetoplasmons, applied static magnetic field on the surface plasmons, are more complicated than surface plasmons that didn’t affect by the static magnetic field. In this article, we study the magnetoplasmons modes in the infinite periodic structure co- mposed of alternating metal and dielectric layers. The magnetic field is applied parall- el to the interfaces and we consider propagation perpendicular to the applied field (Voigt configuration). The exact dispersion relation has been derived by analytic method on the basic of local theory. The analytic solutions for the asymptotic frequencys（ ） has been found in the nonretarted limit. The surface plasmon splitting in dispersion under the magnetic field. The symmetry of the modes are broken by applying magnetic field.