數值模擬輻射電偶極鄰近金屬奈米粒子之電磁場分佈

Abstract

過去實驗上曾觀察到發光二極體量子井中輻射電偶極與金屬奈米結構中表面電漿子的耦合現象。欲深入瞭解此耦合現象的物理機制，勢必精確計算其電磁場分佈。吾人因此開發一套可以計算多體散射問題的邊界積分方程法。為確保程式的正確性，吾人用此法計算一些具有解析解的特例，並與Mie理論計算的解析解比對。然後將此法應用在計算輻射電偶極鄰近多個金屬奈米球之電磁場分佈與散射功率頻譜。模擬結果顯示本法可用來探討電偶極與金屬奈米球間的耦合效應。

The coupling effects between the surface plasmons on metal nanostructures and the radiating dipoles in the quantum wells of a light-emitting diode have been observed. In this thesis, an accurate computation of the electromagnetic field distribution is necessary for understanding the physical mechanisms of the coupling effects. We develop a program which is based on a boundary integral equation method to solve the multiple-objects scattering problem. For testing the accuracy of our program, we make calculation for some special cases and compare the numerical results with the analytical solutions obtained by Mie theory. Then we calculate the electromagnetic field and the scatterd power of a radiating dipole near multiple metal nanospheres. Numerical results reveal that our method is useful for investigating the coupling effects between radiating dipoles and nearby metal nanospheres.