New boundary-element method for computer-aided design of near-field optical circuits

本文提出了一种基于边界积分方程的边界元法，即导模提取积分方程（GMEIE），用于近场光路的精确模拟。以二维光子扫描隧道显微镜（PSTM）和光学机械手为例，导出了边界积分方程，并采用新的边界元法进行了数值求解。本课题考虑了水下扫描隧道显微镜的采集模式和照明模式。模拟了扫描的1D输出图像。数值结果可以用各种普遍规律来验证。例如，能量守恒、光学定理和互易性。本课题的研究结果很好地满足了上述规律。结果表明，我们可以了解各种有趣的近场光学操纵器和PSTM的计算机模拟进行的新方法。

New boundary-element method based on boundary integral equations which are called guided-mode extracted integral equations (GMEIE's) has been derived for the accurate simulator of near field optical circuits. As concrete examples, boundary integral equations are derived for two-dimensional Photon Scanning Tunneling Microscope (PSTM) and optical manipulator and they are solved numerically by the new boundary-element method. The collection-mode and illumination-mode of PSTM are considered in this project. The scanning 1D output images are simulated. The numerical results can be verified by various universal laws i. e., energy conservation, optical theorem and reciprocity. The results obtained in this project satisfies above laws well. It is shown that we can know various interesting properties of near-field optical manipulator and PSTM by the computer simulation performed by our new method.