MUSIC ALGORITHM FOR LOCATING POINT-LIKE SCATTERERS CONTAINED IN A SAMPLE ON FLAT SUBSTRATE

In this paper, we consider a MUSIC algorithm for locating point-like scatterers contained in a sample on flat substrate. Based on an asymptotic expansion of the scattering amplitude proposed by Ammari et al., the reconstruction problem can be reduced to a calculation of Green function corresponding to the background medium. In addition, we use an explicit formulation of Green function in the MUSIC algorithm to simplify the calculation when the cross-section of sample is a half-disc. Numerical experiments are included to demonstrate the feasibility of this method.     

半平面中使用近场数据的物体形状重构

考虑一个近似模拟近场光学显微镜成像过程的数学问题. 假设被观测的样品是均匀的, 其折射率为正常数. 取一个单频的线源作为入射场照明样品, 利用在样品附近收集的散射场数据重构样品的形状. 通过混合互易原理将原问题转化并利用因子分解法来解决此问题. 一些数值例子表明了此方法的可行性.