中文摘要：

在这份报纸，我们调查极端弱变化明确的表达的使用解决在近的地光学散布问题的一个波浪。以便捕获波浪的亚规模特征，我们和飞机波浪功能利用迅速凋落的波浪功能接近这块地的本地性质。我们分析全球集中并且给方法的一个错误评价。数字例子也被举表明策略的有效性。[从作者抽象]

英文摘要：

In this paper, we investigate the use of ultra weak variational formulation to solve a wave scattering problem in near field optics. In order to capture the sub-scale features of waves, we utilize evanescent wave functions together with plane wave functions to approximate the local properties of the field. We analyze the global convergence and give an error estimation of the method. Numerical examples are also presented to demonstrate the effectiveness of the strategy.