近远场变换中的模糊相位恢复与远场重建

本文用泛函方法探讨了仅用近场振幅数据进行了近远场变换的相位逆问题。推导出了一组非线性方程，使一曲面上场相位与此曲面及另一曲面上场振幅的关系一目了然，所建立的目标泛函属于实空间，形式简洁易于处理，减少了数据量。数值结果表明，当相位初值在解的附近时，相位能得到恢复。

Fuzzy Phase Retrieval and Far Field Reconstruction in Near and Far Field Transformation

A new method describing the relation of the fields on two closed curve surfaces by matrix is introduced. By utilizing this method ,an object functional on phase inverse problem which has been focused in recent years in near and far field transformation is created. Comparing with other functionals,this functional belongs in real space rather than complex space. Its form is very simple and it is easy to calculate the gradient of the functional.The data processing is decreased greatly. The conjugate gradient method (CGM) is taken to mininize the object functional.The numerical results show that the phase of a closed curve surface can be retrieved completely when the initial phase value points are located in the vicinity of the solution. At last,the existence of multipolar value in phase inverse problem is discussed by functional theory.