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

陈章友; 徐鹏根

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

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- Fuzzy Phase Retrieval and Far Field Reconstruction in Near and Far Field Transformation
- Acta Electronica Sinica Issue 9, (1996)
- 作者机构：
  
  武汉大学电子信息学学院无线电物理学系
- 作者简介：
- 基金信息：
- DOI：
  CLC： O441
- Published：1996
- 稿件说明：
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[1]陈章友,徐鹏根.近远场变换中的模糊相位恢复与远场重建[J].电子学报,1996(09):112-115.

陈章友, 徐鹏根. Fuzzy Phase Retrieval and Far Field Reconstruction in Near and Far Field Transformation[J]. Acta Electronica Sinica, 1996, (9).
[1]陈章友,徐鹏根.近远场变换中的模糊相位恢复与远场重建[J].电子学报,1996(09):112-115. DOI：

陈章友, 徐鹏根. Fuzzy Phase Retrieval and Far Field Reconstruction in Near and Far Field Transformation[J]. Acta Electronica Sinica, 1996, (9). DOI：

摘要

本文用泛函方法探讨了仅用近场振幅数据进行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，两个典型问题检验了理论及算法的可行性与正确性，最后，用泛函理论深入论述了相位逆问题存在多极值问题。

Abstract

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.

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