物理学报Issue(11)：255-261,7.DOI:10.7498/aps.62.114203
一种基于角谱理论的改进型相位恢复迭代算法*
An ameliorated fast phase retrieval iterative algorithm based on the angular spectrum theory*
摘要
Abstract
For designing the light beam shaper in the optical transmitting antenna in inter-satellite optical communication system, the essen-tial problem is, according to the input optical field and ideal output light field, to determine the shaper of phase distribution, in which its core is in phase recovery. Based on the traditional Gerchberg-Saxton (G-S) iterative algorithm, using the angular spectrum propagation theory, a kind of amplitude gradient addition iterative algorithm is proposed, and the detailed algorithm process and analysis are given. Compared with G-S algorithm, the new one using iterative process, constructs the light field amplitude feedback loop, and searches out the optimal iteration path using the gradient;their joint action accelerates the convergence process. Numerical simulation shows that the iterative error-drop speed caused by unit iterations in the new algorithm is 1.7 times that of the G-S algorithm, its convergence rate is obviously superior to the G-S algorithm;for different random initial phase, the new algorithm can effectively carry out iteration, show the advantages of the strong adaptability and the good convergent consistency. Amplitude gradient addition iterative algorithm gives a new effective way of recovering the complex optical field phase, and provides technical support for designing all kinds of diffraction optical element.关键词
相位恢复/迭代算法/角谱理论/光通信Key words
phase retrieval/iterative algorithm/angular spectrum theory/optical communication引用本文复制引用
刘宏展†,纪越峰..一种基于角谱理论的改进型相位恢复迭代算法*[J].物理学报,2013,(11):255-261,7.基金项目
国家自然科学基金(批准号:11204203,11275118)资助的课题. （批准号:11204203,11275118）
@@@@*Project supported by the National Natural Science Foundation of China (Grant Nos.11204203,11275118) （Grant Nos.11204203,11275118）
