Acta Optica Sinica, Volume. 31, Issue 10, 1001002(2011)
Phase Retrieval Using Eigenfunctions to Solve Transport-of- Intensity Equation
An algorithm based on eigenfunctions was proposed for phase retrieval by solving transport-of-intensity equation. The phase could be expanded as a series of Laplacian′s eigenfunctions, and the coefficients of eigenfunction could be obtained by the integral of eigenfunction and intensity derivative along the optical axis, then the phase was reconstructed. The analytic expressions of Laplacian′s eigenfunctions on unit circle and rectangular domain were achieved. Phase retrieval by eigenfunctions on both domains was simulated, and an accurate reconstruction result could be obtained by the algorithm.
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Huang Shengyang, Xi Fengjie, Liu Changhai, Jiang Zongfu. Phase Retrieval Using Eigenfunctions to Solve Transport-of- Intensity Equation[J]. Acta Optica Sinica, 2011, 31(10): 1001002
Category: Atmospheric Optics and Oceanic Optics
Received: Apr. 15, 2011
Accepted: --
Published Online: Sep. 29, 2011
The Author Email: Shengyang Huang (syhuang2008@yahoo.com.cn)