Journal
OPTICS EXPRESS
Volume 23, Issue 18, Pages 23092-23107Publisher
OPTICAL SOC AMER
DOI: 10.1364/OE.23.023092
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Funding
- Foundation for Polish Science [TEAM/2011-7/7]
- European Funds of Regional Development
- Warsaw University of Technology
- Outstanding Young Scientists Stipend Award of the Polish Ministry of Science and Higher Education [564/2014]
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Phase retrieval based on the Transport of Intensity Equation (TIE) has shown to be a powerful tool to obtain the phase of complex fields. Recently, it has been proven that the performance of TIE techniques can be improved when using unequally spaced measurement planes. In this paper, an algorithm is presented that recovers accurately the phase of a complex objects from a set of intensity measurements obtained at unequal plane separations. This technique employs multiple band-pass filters in the frequency domain of the axial derivative and uses these specific frequency bands for the calculation of the final phase. This provides highest accuracy for TIE based phase recovery giving minimal phase error for a given set of measurement planes. Moreover, because each of these band-pass filters has a distinct sensitivity to noise, a new plane selection strategy is derived that equalizes the error contribution of all frequency bands. It is shown that this new separation strategy allows controlling the final error of the retrieved phase without using a priori information of the object. This is an advantage compared to previous optimum phase retrieval techniques. In order to show the stability and robustness of this new technique, we present the numerical simulations. (C) 2015 Optical Society of America
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