Optimum measurement criteria for the axial derivative intensity used in transport of intensity-equation-based solvers
PBN-AR
Instytucja
Wydział Mechatroniki (Politechnika Warszawska)
Informacje podstawowe
Główny język publikacji
en
Czasopismo
Optics Letters
ISSN
0146-9592
EISSN
Wydawca
OSA
DOI
Rok publikacji
2014
Numer zeszytu
2
Strony od-do
182-185
Numer tomu
39
Identyfikator DOI
Liczba arkuszy
0.5
Słowa kluczowe
en
Transport of intensity equation based solver, Poisson equation, Fourier Solver, optimal separation, axial intensity derivative, retrieved phase.
Streszczenia
Język
en
Treść
The Transport of Intensity Equation (TIE) relates linearly the phase of an object to the intensity distribution in the Fresnel region and can be used as a phase retrieval technique. The key element in the TIE based solver is the calculation of the axial intensity derivative. This parameter is calculated from a series of captured intensities but its accuracy is subject to several parameters, such as the separation between the measurement planes, the Signal to Noise Ratio (SNR) in the captured intensities, the actual object phase distribution, etc. Despite the importance of the estimation of this parameter, there is not a general discussion about how optimized the axial intensity derivative. In this work we developed the mathematical framework in which the retrieved phase can be obtained. Thus, we derived the optimal separation which minimize the error in the calculation of the axial derivative. Besides, we study by numerical methods how the accuracy of the axial derivative influence the accuracy of the retrieved phase. Hence, we present a numerical model which is able to minimized the error in the retrieved phase. It is later shown that this analysis is significant more accurate than available methods proposed in the literature. It is further shown, that the plane separation that minimizes the error in the axial intensity derivative is different to the plane separation that minimizes the error in the retrieved phase.
Inne
System-identifier
WUTb13ee7aaec1341c9b984f777973e4a4e
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