2015
DOI: 10.1364/josaa.32.001437
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Precision of polarization-resolved second harmonic generation microscopy limited by photon noise for samples with cylindrical symmetry

Abstract: The estimation of parameters in polarization-resolved two-photon microscopy response perturbed by photon noise is analyzed in the context of second harmonic generation for the distribution of molecules presenting cylindrical symmetry. The estimation task is investigated using the Cramer-Rao lower bound for Poisson photon noise. It is shown that a noniterative technique can lead to estimation results that have good efficiencies for most of the physical possible values of the sample parameters for sufficiently h… Show more

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Cited by 4 publications
(3 citation statements)
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“…P-SHG orientation maps are thus reliable up to approximately 2/3 of the cornea thickness and their effective precision is around 4°, considering that the measure uncertainty is similar for OrientationJ and P-SHG and using error propagation. This effective precision is much larger than the one usually claimed for P-SHG data that is assessed from theoretical analysis or provided by fitting or FFT codes 29,30 . It indeed takes into account all experimental uncertainty sources in thick tissues, including the tissue optical heterogeneity that induces wavefront deformation, focal volume deterioration, and ellipticity increase even at moderate depth.…”
Section: Validity Of Collagen Orientation Measurements In Depthmentioning
confidence: 83%
See 1 more Smart Citation
“…P-SHG orientation maps are thus reliable up to approximately 2/3 of the cornea thickness and their effective precision is around 4°, considering that the measure uncertainty is similar for OrientationJ and P-SHG and using error propagation. This effective precision is much larger than the one usually claimed for P-SHG data that is assessed from theoretical analysis or provided by fitting or FFT codes 29,30 . It indeed takes into account all experimental uncertainty sources in thick tissues, including the tissue optical heterogeneity that induces wavefront deformation, focal volume deterioration, and ellipticity increase even at moderate depth.…”
Section: Validity Of Collagen Orientation Measurements In Depthmentioning
confidence: 83%
“…We thus use an FFT algorithm to process our data and determine the orientation φ in every pixel (see Supplementary material). The theoretical angular precision is about 1° after the application of a 6 × 6 averaging filter to increase the signal-to-noise ratio 29 , 30 . Our data-processing workflow also provides 21 : (i) the SHG signal averaged over all linear polarizations: ; (ii) a coefficient of determination R 2 that compares the experimental data and the curve obtained from the FFT parameters in every pixel, in order to validate the orientation measure (Fig.…”
Section: Methodsmentioning
confidence: 99%
“…In our case, due to the fact that a sample-based analysis has been followed, the precision of <B> and <f c > is determined as the SD of the corresponding values resulting from all the image pixels. It is worth to be mentioned that, recent studies present an alternative, new method where the precision of the calculated B and f c values can be estimated for each pixel [29,30].…”
Section: Pshg Data Analysismentioning
confidence: 99%