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Determining the refractive index of human hemoglobin solutions by Kramers–Kronig relations with an improved absorption model

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Abstract

The real part of the refractive index of aqueous solutions of human hemoglobin is computed from their absorption spectra in the wavelength range 250–1100 nm using the Kramers–Kronig (KK) relations, and the corresponding uncertainty analysis is provided. The strong ultraviolet (UV) and infrared absorbance of the water outside this spectral range were taken into account in a previous study employing KK relations. We improve these results by including the concentration dependence of the water absorbance as well as by modeling the deep UV absorbance of hemoglobin’s peptide backbone. The two free parameters of the model for the deep UV absorbance are fixed by a global fit.

© 2016 Optical Society of America

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Supplementary Material (5)

NameDescription
Data File 1: CSV (54 KB)      Increment of refractive index of oxygenated hemoglobin solutions from Kramers-Kronig relations.
Data File 2: CSV (9194 KB)      Covariance matrix of increment of refractive index of oxygenated hemoglobin solutions from Kramers-Kronig relations.
Data File 3: CSV (54 KB)      Increment of refractive index of deoxygenated hemoglobin solutions from Kramers-Kronig relations.
Data File 4: CSV (9194 KB)      Covariance matrix of increment of refractive index of deoxygenated hemoglobin solutions from Kramers-Kronig relations.
Data File 5: CSV (55 KB)      Wavelength-derivative of increment of refractive index of oxygenated and deoxygenated hemoglobin solutions from Kramers-Kronig relations.

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Equations (68)

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