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

Gienger, Jonas; Gross, Hermann; Neukammer, J.; Bär, Markus

doi:10.1364/ao.55.008951

Cited by 41 publications

(40 citation statements)

References 23 publications

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“…An antisymmetric Lorentzian function (Bain & Preston, ),

k_{L, j} false(ν false) = \frac{B_{j}}{π} ((), \frac{Γ_{j} false/ 2}{{false(ν_{0, j} - ν false)}^{2} + {false(Γ_{j} false/ 2 false)}^{2}} - \frac{Γ_{j} false/ 2}{{false(ν_{0, j} + ν false)}^{2} + {false(Γ_{j} false/ 2 false)}^{2}}),

is used to model the contribution of each oscillator to the imaginary part of the refractive index, where the parameters of the j th oscillator are the resonant wavenumber ν 0, j , the full width at half maximum Γ j , and the constant B j . The antisymmetric Lorentzian function was chosen because (i) the imaginary part of the refractive index associated with optical transitions is well‐characterized by a Lorentzian line shape and (ii) it satisfies the symmetry requirements of the Kramers‐Kronig relations (Gienger et al, ).…”

Section: The Effective Oscillator Model For a Weakly Absorbing Aqueoumentioning

confidence: 99%

The Wavelength‐Dependent Complex Refractive Index of Hygroscopic Aerosol Particles and Other Aqueous Media: An Effective Oscillator Model

Bain

Rafferty

Preston

2019

Geophysical Research Letters

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We present an effective oscillator model for the wavelength‐dependent complex refractive index of weakly absorbing aqueous solutions. The model is derived using the causal connection between the real and imaginary parts of the refractive index that is described through the Kramers‐Kronig relation. Using cavity‐enhanced Raman spectroscopy, we measure both the real and imaginary parts of the refractive index of several aqueous solutions whose optical properties are relevant to seawater, aqueous sea‐salt particles, and aqueous organic aerosol. It is demonstrated that the effective oscillator model accurately describes both the real and imaginary parts of the refractive index of aqueous solutions across a wide range of water activities and optical wavelengths. Finally, through a comparison with measurements, we verify that mixing rule calculations utilizing oscillator parameters from solutions containing a single solute and water can be used to predict the optical properties of aqueous solutions containing multiple solutes.

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“…An antisymmetric Lorentzian function (Bain & Preston, ),

k_{L, j} false(ν false) = \frac{B_{j}}{π} ((), \frac{Γ_{j} false/ 2}{{false(ν_{0, j} - ν false)}^{2} + {false(Γ_{j} false/ 2 false)}^{2}} - \frac{Γ_{j} false/ 2}{{false(ν_{0, j} + ν false)}^{2} + {false(Γ_{j} false/ 2 false)}^{2}}),

Section: The Effective Oscillator Model For a Weakly Absorbing Aqueoumentioning

confidence: 99%

The Wavelength‐Dependent Complex Refractive Index of Hygroscopic Aerosol Particles and Other Aqueous Media: An Effective Oscillator Model

Bain

Rafferty

Preston

2019

Geophysical Research Letters

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“…Analysis of the dispersion relation in similar studies showed significant differences for oxyhemoglobin and deoxyhemoglobin, related to the difference in the imaginary part of the RI for the 500 to 600 nm region. 4,[45][46][47][48][49][50] There is lack of data for RI of hemoglobin solutions for concentrations close to that in the red blood cells (RBC), especially for the NIR region.…”

Section: Introductionmentioning

confidence: 99%

Measurement of refractive index of hemoglobin in the visible/NIR spectral range

Lazareva

Tuchin

2018

J. Biomed. Opt.

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This study is focused on the measurements of the refractive index of hemoglobin solutions in the visible/near-infrared (NIR) spectral range at room temperature for characteristic laser wavelengths: 480, 486, 546, 589, 644, 656, 680, 930, 1100, 1300, and 1550 nm. Measurements were performed using the multiwavelength Abbe refractometer. Aqua hemoglobin solutions of different concentrations obtained from human whole blood were investigated. The specific increment of refractive index on hemoglobin concentration and the Sellmeier coefficients were calculated.

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“…2) to machine precision. But also curves less generic than this Sellmeier equation (see footnote [30]), e. g., the feature-rich spectral RI of the protein complex hemoglobin [26,27] can be represented with errors well below the respective measurement uncertainties using an appropriate grid spacing ∆ y .…”

Section: Representation Of N(λ)mentioning

confidence: 99%

Extinction spectra of suspensions of microspheres: determination of the spectral refractive index and particle size distribution with nanometer accuracy

2018

Self Cite

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A method is presented to infer simultaneously the wavelength-dependent real refractive index (RI) of the material of microspheres and their size distribution from extinction measurements of particle suspensions. To derive the averaged spectral optical extinction cross section of the microspheres from such ensemble measurements, we determined the particle concentration by flow cytometry to an accuracy of typically 2% and adjusted the particle concentration to ensure that perturbations due to multiple scattering are negligible. For analysis of the extinction spectra, we employ Mie theory, a series-expansion representation of the refractive index and nonlinear numerical optimization. In contrast to other approaches, our method offers the advantage to simultaneously determine size, size distribution, and spectral refractive index of ensembles of microparticles including uncertainty estimation.

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

Cited by 41 publications

References 23 publications

The Wavelength‐Dependent Complex Refractive Index of Hygroscopic Aerosol Particles and Other Aqueous Media: An Effective Oscillator Model

The Wavelength‐Dependent Complex Refractive Index of Hygroscopic Aerosol Particles and Other Aqueous Media: An Effective Oscillator Model

Measurement of refractive index of hemoglobin in the visible/NIR spectral range

Extinction spectra of suspensions of microspheres: determination of the spectral refractive index and particle size distribution with nanometer accuracy

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