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A method is presented to infer simultaneously the wavelength-dependent realrefractive index (RI) of the material of microspheres and their sizedistribution from extinction measurements of particle suspensions. To derivethe averaged spectral optical extinction cross section of the microspheres fromsuch ensemble measurements, we determined the particle concentration by flowcytometry to an accuracy of typically 2% and adjusted the particleconcentration to ensure that perturbations due to multiple scattering arenegligible. For analysis of the extinction spectra we employ Mie theory, aseries-expansion representation of the refractive index and nonlinear numericaloptimization. In contrast to other approaches, our method offers the advantageto simultaneously determine size, size distribution and spectral refractiveindex of ensembles of microparticles including uncertainty estimation.

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