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Based on the classical Lorentz model of the index of refraction, a new methodis presented for the extraction of the complex index of refraction from theextinction efficiency of homogeneous and layered dielectric spheres thatsimultaneously removes scattering effects and corrects measured extinctionspectra for baseline shifts, tilts, curvature, and scaling. No referencespectrum is required and the method automatically satisfies the Kramers-Kronigrelations. Thus, the method yields pure absorbance spectra for unambiguousinterpretation of the chemical information of the sample. In the case ofhomogeneous spheres, the method also determines the radius of the sphere. Inthe case of layered spheres, the method determines the radii of the layers andthe substances within each layer. Only a single-element detector is required.Using simulated $Q_{ext}$ data of polymethyl-methacrylate (PMMA) andpolystyrene homogeneous and layered spheres we show that our reconstructionalgorithm is reliable and accurately extracts pure absorbance spectra from$Q_{ext}$ data. Reconstructing the pure absorbance spectrum from a published,experimentally measured raw absorbance spectrum shows that our method alsoworks for uncorrected spectra, reliably removes scattering effects and, givenshape information, simultaneously corrects for spectral distortions.

Space-resolved Chemical Information from Infrared Extinction Spectra