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- W938601765 abstract "A great deal of our knowledge related to spectroscopic properties, such as dispersion and absorption of light, of media is based on the exploitation of Kramers-Kronig (K-K) dispersion relations [120–122]. The idea of KramersKronig relations for complex electric field reflectance is that the phase of the electric field can be calculated, as a function of wavelength, with the aid of the intensity reflectance, which is measured. Then the complex refractive index is obtained e.g. from (4.1) or (4.2). Probably the most common situation is where the dispersion relations are applied for normal reflectance i.e. reflectance that is measured at normal incidence. Unfortunately, the rigorous derivation of K-K relations is usually neglected in the literature of the field, probably due to some mathematics, which usually involves complex analysis. However, in the derivation some crucial assumptions are made and one has to be convinced that these assumptions are fulfilled in order to apply K-K relations. Therefore we will spend some time in dealing with the assumptions and derivations of the K-K relations. We will also point out that especially in nonlinear optics the K-K relations can be invalid. As an alternative method, which has been pointed out to be more powerful than K-K relations, we deal with maximum entropy model in phase retrieval problems of spectroscopy. We begin the presentation, due to historical reasons, by derivation of the K-K relations of the complex refractive index. Such relations have importance especially in transmission spectroscopy. The results for the complex refractive index are helpful when we derive the K-K relations for the complex reflectance." @default.
- W938601765 created "2016-06-24" @default.
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- W938601765 date "2004-01-01" @default.
- W938601765 modified "2023-10-18" @default.
- W938601765 title "Wavelength Spectra Analysis" @default.
- W938601765 doi "https://doi.org/10.1007/978-3-540-45093-1_6" @default.
- W938601765 hasPublicationYear "2004" @default.
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