Abstract

There are many experimental situations in which infrared reflectivity spectra can be acquired only over a limited spectral range. It is therefore necessary to find computing procedures that allow the efficient analysis of such data. In this paper, we propose a new procedure labeled constrained finite range correction (CFRC) that can be advantageously substituted to multiply subtractive Kramers–Kronig relations. The constrained finite range correction is able to produce realistic results even when very little supplementary information is available. For semitransparent crystals, the hypothesis of the phase spectrum positiveness alone is often sufficient to compute satisfactory approximations of the optical functions. The efficiency of the new method is shown through the analysis of several synthetic and experimental spectra.

Comparison of subtractive Kramers-Kronig analysis and maximum entropy model in resolving phase from finite spectral range reflectance data

Evgeny Gornov, Erik M. Vartiainen, and Kai-Erik Peiponen
Appl. Opt. 45(25) 6519-6524 (2006)

Retrieval of optical constants and thickness of thin films from transmission spectra

I. Chambouleyron, J. M. Martínez, A. C. Moretti, and M. Mulato
Appl. Opt. 36(31) 8238-8247 (1997)

Dispersion relations for testing the validity of linear and nonlinear optical spectra

Evgeny Gornov and Kai-Erik Peiponen
Appl. Opt. 46(24) 6081-6083 (2007)

Phase retrieval in nonlinear optical spectroscopy by the maximum-entropy method: an application to the |χ⁽³⁾| spectra of polysilane

E. M. Vartiainen, K.-E. Peiponen, H. Kishida, and T. Koda
J. Opt. Soc. Am. B 13(10) 2106-2114 (1996)

Convolutional neural network-based retrieval of Raman signals from CARS spectra

Rajendhar Junjuri, Ali Saghi, Lasse Lensu, and Erik M. Vartiainen
Opt. Continuum 1(6) 1324-1339 (2022)