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Applied Physics A

, Volume 40, Issue 3, pp 151–158 | Cite as

Application of Fourier's allied integrals to the Kramers-Kronig transformation of reflectance data

  • B. Harbecke
Contributed Papers

Abstract

Since the fast Fourier algorithm is available, the representation of the Kramers-Kronig transformation by Fourier's allied integrals offers the possibility of a quick and comfortable calculation. Further advantages of the procedure are explained and demonstrated, e.g. the possibility to examine the “response function” after the first Fourier transformation and to extract physical information; the feature of numerical self-consistency by obtaining back the original spectrum after the second transformation. We present Fourier's allied integrals for the complex-amplitude reflection coefficient and describe a procedure which allows an application of the method to the reflectance of semiinfinite media. Extrapolations of the spectra to low and high frequencies are recommended; thus the range of integration is sufficiently large that the phase needs no correction. The performance of the transformations together with technical details is exposed for four measured spectra as examples: the reflectance of NaCl, InSb, and MnSe at room temperature, together with the reflectance of MnSe at liquid helium temperature.

PACS

42.10 42.20 78.20 

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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • B. Harbecke
    • 1
  1. 1.I. Physikalisches Institut der Rheinisch-Westfälischen Technischen Hochschule AachenAachenFed. Rep. Germany

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