Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group
  • Applied Spectroscopy
  • Vol. 42,
  • Issue 6,
  • pp. 952-957
  • (1988)

Comparison Among Several Numerical Integration Methods for Kramers-Kronig Transformation

Not Accessible

Your library or personal account may give you access

Abstract

Several numerical integration methods are compared in order to search out the most effective method for the Kramers-Kronig transformation, using the analytical formula of the Kramers-Kronig transformation of a Lorentzian function as a reference. The methods to be compared involve the use of (1) Maclaurin's formula, (2) trapezium formula, (3) Simpson's formula, and (4) successive double Fourier transform methods. It is found that Maclaurin's formula, in which no special approximation is necessary for the pole part of the integration, gives the most accurate results, and also that its computation time is short. Successive Fourier transform is less accurate than the other methods, but it takes the least time when used without zero-filling. These results have important relevance for programs used to obtain optical constant spectra and to analyze spectral data.

PDF Article
More Like This
Efficient numerical approach to the evaluation of Kramers–Kronig transforms

Frederick W. King
J. Opt. Soc. Am. B 19(10) 2427-2436 (2002)

Numerical evaluation of truncated Kramers-Kronig transforms

Frederick W. King
J. Opt. Soc. Am. B 24(7) 1589-1595 (2007)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved