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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 7 — Jul. 1, 2007
  • pp: 1589–1595

Numerical evaluation of truncated Kramers–Kronig transforms

Frederick W. King  »View Author Affiliations

JOSA B, Vol. 24, Issue 7, pp. 1589-1595 (2007)

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The truncated Kramers–Kronig transform, used widely in the analysis of optical data, is recast into a form that avoids the need to evaluate a Cauchy principal-value integral. A specialized Gaussian quadrature involving the weight function log e x 1 is employed. This approach yields accurate results for functions that lead to kernels with relatively rapid decay, which covers the cases most commonly encountered in optical data analysis. An application to the reststrahlen region of the GaAs spectrum is made.

© 2007 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(160.4760) Materials : Optical properties

ToC Category:
Physical Optics

Original Manuscript: December 11, 2006
Revised Manuscript: March 5, 2007
Manuscript Accepted: March 22, 2007
Published: June 15, 2007

Frederick W. King, "Numerical evaluation of truncated Kramers-Kronig transforms," J. Opt. Soc. Am. B 24, 1589-1595 (2007)

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