Numerical evaluation of truncated Kramers-Kronig transforms
JOSA B, Vol. 24, Issue 7, pp. 1589-1595 doi:10.1364/JOSAB.24.001589
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- OCIS Codes:
- (000.4430) General : Numerical approximation and analysis
- (160.4760) Materials : Optical properties
Physical Optics
Citation
Frederick W. King, "Numerical evaluation of truncated Kramers-Kronig transforms," J. Opt. Soc. Am. B 24, 1589-1595 (2007)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-7-1589
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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 logex−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
» View Full Text: Acrobat PDF (181 KB)
History
Original Manuscript: December 11, 2006
Manuscript Accepted: March 22, 2007
Revised Manuscript: March 5, 2007
Published: June 15, 2007
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