OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 13 — May. 1, 1998
  • pp: 2660–2673

Multiply subtractive Kramers–Kronig analysis of optical data

Kent F. Palmer, Michael Z. Williams, and Ben A. Budde  »View Author Affiliations


Applied Optics, Vol. 37, Issue 13, pp. 2660-2673 (1998)
http://dx.doi.org/10.1364/AO.37.002660


View Full Text Article

Enhanced HTML    Acrobat PDF (287 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We describe a new, multiply subtractive Kramers–Kronig (MSKK) method to find the optical constants of a material from a single transmittance or reflectance spectrum covering a small frequency domain. The MSKK method incorporates independent measurements of n and k at one or more reference wave-number values to minimize errors due to extrapolations of the data. An unexpected connection between the MSKK equations and the interpolation theory allows us to derive the equations from an interpolation theorem. We found that the locations of the reference points affect the accuracy of the values determined for the optical constants and that the optimal spacing of N reference data points is related to the zeros of a suitably transformed Chebychev polynomial of order N. We discuss our efforts to optimize both the number and the spacing of these reference points and apply our method to some test spectra.

© 1998 Optical Society of America

OCIS Codes
(120.4530) Instrumentation, measurement, and metrology : Optical constants
(160.4760) Materials : Optical properties
(310.6860) Thin films : Thin films, optical properties
(350.5030) Other areas of optics : Phase

History
Original Manuscript: August 7, 1997
Revised Manuscript: December 19, 1997
Published: May 1, 1998

Citation
Kent F. Palmer, Michael Z. Williams, and Ben A. Budde, "Multiply subtractive Kramers–Kronig analysis of optical data," Appl. Opt. 37, 2660-2673 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-13-2660

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

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

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited