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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 34, Iss. 9 — May. 1, 2009
  • pp: 1363–1365

Broadband CARS spectral phase retrieval using a time-domain Kramers–Kronig transform

Yuexin Liu, Young Jong Lee, and Marcus T. Cicerone  »View Author Affiliations


Optics Letters, Vol. 34, Issue 9, pp. 1363-1365 (2009)
http://dx.doi.org/10.1364/OL.34.001363


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Abstract

We describe a closed-form approach for performing a Kramers–Kronig (KK) transform that can be used to rapidly and reliably retrieve the phase, and thus the resonant imaginary component, from a broadband coherent anti-Stokes Raman scattering (CARS) spectrum with a nonflat background. In this approach we transform the frequency-domain data to the time domain, perform an operation that ensures a causality criterion is met, then transform back to the frequency domain. The fact that this method handles causality in the time domain allows us to conveniently account for spectrally varying nonresonant background from CARS as a response function with a finite rise time. A phase error accompanies KK transform of data with finite frequency range. In examples shown here, that phase error leads to small ( < 1 % ) errors in the retrieved resonant spectra.

© 2009 U.S. Government

OCIS Codes
(300.2570) Spectroscopy : Four-wave mixing
(180.4315) Microscopy : Nonlinear microscopy

ToC Category:
Microscopy

History
Original Manuscript: December 12, 2008
Revised Manuscript: March 25, 2009
Manuscript Accepted: March 30, 2009
Published: April 22, 2009

Citation
Yuexin Liu, Young Jong Lee, and Marcus T. Cicerone, "Broadband CARS spectral phase retrieval using a time-domain Kramers–Kronig transform," Opt. Lett. 34, 1363-1365 (2009)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-34-9-1363

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