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

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...

Full description

Saved in:
Bibliographic Details
Published in:Optics letters 2009-05, Vol.34 (9), p.1363-1365
Main Authors: YUEXIN LIU, YOUNG JONG LEE, CICERONE, Marcus T
Format: Article
Language:English
Subjects:
Exact sciences and technology
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Optical instruments, equipment and techniques
Physics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 (
ISSN:0146-9592
1539-4794
DOI:10.1364/ol.34.001363