Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

Hilbert transform : applications to atomic spectra.

Whittaker, K. A. and Keveaney, J. and Hughes, I. G. and Adams, C. S. (2015) 'Hilbert transform : applications to atomic spectra.', Physical review A., 91 (3). 032513.

Abstract

In many areas of physics, the Kramers-Kronig relations are used to extract information about the real part of the optical response of a medium from its imaginary counterpart. In this paper we discuss an alternative but mathematically equivalent approach based on the Hilbert transform. We apply the Hilbert transform to transmission spectra to find the group and refractive indices of a Cs vapor and thereby demonstrate how the Hilbert transform allows indirect measurement of the refractive index, group index, and group delay while avoiding the use of complicated experimental setups.

Item Type:Article
Full text:(VoR) Version of Record
Download PDF
(726Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1103/PhysRevA.91.032513
Publisher statement:Reprinted with permission from the American Physical Society: Whittaker, K. A. and Keveaney, J. and Hughes, I. G. and Adams, C. S. (2015) 'Hilbert transform : applications to atomic spectra.', Physical review A., 91 (3). 032513 © 2015 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Date accepted:No date available
Date deposited:08 April 2015
Date of first online publication:March 2015
Date first made open access:No date available

Save or Share this output

Export:
Export
Look up in GoogleScholar