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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 17 — Aug. 16, 2010
  • pp: 17699–17708

Resonance lineshapes in two-dimensional
Fourier transform spectroscopy

Mark E. Siemens, Galan Moody, Hebin Li, Alan D. Bristow, and Steven T. Cundiff  »View Author Affiliations


Optics Express, Vol. 18, Issue 17, pp. 17699-17708 (2010)
http://dx.doi.org/10.1364/OE.18.017699


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Abstract

We derive an analytical form for resonance lineshapes in two-dimensional (2D) Fourier transform spectroscopy. Our starting point is the solution of the optical Bloch equations for a two-level system in the 2D time domain. Application of the projection-slice theorem of 2D Fourier transforms reveals the form of diagonal and cross-diagonal slices in the 2D frequency data for arbitrary inhomogeneity. The results are applied in quantitative measurements of homogeneous and inhomogeneous broadening of multiple resonances in experimental data.

© 2010 OSA

OCIS Codes
(300.3700) Spectroscopy : Linewidth
(300.6300) Spectroscopy : Spectroscopy, Fourier transforms

ToC Category:
Spectroscopy

History
Original Manuscript: June 22, 2010
Revised Manuscript: July 14, 2010
Manuscript Accepted: July 21, 2010
Published: August 2, 2010

Citation
Mark E. Siemens, Galan Moody, Hebin Li, Alan D. Bristow, and Steven T. Cundiff, "Resonance lineshapes in two-dimensional
Fourier transform spectroscopy," Opt. Express 18, 17699-17708 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-17-17699


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