Resonance lineshapes in two-dimensional Fourier transform spectroscopy

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 t...

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Bibliographic Details
Published in:Optics express 2010-08, Vol.18 (17), p.17699-17708
Main Authors: Siemens, Mark E, Moody, Galan, Li, Hebin, Bristow, Alan D, Cundiff, Steven T
Format: Article
Language:English
Subjects:
Fourier Analysis
Magnetic Resonance Spectroscopy - methods
Models, Theoretical
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Summary: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.
ISSN:1094-4087
1094-4087
DOI:10.1364/oe.18.017699