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 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.
Siemens
Mark E
ME
JILA, University of Colorado and National Institute of Standards and Technology, Boulder, Colorado 80309-0440, USA.
Moody
Galan
G
Li
Hebin
H
Bristow
Alan D
AD
Cundiff
Steven T
ST
D005583:Fourier Analysis; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D008962:Models, Theoretical