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