2010•Optics ExpressOpen access

Resonance lineshapes in two-dimensional Fourier transform spectroscopy

Mark E. Siemens, Galan Moody, Hebin Li, Alan D. Bristow, Steven T. Cundiff

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.

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Key concepts: Fourier transform spectroscopy, Fourier transform, Diagonal, Optics, Spectroscopy, Physics, k-space, Projection (relational algebra)