title: Analytical calculation of two-dimensional spectra.
abstract: We demonstrate an analytical calculation of two-dimensional (2D) coherent spectra of electronic or vibrational resonances. Starting with the solution to the optical Bloch equations for a two-level system in the 2D time domain, we show that a fully analytical 2D Fourier transform can be performed if the projection-slice and Fourier-shift theorems of Fourier transforms are applied. Results can be fit to experimental 2D coherent spectra of resonances with arbitrary inhomogeneity.
authors.forename: Joshua D
authors.initials: JD
authors.lastname: Bell
authors.forename: Rebecca
authors.initials: R
authors.lastname: Conrad
authors.forename: Mark E
authors.initials: ME
authors.lastname: Siemens
mesh_terms: D005583:Fourier Analysis; D055620:Optical Phenomena; D013057:Spectrum Analysis