Analytical Calculation of Two-dimensional Spectra

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Physics and Astronomy


Four wave mixing, Fourier transforms, Numerical simulation, Optical Bloch equations, Resonance, Two level systems


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.

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