Analytical Calculation of Two-dimensional Spectra

Authors

Joshua D. Bell, University of Denver
Rebecca Conrad, University of Denver
Mark Siemens, University of DenverFollow

Publication Date

3-17-2015

Document Type

Article

Organizational Units

Physics and Astronomy

Keywords

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

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.

Publication Statement

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Recommended Citation

Bell, JD, R Conrad, and ME Siemens. "Analytical Calculation of Two-Dimensional Spectra." Optics Letters. 40.7 (2015): 1157-60. Print. doi: 10.1364/ol.40.001157.