Analysis of carrier-envelope phase (CEP) dependence on dissociation, nuclear kinetic energy release (KER), and asymmetry of H₂⁺ are typically performed either exactly or using Fourier transformations. Exact analysis of the problem involves projection of the wave function onto outgoing scattering states. We can approximate this analysis by using Fourier transformations with and without projecting out bound states. Comparisons were made using coherent and incoherent initial distributions of both H₂⁺ and D₂⁺. While the values of the total observables were comparable, the Fourier transformation methods took much longer to converge to the exact differential quantities of interest.

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