All imagines made in gnuplot

Top left: comparing the KER for H₂⁺. The blue line is the Fourier transform without projecting out bound states propagated after the pulse, green the Fourier transform with projecting out bound state propagated after the pulses. Red (covered by the other lines at high energies) is the exact method.
Top right: same as top left except for D₂⁺.
Bottom left: exact KER vs energy and CEP for H₂⁺.
Bottom right: exact KER vs energy and CEP for D₂⁺.

Top left: exact asymmetry H₂⁺.
Top right: exact asymmetry D₂⁺.
Middle left: Fourier transform with projecting out bound states propagated after the pulse asymmetry H₂⁺.
Middle right: Fourier transform with projecting out bound states propagated after the pulse asymmetry D₂⁺.
Bottom left: Fourier transform without projecting out bound states propagated after the pulse asymmetry H₂⁺.
Bottom right: Fourier transform without projecting out bound states propagated after the pulse asymmetry D₂⁺.

Top left: exact KER H₂.
Top right: exact KER D₂.
Bottom left: Fourier transform with projecting out bound states propagated after the pulse KER H₂.
Bottom right: Fourier transform with projecting out bound states propagated after the pulse KER D₂.

Top left: Fourier transform with projecting out bound states right after the pulse KER H₂⁺.
Top right: Fourier transform with projecting out bound states right after the pulse KER D₂⁺.
Middle left: Fourier transform with projecting out bound states propagated after the pulse KER H₂⁺.
Middle right: Fourier transform with projecting out bound states propagated after the pulse KER D₂⁺.
Bottom left: Fourier transform without projecting out bound states propagated after the pulse KER H₂⁺.
Bottom right: Fourier transform without projecting out bound states propagated after the pulse KER D₂⁺.

Top left: exact asymmetry H₂.
Top right: exact asymmetry D₂.
Bottom left: Fourier transform with projecting out bound states propagated after the pulse asymmetry H₂.
Bottom right: Fourier transform with projecting out bound states propagated after the pulse asymmetry D₂.

The wavefunction for the ninth vibrational state for incoherent H₂⁺ propogated after the pulse. The red represents the function corresponding to 1sσg and the green to the 2pσu channel. The blue line shows where we "cut" the function and say anything to the left is bounded and to the right continous.