Influence of Coulomb continuum wave functions in the description of high-order harmonic generation with ${\mathrm{H}}_2^{+}$

We investigate the influence of the Coulombic nature of the binding potential on high-order harmonic generation in ${\mathrm{H}}_2^{+}$ molecules. We show that two-center interference effects are predicted accurately using approximated two-center Coulomb wave functions for the electron continuum state in the recombination amplitude that determines the probability for harmonic emission upon recollision.

Figure 1

Orientation dependence of the harmonic intensity and phase for the 43rd harmonic of a $780\mathrm{nm}$ laser field. Dashed line: PW velocity form ($E_k=\Omega$, see text). Dotted line: PW velocity form (with the SFA relation between electron energy and harmonic frequency). Solid line: TCA length form.

Figure 2

Orientation dependence of the harmonic intensity for the 43rd harmonic (see Fig. 1), using the recombination matrix element in length form. Solid line: TCA approach. Dashed line: eikonal limit of the TCA approach.

Figure 3

(Color online) Projected internuclear separation for interference minima vs electron wavelength. Dashed line: plane wave

Figure 4

(Color online) Same as Fig. 3 but using other two-center .