Measurements of the high-order-harmonic generation yield of the argon (Ar) atom driven by a strong elliptically polarized laser field are shown to completely determine the field-free differential photoionization cross section of Ar, i.e., the energy dependence of both the angle-integrated photoionization cross section and the angular distribution asymmetry parameter. DOI: 10.1103/PhysRevA.93.031403 Advances in laser technologies have enabled measurements of atoms and molecules that provide detailed views of their structures as well as the ability to image ultrafast processes on attosecond (10 −18 s) time scales [1][2][3][4][5][6]. Nevertheless, the most common method for obtaining information on the electronic structure of atoms and molecules remains single-photon ionization (since the photoelectron angular and energy distributions are sensitive to both the initial target wave function and the final-state wave function of the ion and continuum electron [7][8][9]). Photoionization experiments nowadays are typically carried out at synchrotron or free-electron laser light source facilities. An appeal of laser spectroscopy for photoionization measurements is the tabletop size of the experimental setup. However, a main obstacle for laser spectroscopy measurements of energy-resolved photoionization spectra is the need for tunable laser sources. This remains a challenge in the important VUV and XUV photon energy regions. However, this problem can be overcome by high-order-harmonic generation (HHG) spectroscopy [10][11][12][13][14], which permits fully coherent, energyresolved photoionization measurements with a laser field whose frequency is much smaller than the ionization potentials of typical atomic or molecular targets. This connection of the nonlinear harmonic-generation process with the linear photoionization process is one of the key advances in our understanding of strong-field processes.HHG spectroscopy is based on the quasiclassical interpretation of HHG as a three-step process [3,15,16]: (i) tunnel ionization of an electron in an atomic or molecular target by a strong low-frequency laser field; (ii) propagation of the ionized electron in the laser-dressed continuum away from and back to the target ion by the oscillating field; and (iii) recombination of the returning electron back to the target ground state with emission of a harmonic photon. The intensity of the harmonic radiation carries information on the photorecombination cross section (PRCS), which is related (through the principle of detailed balance) to that for photoionization. The retrieval of the PRCS is based on the phenomenological parametrization of the HHG yield Y as the product of an electronic wave packet W (E) and the field-free PRCS σ (E) [17,18],where E is the energy of the recombining electron, E is the harmonic energy, and I p is the target binding energy. The parametrization (1) is valid in the tunneling regime and involves the exact PRCS for an electron having momentum directed along the polarization axis of the linearly polarized ...