I will present some recent results for strong-laser-field induced processes in complex laser fields. By complex fields I mean the fields which are different from a linearly polarized monochromatic periodic field. Examples are elliptically polarized field, bicircular field, orthogonally polarized two-color field (OTC), and few-cycle pulse . Polarization of high-order harmonics generated by atoms or molecules can be controlled using the OTC field [2-4]. Angle-resolved photoelectron spectra in above-threshold ionization by OTC field exhibit particular symmetries [1,5]. Theoretical methods used to consider these processes include improved strong-field approximation, quantum-orbit theory, and solutions of the time-dependent Schrödinger equation . Particular attention will be devoted to recently discovered trifurcation in phase-dependent asymmetry in high-order above-threshold ionization of cesium atoms by 3100 nm few-cycle laser pulses and explanations in terms of time-domain holography .
 A. Jašarević, E. Hasović, R. Kopold, W. Becker, and D. B. Milošević, Application of the saddle-point method to strong-laser-field ionization, J. Phys. A: Math. Theor. 53, 125201 (2020)
 D. B. Milošević and W. Becker, X-ray harmonic generation by orthogonally polarized two-color fields: Spectral shape and polarization, Phys. Rev. A 100, 031402(R) (2019)
 D. B. Milošević and W. Becker, High-order harmonic generation by bi-elliptical orthogonally polarized two-color fields, Phys. Rev. A 102, 023107 (2020)
 D. Habibović and D. B. Milošević, Ellipticity of high-order harmonics generated by aligned homonuclear diatomic molecules exposed to an orthogonal two-color laser field, Photonics 7, 110 (2020)
 D. Habibović, A. Gazibegović-Busuladžić, M. Busuladžić, A. Čerkić, and D. B. Milošević, Strong-field ionization of homonuclear diatomic molecules using orthogonally polarized two-color laser fields, Phys. Rev. A 102, 023111 (2020)
 B. Fetić, W. Becker, and D. B. Milošević, Extracting photoelectron spectra from the time-dependent wave function: Comparison of the projection onto continuum states and window-operator methods, Phys. Rev. A 102, 023101 (2020)
 M. Kübel, P. Wustelt, Y. Zhang, S. Skruszewicz, D. Hoff, D. Würzler, H. Kang, D. Zille, D. Adolph, A. M. Sayler, G. G. Paulus, M. Dumergue, A. Nayak, R. Flender, L. Haizer, M. Kurucz, B. Kiss, S. Kühn, B. Fetić, and D. B. Milošević, High-order phase-dependent asymmetry in the above-threshold ionization plateau, Phys. Rev. Lett. 126, 08xxxx (2021) (accepted)