Resonant generation of high-order harmonics in nonlinear electrodynamics

Abstract

We study the process of resonant generation of high-order harmonics in a closed cavity in the model of vacuum nonlinear electrodynamics. Concretely, we study the possibility of resonant generation of the third harmonic induced by a single electromagnetic mode in a radiofrequency cavity, as well as resonant generation of a combined frequency mode induced by two pump modes ($\omega_1$ and $\omega_2$). We explicitly show that the third harmonic as well as the $2\omega_1+\omega_2$ combined frequency mode are not resonantly amplified, while the $2\omega_1-\omega_2$ signal mode is amplified for certain cavity geometry. We discuss the process from the point of view of quantum theory.Comment: 8 pages, 1 figure, 4 tables. Contribution to proceedings of International Conference on Quantum Field Theory, High-Energy Physics, and Cosmology (July 18-21, 2022; JINR, Dubna, Russia), to be published in Phys. Part. Nucl. Let