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arXiv · 2110.04490

On resonant generation of electromagnetic modes in nonlinear electrodynamics: Classical approach

Ilia Kopchinskii·Petr Satunin
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Abstract

The paper explores a theoretical possibility of resonant amplification of electromagnetic modes generated by a nonlinear effect in Euler-Heisenberg electrodynamics. Precisely, we examine the possibility of the amplification for the third harmonics induced by a single electromagnetic mode in radiofrequency cavity, as well as the generation of signal mode of combined frequencies induced by two pump modes ($\omega_1$ and $\omega_2$) in the cavity. Solving inhomogeneous wave equations for the signal mode, we formulate two resonant conditions for a cavity of arbitrary shape, and apply the obtained formalism to linear and rectangular cavities. We explicitly show that the third harmonics as well as the mode of combined frequency $2\omega_1 + \omega_2$ are not resonantly amplified while the signal mode with frequency $2\omega_1 - \omega_2$ is amplified for a certain cavity geometry.

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Ilia Kopchinskii, Petr Satunin. 2021-10-09. On resonant generation of electromagnetic modes in nonlinear electrodynamics: Classical approach. https://doi.org/10.1103/physreva.105.013508

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