High‐Frequency Gravitational Waves in Electromagnetic Waveguides

Abstract

AbstractThe interaction between a very‐high‐frequency gravitational wave (VHFGW) and an electromagnetic wave (EMW) in a rectangular waveguide is discussed in the weak field limit. The background EMW is assumed to be initially in the TE10 mode along the waveguide. It is then shown that a VHFGW, having the same frequency and direction of propagation of the EMW, induces through the waveguide a TE mode with a frequency doubled when compared to the original EMW frequency. In that respect, the GW acts similar to a non‐linear medium, giving rise to a Second Harmonic Generation (SHG) effect.