Electromagnetic Resonance of Astigmatic Gaussian Beam to the High Frequency Gravitational Waves

The high frequency gravitational waves (around 10^8–10^12 Hz) could interact with a specially designed electromagnetic resonance system. It is found that the power of transverse perturbative photon flux (PPF) of an electromagnetic resonance system can be improved significantly by virtue of an astigmatic Gaussian beam. Correspondingly the signal-to-noise ratio (SNR) would also be improved. When the eccentric ratio of waist satisfying w_0x:w_0y>1, the peak value of signal photon flux could be raised by 2–4 times with typical systematic parameters, while the background photon flux would be depressed. Therefore, the ratio of transverse PPF to background photon flux (i.e., SNR) can be further improved 3–8 times with dimensionless amplitude of relic gravitational wave h_\rm t=10^-36.