Resonant Interaction Between Relic Gravitational Waves And A Gaussian Beam In Double Polarized States Through Nonuniform Static Magnetic Field And Quantum Gravity Estimate

The existence of gravitational waves (GWs) is the direct consequence of Einstein's General Relativity. For years, many researchers have investigated the detection of gravitational waves. Several approaches have been studied and some of them have even been built and operated for decades. But the only one evidence of GWs is that the close pulsar PSR 1913+16 provide indirect evidence. On the base of the research of the interaction between gravitational waves and electromagnetic fields, Prof. Fangyu Li proposed a totally new scheme: Gaussian beam resonance detection scheme. Such a scheme says that the resonance would occur when Gaussian beam, uniform static magnetic field and GWs exist in the same area and give detectable signal photon fluxes due to GWs. To propel Prof. Fangyu Li's scheme to experiments, we firstly need the theoretical results on more realistic conditions, so I firstly calculated the perturbative fields and get the exact solutions for these fields, which are excitated by relic GWs that are propagating across an area with non-uniform static magnetic fields. We choose the distribution of Gaussian form for the non-uniform fields since this kind of distribution is easier to realize in experiments. In the same time, this disposal of static magnetic fields can avoid discontinuousness. Therefore the solutions should be more realistic and strict. Then the resonance occur between the Gaussian beam in the double polarized states that is more realistic and the perturbative fields we got and give the amplificatory signal photon fluxes. The numerical calculation shows that we can get 1.82 ×10 2 s-1 at given receiving surface when the parameters are chosen as realizable values in the present experiments. Finally we estimate our system in Quantum Gravity opinion and get the same result.