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We calculate the unpolarized differential cross section in magnetic dipole field, electric dipole field and uniform electrostatic and magnetostatic fields, respectively,by the Feynman perturbation technique. It is found that in electric dipole field, the differential cross section vanishes in both the same and the opposite propagating directions of the photon flux. In the magnetic dipole field the differential cross section generally has non-vanishing values in both directions,but when the propagating direction of photon flux is parallel to the magnetic dipole vector, the differential cross section is equal to zero. In the uniform electrostatic and magnetostatic fields, non-vanishing differential cross sections occur in the same and opposite propagating directions of the photon flux, but in the latter case it is weaker than in the former. When the mass of axion approaches to zero,the above process shows similar characters as the conversion of the photons to the gravitons.

Gaussian beam resonance system (GBRS) opens a very important window for detection of relic stochastic high frequency gravitational waves (HFGWs) of early universe. The results of calculation show that the first-order perturbation photon flux produced by this system has no observable effect when the GWs frequency is different from that of Gaussian beam. The first-order perturbation photon flux produced by GBRS will be reduced by several orders of magnitude when the propagation direction of GWs is different from that the positive direction of the symmetrical axis of Gaussian beam, i. e., GBRS only responds to relic HFGWs that propagate along a specific direction. Therefore, GBRS have a useful selective effect with respect to the frequency and propagation direction of relic HFGWs.

First-order and second-order perturbations to the energy of Gaussian beam by a doubly polarized weak gravitational plane wave in static magnetic fields are discussed.The results of numerical estimation show that the perturbation to Gaussian beams by weak gravitational plane waves is very small,i.e.the total energy of the background fields would not change obviously in the influence of gravitational waves,but the perturbative power flux produced in the local region may be observable.

Modulation on electromagnetic waves with angle frequency ωe,travelling around a circular waveguide by high-frequency plane gravitational waves with angle frequency ωg,incident perpendicularly to the plane,where the waveguide is located,is discussed.Results present that in the vicinity of symmetric plane,perpendicular to the travelling direction of gravitational waves, of the waveguide,energy flux density of electromagnetic waves,generally will be added by three new components with angle frequencies(2ωe±ωg)and ωg,respectively.In the case as ωg》ωe,ratio-modulation of amplitude of energy flux density is as large as h0, the dimensionless amplitude of the gravitational wave,in order.Specially,when for ωg,ωe and ω0,the cyclical angle frequency of electromagnetic waves around the waveguide, ωg=2ωe》ω0 is satisfied,energy flux density will be greater than h0 in order because of some mechanism,similar to resonance.The results don't vanish when these parameters have a small change.It is very important to detect the very weak signals of gravitational waves.

The effect of gravitational waves (GW) on phonon in axisymmectic non-uniform elastic medium is analysed by means of the complex coordinate in Serebryany's complex space. and expression of diving force produced by the GW and corresponding phonon soluitons are given. In our solution forms. they are shown that the GW propagating along symmetric axial direction generates only perturbation to radial and tangential components of the phonon fields. while the GW propagating along direction perpendicular to the symmetric axis generates perturbation to all components of the phonon fields. i.e., radial, tangential and axial components. The strength of pertur-bation depends on concrete form of radial distribution function of shear modulus and the GW's amplitude. Moreover, above results are compared with the GW's perturbing effect in topological phonon space with the spiral dislocation.

Starting with the Einstein-Maxwell equations of weak gravitational field, we discussed the interaction between narrow wave beam-type high frequency gravitational radiation of crystal space array and electromagnetic fields. The perturbed solutions have been obtained. By our calculation, it is shown that this gravitational wave beam with optimal radiation direction is purely + type polarized in TT coordinate system, and it can make electromagnetic wave, which has the same frequency, to generate perturbed effects of frequency doubling, make static electromagnetic fields to generate cumulative effect linear in time. For the gravitational radiation wave beam with an arbitrary direction, it is also purely+type polarized in the plane perpendicular to the gravitational wave vector. Under the condition of high frequency radiation and laboratory's typical size, difference between TT coordinate and Fermi coordinate systems can be neglected.

This paper touches upon gravitational radiant power and radiant angle distribution of space rectangular lattice arrays of mass quadrupole oscillators, and gives analytic expression. The calculation show that these arrays can generate narrow gravitational radiation wave beam which has the best directional property. The travelling wave typegravitational radiation theory, developed by Seki and his colleagues, may be regarded as a specific case of the work in this paper and can be derived naturally. Under the codition of ideal ultrahigh frequency acoustic resonance and perfect travelling wave type synchronism intensification, an numerical example calculated with our method shows that energy flux density of gravitational radiation of optimum direction of space array which consists of 100 CaS crystals of 30×30×0.03 cm3 would amount to 2.84×10-1 erg/cm2·s. This result shows the potentiality of crystal space arrays exciting high-frequency gravitational radiation.