高频引力波对环形波导中电磁波的调制作用

讨论了垂直入射的、频率为ω_g的平面高频引力波对环形波导管中频率为ω_e的电磁波的调制作用．一般情况下，在波导管中与引力波传播方向垂直的对称平面附近，电磁波的能流密度会出现三种新的频率成分（2ω_e±ω_g）和ω_g．在ω_g》ω_e时，能流密度振幅的相对调制量与引力波的无量纲振幅h₀数量级相同．特别是当ω_g，ω_e和电磁波绕波导传播的绕行频率ω₀满足关系ω_g＝2ω_e》ω₀时，由于类似于共振的机制，能流密度会出现比h₀大几个数量级的振幅相对调制量．这个结果不会由于参数的微小改变而消失，这对于探测极微弱的引力辐射信号将是十分重要的关键词：

MODULATION ON ELECTROMAGNETIC WAVES IN A CIRCULAR WAVEGUIDE BY HIGH FREQUENCY GRAVITATIONAL WAVES

Modulation on electromagnetic waves with angle frequency ω_e,travelling around a circular waveguide by high-frequency plane gravitational waves with angle frequency ω_g,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(2ω_e±ω_g)and ω_g,respectively.In the case as ω_g》ω_e,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 ω_g,ω_e and ω₀,the cyclical angle frequency of electromagnetic waves around the waveguide, ω_g=2ω_e》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.