高频引力波对环形波导中电磁波的调制作用

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

讨论了垂直入射的、频率为ωｇ的平面高频引力波对环形波导管中频率为ωｅ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（２ωｅ±ωｇ）和ωｇ．在ωｇωｅ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ωｇ，ωｅ和电磁波绕波导传播的绕行频率ωｏ满足关系ωｇ＝２ωｅωｏ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。

Abstract 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(2 ω 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 h 0, the dimensionless amplitude of the gravitational wave,in order.Specially,when for ω g, ω e and ω o,the cyclical angle frequency of electromagnetic waves around the waveguide, ω g=2 ω e ω o is satisfied,energy flux density will be greater than h 0 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.