Interaction of Electromagnetic and Gravitational Waves in the Weak and Short Wave Limit
Interaction of Electromagnetic and Gravitational Waves in the Weak and Short Wave Limit
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DOI：
10.1143/ptp.54.1309
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发表时间：
1975-11
影响因子：
--
通讯作者：
T. Tokuoka
中科院分区：
文献类型：
--
作者：
T. Tokuoka
分析了电磁波和引力波在外场中的相互作用和相互转换。使用爱因斯坦-麦克斯韦场方程组，并假设波是弱的，具有短波长。电磁势和引力势被假定为背景势和波势之和。在弱波和短波的限制下，波势可以从弯曲的背景势中唯一地分离出来。当电磁场存在时，两波的能流密度沿射线沿着变化，而总电流密度沿射线保持沿着不变，两波相互作用的微分方程与由奇异曲面理论导出的方程完全相同。
The interaction and the transformation of electromagnetic and gravitational waves in an external electromagnetic field are analyzed. The Einstein-Maxwell field equations are used, and the waves are assumed to be weak and have a short wavelength. The electromagnetic and gravitational potentials are assumed to be sums of potentials of the background and of the wave. In the limit of weak and short wave, the wave potentials can be separated uniquely from the curved background potentials. When an electromagnetic field exists, the energy current densities of two waves may change along a ray, while the total current density remains constant along it. The differential equations governing the interaction of the two waves are identical with the equations derived from the theory of singular surface.