Motion of photons in a gravitational wave background |
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Authors: | Zhe Chang Chao-Guang Huang Zhi-Chao Zhao |
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Affiliation: | 1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China2. School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China |
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Abstract: | Photon motion in a Michelson interferometer is re-analyzed in terms of both geometrical optics and wave optics.The classical paths of the photons in the background of a gravitational wave are derived from the Fermat principle,which is the same as the null geodesics in general relativity.The deformed Maxwell equations and the wave equations of electric fields in the background of a gravitational wave are presented in a flat-space approximation.Both methods show that even the envelope of the response of an interferometer depends on the frequency of a gravitational wave,but it is almost independent of the frequency of the mirror's vibrations. |
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Keywords: | Fermat principle modified Maxwell equations time variation frequency dependency gravitational wave vs mirror swing |
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