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1. chinaXiv:201711.02296 [pdf]

Motion of photons in a background of gravitational wave

Zhe Chang; Chao-Guang Huang; Zhi-Chao Zhao
Subjects: Physics >> General Physics: Statistical and Quantum Mechanics, Quantum Information, etc.

The photon motion in a Michelson interferometer is re-analyzed in both geometrical optics and wave optics. The classical paths of the photons in the background of gravitational wave are derived from Fermat principle, which is the same as the null geodesics in general relativity. The deformed Maxwell equations and the wave equations of electric elds in the background of gravitational wave are presented in at-space approximation. Both methods show that the response of an interferometer depends on the frequency of a gravitational wave, however it is almost independent of the frequency of the mirror's vibrations. It implies that the vibrating mirror cannot mimic a gravitational wave very well.

submitted time 2017-11-10 Hits1477Downloads750 Comment 0

2. chinaXiv:201711.02305 [pdf]

Is GW151226 a really signal of gravitational wave?

Zhe Chang; Chao-Guang Huang; Zhi-Chao Zhao
Subjects: Physics >> General Physics: Statistical and Quantum Mechanics, Quantum Information, etc.

Recently, the LIGO Scienti?c Collaboration and Virgo Collaboration published the second observation on gravitational wave GW151226 [Phys. Rev. Lett. 116, 241103 (2016)] from the binary black hole coalescence with initial masses about 14 M and 8 M. They claimed that the peak gravitational strain was reached at about 450 Hz, the inverse of which has been longer than the average time a photon staying in the Fabry-Perot cavities in two arms. In this case, the phase-di?erence of a photon in the two arms due to the propagation of gravitational wave does not always increase as the photon stays in the cavities. It might even be cancelled to zero in extreme cases. When the propagation e?ect is taken into account, we ?nd that the claimed signal GW151226 would almost disappear.

submitted time 2017-11-10 Hits1589Downloads894 Comment 0

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