Measurement of the Phase of Vibrational Displacement by a Laser Interferometer

1969 ◽  
Vol 46 (1A) ◽  
pp. 2-5 ◽  
Author(s):  
M. R. Serbyn ◽  
F. A. Andrews
Keyword(s):  
Laser Interferometer ◽  
Vibrational Displacement

scholarly journals LIGO: the Laser Interferometer Gravitational-Wave Observatory

2009 ◽  
Vol 72 (7) ◽  
pp. 076901 ◽  
Author(s):  
B P Abbott ◽  
R Abbott ◽  
R Adhikari ◽  
P Ajith ◽  
B Allen ◽  
...  
Keyword(s):  
Gravitational Wave ◽  
Laser Interferometer

scholarly journals Analysis of errors in measuring displacement by a laser interferometer used as a feedback sensor precision lathe module feed drive

2021 ◽  
Vol 1889 (5) ◽  
pp. 052039
Author(s):  
A A Ignatiev ◽  
E A Sigitov ◽  
V A Dobryakov ◽  
S A Ignatiev ◽  
A A Kazinsky ◽  
...  
Keyword(s):  
Laser Interferometer ◽  
Feed Drive

scholarly journals Time-delay interferometry

2020 ◽  
Vol 24 (1) ◽  
Author(s):  
Massimo Tinto ◽  
Sanjeev V. Dhurandhar
Keyword(s):  
Time Delay ◽  
Laser Interferometer ◽  
Laser Light ◽  
Space Antenna ◽  
Phase Measurements ◽  
Laser Noise ◽  
Future Space ◽  
Laser Interferometer Space Antenna ◽  
Overall Performance ◽  
Mathematical Foundations

AbstractEqual-arm detectors of gravitational radiation allow phase measurements many orders of magnitude below the intrinsic phase stability of the laser injecting light into their arms. This is because the noise in the laser light is common to both arms, experiencing exactly the same delay, and thus cancels when it is differenced at the photo detector. In this situation, much lower level secondary noises then set the overall performance. If, however, the two arms have different lengths (as will necessarily be the case with space-borne interferometers), the laser noise experiences different delays in the two arms and will hence not directly cancel at the photo detector. To solve this problem, a technique involving heterodyne interferometry with unequal arm lengths and independent phase-difference readouts has been proposed. It relies on properly time-shifting and linearly combining independent Doppler measurements, and for this reason it has been called time-delay interferometry (TDI). This article provides an overview of the theory, mathematical foundations, and experimental aspects associated with the implementation of TDI. Although emphasis on the application of TDI to the Laser Interferometer Space Antenna mission appears throughout this article, TDI can be incorporated into the design of any future space-based mission aiming to search for gravitational waves via interferometric measurements. We have purposely left out all theoretical aspects that data analysts will need to account for when analyzing the TDI data combinations.

scholarly journals Small-Sized Interferometer with Fabry–Perot Resonators for Gravitational Wave Detection

Sensors ◽  
2021 ◽  
Vol 21 (5) ◽  
pp. 1877
Author(s):  
Nikolai Petrov ◽  
Vladislav Pustovoit
Keyword(s):  
Correlation Function ◽  
Gravitational Waves ◽  
Laser Interferometer ◽  
Zero Order ◽  
Wave Detection ◽  
Resonant Modes ◽  
Fabry Perot ◽  
Spatially Distributed ◽  
Wave Laser ◽  
Higher Sensitivity

It is highly desirable to have a compact laser interferometer for detecting gravitational waves. Here, a small-sized tabletop laser interferometer with Fabry–Perot resonators consisting of two spatially distributed “mirrors” for detecting gravitational waves is proposed. It is shown that the spectral resolution of 10−23 cm−1 can be achieved at a distance between mirrors of only 1–3 m. The influence of light absorption in crystals on the limiting resolution of such resonators is also studied. A higher sensitivity of the interferometer to shorter-wave laser radiation is shown. A method for detecting gravitational waves is proposed based on the measurement of the correlation function of the radiation intensities of non-zero-order resonant modes from the two arms of the Mach–Zehnder interferometer.

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