Optical Gravitational Wave Antenna with Increased Power Handling Capability

Abstract

Fundamental sensitivity of an optical interferometric gravitational wave detector increases with increase of the optical power which, in turn, limited because of the opto-mechanical parametric instabilities of the interferometer. We propose to optimize geometrical shape of the mirrors of the detector to reduce the diffraction-limited finesse of unessential optical modes of the interferometer resulting in increase of the threshold of the opto-mechanical instabilities and subsequent increase of the measurement sensitivity. Utilizing parameters of the LIGO interferometer we found that the proposed technique allows constructing a Fabry-Perot interferometer with round trip diffraction loss of the fundamental mode not exceeding $5$~ppm, whereas the loss of the first dipole as well as the other high order modes exceed $1,000$~ppm and $8,000$~ppm, respectively. The optimization comes at the price of tighter tolerances on the mirror tilt stability, but does not result in a significant modification of the optical beam profile and does not require changes in the the gravity detector read-out system. The cavity with proposed mirrors is also stable with respect to the slight modification of the mirror shape.

arXiv comment5 pages, 4 figures

References in corpus (18)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Advanced LIGO
• Characterization of the LIGO detectors during their sixth science run
• Analysis of radiation-pressure induced mechanical oscillation of an optical microcavity
• Parametric Oscillatory Instability in Fabry-Perot (FP) Interferometer
• Analysis of Parametric Oscillatory Instability in Power Recycled LIGO Interferometer
• Observation of Parametric Instability in Advanced LIGO
• Parametric instabilities and their control in advanced interferometer GW detectors
• Opto-mechanics with surface acoustic wave whispering gallery modes
• A General Approach to Optomechanical Parametric Instabilities
• Damping parametric instabilities in future gravitational wave detectors by means of electrostatic actuators
• Analysis of Parametric Oscillatory Instability in Signal Recycled LIGO Interferometer
• Parametric Instability in Long Optical Cavities and Suppression by Dynamic Transverse Mode Frequency Modulation
• Observation of the Three-Mode Parametric Instability
• Resonant Dampers for Parametric Instabilities in Gravitational Wave Detectors
• Stability of Resonant Opto-Mechanical Oscillators
• Status of advanced ground-based laser interferometers for gravitational-wave detection
• Analysis of parametric oscillatory instability in Fabry-Perot cavity with Gauss and Laguerre-Gauss main mode profile

Cited by in corpus (2)

• On fundamental diffraction limitation of finesse of a Fabry-Perot cavity
• Diffraction losses of a Fabry-Perot cavity with nonidentical non-spherical mirrors