"On Special Optical Modes and Thermal Issues in Advanced Gravitational Wave Interferometric Detectors"
by
Jean-Yves Vinet
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Abstract
1
Introduction
2
Modes of Fabry–Pérot Cavities and Readout Beams
2.1
Laguerre–Gauss beams
2.2
Mesa and flat beams
2.3
Other exotic modes
3
Heating and Thermal Effects in the Steady State
3.1
Steady temperature field
3.2
Steady thermal lensing
3.3
Thermal distortions in the steady state
3.4
Expansion on Zernike polynomials
4
On Thermal Compensation Systems
4.1
Heating the rear face of a mirror
4.2
Simple model of a radiator
4.3
Axicon systems
4.4
CO
2
laser compensation by scanning
5
Heating in the Quasistatic Regime: Heating from Cold
5.1
Transient temperature field
5.2
Transient thermal distortions
6
Heating and Thermal Effects in the Dynamic Regime: Transfer Functions
6.1
Temperature fields and thermal lensing
6.2
Equivalent displacement noise
7
Dynamic Surface Distortion
7.1
Dynamic surface distortion caused by coating absorption
8
Brownian Thermal Noise
8.1
The Fluctuation-Dissipation theorem and Levin’s generalized coordinate method
8.2
Infinite mirrors noise in the substrate
8.3
Infinite mirrors, noise in coating
8.4
Finite mirrors
8.5
Coating Brownian thermal noise: finite mirrors
9
Thermoelastic Noise
9.1
Introduction
9.2
Case of infinite mirrors
9.3
Case of finite mirrors
10
Generation of High Order Modes
11
Conclusion
Acknowledgment
References
Figures
Tables