R. A. Day, G. Vajente, M. Kasprzack, and J. Marque, “Reduction of higher order mode generation in large scale gravitational wave interferometers by central heating residual aberration correction (CHRAC),” Phys. Rev. D 87, 082003 (2013).

[CrossRef]

G. Vajente and R. A. Day, “Adaptive optics sensing and control technique to optimize the resonance of the Laguerre–Gauss 33 mode in Fabry–Perot cavities,” Phys. Rev. D 87, 122005 (2013).

[CrossRef]

A. Haber, A. Polo, S. Ravensbergen, H. P. Urbach, and M. Verhaegen, “Identification of a dynamical model of a thermally actuated deformable mirror,” Opt. Lett. 38, 3061–3064 (2013).

[CrossRef]

A. Rocchi, E. Coccia, V. Fafone, V. Malvezzi, Y. Minenkov, and L. Sperandio, “Thermal effects and their compensation in Advanced Virgo,” J. Phys. Conf. Ser. 363, 012016 (2012).

[CrossRef]

K. Kuroda, “Large-scale gravitational wave telescope (LCGT),” Int. J. Mod. Phys. D 20, 1755–1770 (2011).

T. Hong, J. Miller, H. Yamamoto, Y. Chen, and R. Adhikari, “Effects of mirror aberrations on Laguerre–Gaussian beams in interferometric gravitational-wave detectors,” Phys. Rev. D 84, 102001 (2011).

[CrossRef]

G. M. Harry, for the LIGO Scientific Collaboration, “Advanced LIGO: the next generation of gravitational wave detectors,” Class. Quant. Grav. 27, 084006 (2010).

[CrossRef]

P. Purdue and Y. Chen, “Practical speed meter designs for quantum nondemolition gravitational-wave interferometers,” Phys. Rev. D 66, 122004 (2002).

[CrossRef]

M. Ando, K. Arai, K. Kawabe, and K. Tsubono, “Demonstration of power recycling on a Fabry–Perot-type prototype gravitational wave detector,” Phys. Lett. A 248, 145–150 (1998).

[CrossRef]

M. Morari, C. E. Garcia, and D. M. Prett, “Model predictive control: theory and practice a survey,” Automatica 25, 335–348 (1989).

[CrossRef]

T. Hong, J. Miller, H. Yamamoto, Y. Chen, and R. Adhikari, “Effects of mirror aberrations on Laguerre–Gaussian beams in interferometric gravitational-wave detectors,” Phys. Rev. D 84, 102001 (2011).

[CrossRef]

M. Ando, K. Arai, K. Kawabe, and K. Tsubono, “Demonstration of power recycling on a Fabry–Perot-type prototype gravitational wave detector,” Phys. Lett. A 248, 145–150 (1998).

[CrossRef]

M. Ando, K. Arai, K. Kawabe, and K. Tsubono, “Demonstration of power recycling on a Fabry–Perot-type prototype gravitational wave detector,” Phys. Lett. A 248, 145–150 (1998).

[CrossRef]

T. Hong, J. Miller, H. Yamamoto, Y. Chen, and R. Adhikari, “Effects of mirror aberrations on Laguerre–Gaussian beams in interferometric gravitational-wave detectors,” Phys. Rev. D 84, 102001 (2011).

[CrossRef]

P. Purdue and Y. Chen, “Practical speed meter designs for quantum nondemolition gravitational-wave interferometers,” Phys. Rev. D 66, 122004 (2002).

[CrossRef]

A. Rocchi, E. Coccia, V. Fafone, V. Malvezzi, Y. Minenkov, and L. Sperandio, “Thermal effects and their compensation in Advanced Virgo,” J. Phys. Conf. Ser. 363, 012016 (2012).

[CrossRef]

G. Vajente and R. A. Day, “Adaptive optics sensing and control technique to optimize the resonance of the Laguerre–Gauss 33 mode in Fabry–Perot cavities,” Phys. Rev. D 87, 122005 (2013).

[CrossRef]

R. A. Day, G. Vajente, M. Kasprzack, and J. Marque, “Reduction of higher order mode generation in large scale gravitational wave interferometers by central heating residual aberration correction (CHRAC),” Phys. Rev. D 87, 082003 (2013).

[CrossRef]

A. Rocchi, E. Coccia, V. Fafone, V. Malvezzi, Y. Minenkov, and L. Sperandio, “Thermal effects and their compensation in Advanced Virgo,” J. Phys. Conf. Ser. 363, 012016 (2012).

[CrossRef]

M. Morari, C. E. Garcia, and D. M. Prett, “Model predictive control: theory and practice a survey,” Automatica 25, 335–348 (1989).

[CrossRef]

G. M. Harry, for the LIGO Scientific Collaboration, “Advanced LIGO: the next generation of gravitational wave detectors,” Class. Quant. Grav. 27, 084006 (2010).

[CrossRef]

T. Hong, J. Miller, H. Yamamoto, Y. Chen, and R. Adhikari, “Effects of mirror aberrations on Laguerre–Gaussian beams in interferometric gravitational-wave detectors,” Phys. Rev. D 84, 102001 (2011).

[CrossRef]

R. A. Day, G. Vajente, M. Kasprzack, and J. Marque, “Reduction of higher order mode generation in large scale gravitational wave interferometers by central heating residual aberration correction (CHRAC),” Phys. Rev. D 87, 082003 (2013).

[CrossRef]

M. Ando, K. Arai, K. Kawabe, and K. Tsubono, “Demonstration of power recycling on a Fabry–Perot-type prototype gravitational wave detector,” Phys. Lett. A 248, 145–150 (1998).

[CrossRef]

K. Kuroda, “Large-scale gravitational wave telescope (LCGT),” Int. J. Mod. Phys. D 20, 1755–1770 (2011).

A. Rocchi, E. Coccia, V. Fafone, V. Malvezzi, Y. Minenkov, and L. Sperandio, “Thermal effects and their compensation in Advanced Virgo,” J. Phys. Conf. Ser. 363, 012016 (2012).

[CrossRef]

R. A. Day, G. Vajente, M. Kasprzack, and J. Marque, “Reduction of higher order mode generation in large scale gravitational wave interferometers by central heating residual aberration correction (CHRAC),” Phys. Rev. D 87, 082003 (2013).

[CrossRef]

T. Hong, J. Miller, H. Yamamoto, Y. Chen, and R. Adhikari, “Effects of mirror aberrations on Laguerre–Gaussian beams in interferometric gravitational-wave detectors,” Phys. Rev. D 84, 102001 (2011).

[CrossRef]

A. Rocchi, E. Coccia, V. Fafone, V. Malvezzi, Y. Minenkov, and L. Sperandio, “Thermal effects and their compensation in Advanced Virgo,” J. Phys. Conf. Ser. 363, 012016 (2012).

[CrossRef]

M. Morari, C. E. Garcia, and D. M. Prett, “Model predictive control: theory and practice a survey,” Automatica 25, 335–348 (1989).

[CrossRef]

M. Morari, C. E. Garcia, and D. M. Prett, “Model predictive control: theory and practice a survey,” Automatica 25, 335–348 (1989).

[CrossRef]

P. Purdue and Y. Chen, “Practical speed meter designs for quantum nondemolition gravitational-wave interferometers,” Phys. Rev. D 66, 122004 (2002).

[CrossRef]

A. Rocchi, E. Coccia, V. Fafone, V. Malvezzi, Y. Minenkov, and L. Sperandio, “Thermal effects and their compensation in Advanced Virgo,” J. Phys. Conf. Ser. 363, 012016 (2012).

[CrossRef]

E. Siegman, Lasers (University Science, 1986).

A. Rocchi, E. Coccia, V. Fafone, V. Malvezzi, Y. Minenkov, and L. Sperandio, “Thermal effects and their compensation in Advanced Virgo,” J. Phys. Conf. Ser. 363, 012016 (2012).

[CrossRef]

M. Ando, K. Arai, K. Kawabe, and K. Tsubono, “Demonstration of power recycling on a Fabry–Perot-type prototype gravitational wave detector,” Phys. Lett. A 248, 145–150 (1998).

[CrossRef]

R. A. Day, G. Vajente, M. Kasprzack, and J. Marque, “Reduction of higher order mode generation in large scale gravitational wave interferometers by central heating residual aberration correction (CHRAC),” Phys. Rev. D 87, 082003 (2013).

[CrossRef]

G. Vajente and R. A. Day, “Adaptive optics sensing and control technique to optimize the resonance of the Laguerre–Gauss 33 mode in Fabry–Perot cavities,” Phys. Rev. D 87, 122005 (2013).

[CrossRef]

T. Hong, J. Miller, H. Yamamoto, Y. Chen, and R. Adhikari, “Effects of mirror aberrations on Laguerre–Gaussian beams in interferometric gravitational-wave detectors,” Phys. Rev. D 84, 102001 (2011).

[CrossRef]

M. Morari, C. E. Garcia, and D. M. Prett, “Model predictive control: theory and practice a survey,” Automatica 25, 335–348 (1989).

[CrossRef]

G. M. Harry, for the LIGO Scientific Collaboration, “Advanced LIGO: the next generation of gravitational wave detectors,” Class. Quant. Grav. 27, 084006 (2010).

[CrossRef]

K. Kuroda, “Large-scale gravitational wave telescope (LCGT),” Int. J. Mod. Phys. D 20, 1755–1770 (2011).

A. Rocchi, E. Coccia, V. Fafone, V. Malvezzi, Y. Minenkov, and L. Sperandio, “Thermal effects and their compensation in Advanced Virgo,” J. Phys. Conf. Ser. 363, 012016 (2012).

[CrossRef]

M. Ando, K. Arai, K. Kawabe, and K. Tsubono, “Demonstration of power recycling on a Fabry–Perot-type prototype gravitational wave detector,” Phys. Lett. A 248, 145–150 (1998).

[CrossRef]

G. Vajente and R. A. Day, “Adaptive optics sensing and control technique to optimize the resonance of the Laguerre–Gauss 33 mode in Fabry–Perot cavities,” Phys. Rev. D 87, 122005 (2013).

[CrossRef]

T. Hong, J. Miller, H. Yamamoto, Y. Chen, and R. Adhikari, “Effects of mirror aberrations on Laguerre–Gaussian beams in interferometric gravitational-wave detectors,” Phys. Rev. D 84, 102001 (2011).

[CrossRef]

P. Purdue and Y. Chen, “Practical speed meter designs for quantum nondemolition gravitational-wave interferometers,” Phys. Rev. D 66, 122004 (2002).

[CrossRef]

R. A. Day, G. Vajente, M. Kasprzack, and J. Marque, “Reduction of higher order mode generation in large scale gravitational wave interferometers by central heating residual aberration correction (CHRAC),” Phys. Rev. D 87, 082003 (2013).

[CrossRef]

E. Siegman, Lasers (University Science, 1986).

The Virgo Collaboration, “Advanced Virgo Baseline Design,” VIR-027A-09, https://tds.ego-gw.it/ql/?c=6589 .