J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

P. Beyersdorf, S. Zappe, M. M. Fejer, and M. Burkhardt, "Cavity with a deformable mirror for tailoring the shape of the eigenmode," Appl. Opt. 45, 6723-6728 (2006).

[CrossRef]
[PubMed]

S. Avino, E. Calloni, L. Milano, L. Di Fiore, R. De Rosa, and A. Tierno, "Generation of non-Gaussian flat laser beams," Phys. Lett. A 355, 258-261 (2006).

[CrossRef]

M. G. Tarallo, "Experimental study of a non Gaussian optical resonator to reduce mirror thermal noise for graviatational waves detectors," Ph.D. disseration (University of Pisa, 2005), e-Print LIGO-P050032-00-R, http://docuserv.ligo.caltech.edu/.

J. Agresti and R. DeSalvo, "Flat beam profile to depress thermal noise," presented at Aspen Winter Conference on Gravitational Waves, Gravitational Wave Advanced Detectors Workshop (GWADW), Aspen, Colo., USA, 16-22 January 2005, e-Print LIGO-G050041-00-Z, http://docuserv.ligo.caltech.edu/.

J.-Y. Vinet, "Mirror thermal noise in flat-beam cavities for advanced gravitational wave interferometers," Class. Quantum Grav. 22, 1395-1404 (2005).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, K. Thorne, P. Willems, S. Strigin, and S. Vyatchanin, "Advanced LIGO: non-Gaussian beams," Class. Quantum Grav. 21, S867-S873 (2004).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, S. Strigin, K. S. Thorne, and S. Vyatchanin, "Reducing thermoelastic noise in gravitational-wave interferometers by flattening the light beams," *arXiv.org e-Print archive*, gr-qc/0409075, 2004, http://arxiv.org/archive/gr-qc.

R. O'Shaughnessy, S. Strigin, and S. Vyatchanin, "The implications of Mexican-hat mirrors: calculations of thermoelastic noise and interferometer sensitivity to perturbation for the Mexican-hat-mirror proposal for advanced LIGO," arXiv.org e-Print archive, gr-qc/0409050, 2004, http://arxiv.org/archive/gr-qc.

E. D'Ambrosio, "Non-spherical mirrors to reduce thermoelastic noise in advanced gravity wave interferometers," Phys. Rev. D 67, 102004 (2003).

[CrossRef]

G. Cella, R. DeSalvo, V. Sannibale, H. Tariq, N. Viboud, and A. Takamori, "Seismic attenuation performance of the first prototype of a geometric anti-spring filter," Nucl. Instrum. Methods Phys. Res. A 487, 652-660 (2002).

[CrossRef]

S. Makki and J. Leger, "Solid-state laser resonators with diffractive optic thermal aberration correction," IEEE J. Quantum Electron. 35, 1075-1085 (1999).

[CrossRef]

M. Born and E. Wolf, *Principles of Optics*, 7th ed. (Cambridge U. Press, 1999).

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

J. Agresti and R. DeSalvo, "Flat beam profile to depress thermal noise," presented at Aspen Winter Conference on Gravitational Waves, Gravitational Wave Advanced Detectors Workshop (GWADW), Aspen, Colo., USA, 16-22 January 2005, e-Print LIGO-G050041-00-Z, http://docuserv.ligo.caltech.edu/.

S. Avino, E. Calloni, L. Milano, L. Di Fiore, R. De Rosa, and A. Tierno, "Generation of non-Gaussian flat laser beams," Phys. Lett. A 355, 258-261 (2006).

[CrossRef]

M. Born and E. Wolf, *Principles of Optics*, 7th ed. (Cambridge U. Press, 1999).

S. Avino, E. Calloni, L. Milano, L. Di Fiore, R. De Rosa, and A. Tierno, "Generation of non-Gaussian flat laser beams," Phys. Lett. A 355, 258-261 (2006).

[CrossRef]

G. Cella, R. DeSalvo, V. Sannibale, H. Tariq, N. Viboud, and A. Takamori, "Seismic attenuation performance of the first prototype of a geometric anti-spring filter," Nucl. Instrum. Methods Phys. Res. A 487, 652-660 (2002).

[CrossRef]

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, K. Thorne, P. Willems, S. Strigin, and S. Vyatchanin, "Advanced LIGO: non-Gaussian beams," Class. Quantum Grav. 21, S867-S873 (2004).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, S. Strigin, K. S. Thorne, and S. Vyatchanin, "Reducing thermoelastic noise in gravitational-wave interferometers by flattening the light beams," *arXiv.org e-Print archive*, gr-qc/0409075, 2004, http://arxiv.org/archive/gr-qc.

E. D'Ambrosio, "Non-spherical mirrors to reduce thermoelastic noise in advanced gravity wave interferometers," Phys. Rev. D 67, 102004 (2003).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, S. Strigin, K. Thorne, and S. Vyatchanin, "Status report on Mexican-hat flat-topped beams for advanced LIGO," LIGO Tech. Note T-030009-00, http://docuserv.ligo.caltech.edu/.

S. Avino, E. Calloni, L. Milano, L. Di Fiore, R. De Rosa, and A. Tierno, "Generation of non-Gaussian flat laser beams," Phys. Lett. A 355, 258-261 (2006).

[CrossRef]

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

J. Agresti and R. DeSalvo, "Flat beam profile to depress thermal noise," presented at Aspen Winter Conference on Gravitational Waves, Gravitational Wave Advanced Detectors Workshop (GWADW), Aspen, Colo., USA, 16-22 January 2005, e-Print LIGO-G050041-00-Z, http://docuserv.ligo.caltech.edu/.

G. Cella, R. DeSalvo, V. Sannibale, H. Tariq, N. Viboud, and A. Takamori, "Seismic attenuation performance of the first prototype of a geometric anti-spring filter," Nucl. Instrum. Methods Phys. Res. A 487, 652-660 (2002).

[CrossRef]

S. Avino, E. Calloni, L. Milano, L. Di Fiore, R. De Rosa, and A. Tierno, "Generation of non-Gaussian flat laser beams," Phys. Lett. A 355, 258-261 (2006).

[CrossRef]

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

P. Fritschel, "Advanced LIGO systems design," LIGO Tech. Note T-010075-00-D, http://docuserv.ligo.caltech.edu/.

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

S. Makki and J. Leger, "Solid-state laser resonators with diffractive optic thermal aberration correction," IEEE J. Quantum Electron. 35, 1075-1085 (1999).

[CrossRef]

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

S. Makki and J. Leger, "Solid-state laser resonators with diffractive optic thermal aberration correction," IEEE J. Quantum Electron. 35, 1075-1085 (1999).

[CrossRef]

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

S. Avino, E. Calloni, L. Milano, L. Di Fiore, R. De Rosa, and A. Tierno, "Generation of non-Gaussian flat laser beams," Phys. Lett. A 355, 258-261 (2006).

[CrossRef]

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, K. Thorne, P. Willems, S. Strigin, and S. Vyatchanin, "Advanced LIGO: non-Gaussian beams," Class. Quantum Grav. 21, S867-S873 (2004).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, S. Strigin, K. S. Thorne, and S. Vyatchanin, "Reducing thermoelastic noise in gravitational-wave interferometers by flattening the light beams," *arXiv.org e-Print archive*, gr-qc/0409075, 2004, http://arxiv.org/archive/gr-qc.

R. O'Shaughnessy, S. Strigin, and S. Vyatchanin, "The implications of Mexican-hat mirrors: calculations of thermoelastic noise and interferometer sensitivity to perturbation for the Mexican-hat-mirror proposal for advanced LIGO," arXiv.org e-Print archive, gr-qc/0409050, 2004, http://arxiv.org/archive/gr-qc.

E. D'Ambrosio, R. O'Shaughnessy, S. Strigin, K. Thorne, and S. Vyatchanin, "Status report on Mexican-hat flat-topped beams for advanced LIGO," LIGO Tech. Note T-030009-00, http://docuserv.ligo.caltech.edu/.

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

G. Cella, R. DeSalvo, V. Sannibale, H. Tariq, N. Viboud, and A. Takamori, "Seismic attenuation performance of the first prototype of a geometric anti-spring filter," Nucl. Instrum. Methods Phys. Res. A 487, 652-660 (2002).

[CrossRef]

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, K. Thorne, P. Willems, S. Strigin, and S. Vyatchanin, "Advanced LIGO: non-Gaussian beams," Class. Quantum Grav. 21, S867-S873 (2004).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, S. Strigin, K. S. Thorne, and S. Vyatchanin, "Reducing thermoelastic noise in gravitational-wave interferometers by flattening the light beams," *arXiv.org e-Print archive*, gr-qc/0409075, 2004, http://arxiv.org/archive/gr-qc.

R. O'Shaughnessy, S. Strigin, and S. Vyatchanin, "The implications of Mexican-hat mirrors: calculations of thermoelastic noise and interferometer sensitivity to perturbation for the Mexican-hat-mirror proposal for advanced LIGO," arXiv.org e-Print archive, gr-qc/0409050, 2004, http://arxiv.org/archive/gr-qc.

E. D'Ambrosio, R. O'Shaughnessy, S. Strigin, K. Thorne, and S. Vyatchanin, "Status report on Mexican-hat flat-topped beams for advanced LIGO," LIGO Tech. Note T-030009-00, http://docuserv.ligo.caltech.edu/.

G. Cella, R. DeSalvo, V. Sannibale, H. Tariq, N. Viboud, and A. Takamori, "Seismic attenuation performance of the first prototype of a geometric anti-spring filter," Nucl. Instrum. Methods Phys. Res. A 487, 652-660 (2002).

[CrossRef]

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

M. G. Tarallo, "Experimental study of a non Gaussian optical resonator to reduce mirror thermal noise for graviatational waves detectors," Ph.D. disseration (University of Pisa, 2005), e-Print LIGO-P050032-00-R, http://docuserv.ligo.caltech.edu/.

G. Cella, R. DeSalvo, V. Sannibale, H. Tariq, N. Viboud, and A. Takamori, "Seismic attenuation performance of the first prototype of a geometric anti-spring filter," Nucl. Instrum. Methods Phys. Res. A 487, 652-660 (2002).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, K. Thorne, P. Willems, S. Strigin, and S. Vyatchanin, "Advanced LIGO: non-Gaussian beams," Class. Quantum Grav. 21, S867-S873 (2004).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, S. Strigin, K. Thorne, and S. Vyatchanin, "Status report on Mexican-hat flat-topped beams for advanced LIGO," LIGO Tech. Note T-030009-00, http://docuserv.ligo.caltech.edu/.

E. D'Ambrosio, R. O'Shaughnessy, S. Strigin, K. S. Thorne, and S. Vyatchanin, "Reducing thermoelastic noise in gravitational-wave interferometers by flattening the light beams," *arXiv.org e-Print archive*, gr-qc/0409075, 2004, http://arxiv.org/archive/gr-qc.

S. Avino, E. Calloni, L. Milano, L. Di Fiore, R. De Rosa, and A. Tierno, "Generation of non-Gaussian flat laser beams," Phys. Lett. A 355, 258-261 (2006).

[CrossRef]

G. Cella, R. DeSalvo, V. Sannibale, H. Tariq, N. Viboud, and A. Takamori, "Seismic attenuation performance of the first prototype of a geometric anti-spring filter," Nucl. Instrum. Methods Phys. Res. A 487, 652-660 (2002).

[CrossRef]

J.-Y. Vinet, "Mirror thermal noise in flat-beam cavities for advanced gravitational wave interferometers," Class. Quantum Grav. 22, 1395-1404 (2005).

[CrossRef]

R. O'Shaughnessy, S. Strigin, and S. Vyatchanin, "The implications of Mexican-hat mirrors: calculations of thermoelastic noise and interferometer sensitivity to perturbation for the Mexican-hat-mirror proposal for advanced LIGO," arXiv.org e-Print archive, gr-qc/0409050, 2004, http://arxiv.org/archive/gr-qc.

E. D'Ambrosio, R. O'Shaughnessy, S. Strigin, K. S. Thorne, and S. Vyatchanin, "Reducing thermoelastic noise in gravitational-wave interferometers by flattening the light beams," *arXiv.org e-Print archive*, gr-qc/0409075, 2004, http://arxiv.org/archive/gr-qc.

E. D'Ambrosio, R. O'Shaughnessy, K. Thorne, P. Willems, S. Strigin, and S. Vyatchanin, "Advanced LIGO: non-Gaussian beams," Class. Quantum Grav. 21, S867-S873 (2004).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, S. Strigin, K. Thorne, and S. Vyatchanin, "Status report on Mexican-hat flat-topped beams for advanced LIGO," LIGO Tech. Note T-030009-00, http://docuserv.ligo.caltech.edu/.

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, K. Thorne, P. Willems, S. Strigin, and S. Vyatchanin, "Advanced LIGO: non-Gaussian beams," Class. Quantum Grav. 21, S867-S873 (2004).

[CrossRef]

M. Born and E. Wolf, *Principles of Optics*, 7th ed. (Cambridge U. Press, 1999).

P. Beyersdorf, S. Zappe, M. M. Fejer, and M. Burkhardt, "Cavity with a deformable mirror for tailoring the shape of the eigenmode," Appl. Opt. 45, 6723-6728 (2006).

[CrossRef]
[PubMed]

J. M. Spinhirne, D. Anafi, R. H. Freeman, and H. R. Garcia, "Intracavity adaptive optics. 1: Astigmatism correction performance," Appl. Opt. 20, 976-984 (1981).

[CrossRef]
[PubMed]

J.-Y. Vinet, "Mirror thermal noise in flat-beam cavities for advanced gravitational wave interferometers," Class. Quantum Grav. 22, 1395-1404 (2005).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, K. Thorne, P. Willems, S. Strigin, and S. Vyatchanin, "Advanced LIGO: non-Gaussian beams," Class. Quantum Grav. 21, S867-S873 (2004).

[CrossRef]

S. Makki and J. Leger, "Solid-state laser resonators with diffractive optic thermal aberration correction," IEEE J. Quantum Electron. 35, 1075-1085 (1999).

[CrossRef]

J. Agresti, E. D'Ambrosio, R. DeSalvo, D. Forest, B. Lagrange, J. M. Mackowski, C. Michel, J. L. Montorio, N. Morgado, L. Pinard, A. Remillieux, B. Simoni, M. Tarallo, and P. Willems, "Design and construction of a prototype of a flat top beam interferometer and initial tests," J. Phys.: Conf. Ser. 32, 301-308 (2006).

[CrossRef]

G. Cella, R. DeSalvo, V. Sannibale, H. Tariq, N. Viboud, and A. Takamori, "Seismic attenuation performance of the first prototype of a geometric anti-spring filter," Nucl. Instrum. Methods Phys. Res. A 487, 652-660 (2002).

[CrossRef]

S. Avino, E. Calloni, L. Milano, L. Di Fiore, R. De Rosa, and A. Tierno, "Generation of non-Gaussian flat laser beams," Phys. Lett. A 355, 258-261 (2006).

[CrossRef]

E. D'Ambrosio, "Non-spherical mirrors to reduce thermoelastic noise in advanced gravity wave interferometers," Phys. Rev. D 67, 102004 (2003).

[CrossRef]

E. D'Ambrosio, R. O'Shaughnessy, S. Strigin, K. S. Thorne, and S. Vyatchanin, "Reducing thermoelastic noise in gravitational-wave interferometers by flattening the light beams," *arXiv.org e-Print archive*, gr-qc/0409075, 2004, http://arxiv.org/archive/gr-qc.

R. O'Shaughnessy, S. Strigin, and S. Vyatchanin, "The implications of Mexican-hat mirrors: calculations of thermoelastic noise and interferometer sensitivity to perturbation for the Mexican-hat-mirror proposal for advanced LIGO," arXiv.org e-Print archive, gr-qc/0409050, 2004, http://arxiv.org/archive/gr-qc.

E. D'Ambrosio, R. O'Shaughnessy, S. Strigin, K. Thorne, and S. Vyatchanin, "Status report on Mexican-hat flat-topped beams for advanced LIGO," LIGO Tech. Note T-030009-00, http://docuserv.ligo.caltech.edu/.

J. Agresti and R. DeSalvo, "Flat beam profile to depress thermal noise," presented at Aspen Winter Conference on Gravitational Waves, Gravitational Wave Advanced Detectors Workshop (GWADW), Aspen, Colo., USA, 16-22 January 2005, e-Print LIGO-G050041-00-Z, http://docuserv.ligo.caltech.edu/.

M. G. Tarallo, "Experimental study of a non Gaussian optical resonator to reduce mirror thermal noise for graviatational waves detectors," Ph.D. disseration (University of Pisa, 2005), e-Print LIGO-P050032-00-R, http://docuserv.ligo.caltech.edu/.

M. Born and E. Wolf, *Principles of Optics*, 7th ed. (Cambridge U. Press, 1999).

P. Fritschel, "Advanced LIGO systems design," LIGO Tech. Note T-010075-00-D, http://docuserv.ligo.caltech.edu/.