A. Agrawal, R. Chellappa, and R. Raskar, “An algebraic approach to surface reconstruction from gradient fields,” in Proceedings of Tenth IEEE International Conference on Computer Vision (IEEE, 2005), 174–181.

V. M. Murukeshan, O. Lin Seng, and A. Asundi, “Polarization phase shifting shearography for optical metrological applications,” Opt. Laser Technol. 30, 527–531 (1998).

[CrossRef]

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, “Thermal compensation system description,” LIGO-T050064-00-R (2005).

P. P. Lu, A. L. Bullington, P. Beyersdorf, S. Traeger, J. Mansell, R. Beausoleil, E. K. Gustafson, R. L. Byer, and M. M. Fejer, “Wavefront distortion of the reflected and diffracted beams produced by the thermoelastic deformation of a diffraction grating heated by a Gaussian laser beam,” J. Opt. Soc. Am. A 24, 659–668 (2007).

[CrossRef]

P. P. Lu, A. L. Bullington, P. Beyersdorf, S. Traeger, J. Mansell, R. Beausoleil, E. K. Gustafson, R. L. Byer, and M. M. Fejer, “Wavefront distortion of the reflected and diffracted beams produced by the thermoelastic deformation of a diffraction grating heated by a Gaussian laser beam,” J. Opt. Soc. Am. A 24, 659–668 (2007).

[CrossRef]

M. Flanigan and G. Billingsley, “Advanced LIGO input test mass (ITM),” LIGO-E080511-V3-D (2008).

A. F. Brooks, “Hartmann wavefront sensors for advanced gravitational wave interferometers,” Ph.D. thesis (University of Adelaide, 2007).

P. P. Lu, A. L. Bullington, P. Beyersdorf, S. Traeger, J. Mansell, R. Beausoleil, E. K. Gustafson, R. L. Byer, and M. M. Fejer, “Wavefront distortion of the reflected and diffracted beams produced by the thermoelastic deformation of a diffraction grating heated by a Gaussian laser beam,” J. Opt. Soc. Am. A 24, 659–668 (2007).

[CrossRef]

P. P. Lu, A. L. Bullington, P. Beyersdorf, S. Traeger, J. Mansell, R. Beausoleil, E. K. Gustafson, R. L. Byer, and M. M. Fejer, “Wavefront distortion of the reflected and diffracted beams produced by the thermoelastic deformation of a diffraction grating heated by a Gaussian laser beam,” J. Opt. Soc. Am. A 24, 659–668 (2007).

[CrossRef]

A. Agrawal, R. Chellappa, and R. Raskar, “An algebraic approach to surface reconstruction from gradient fields,” in Proceedings of Tenth IEEE International Conference on Computer Vision (IEEE, 2005), 174–181.

W. Winkler, K. Danzmann, A. Rudiger, and R. Schilling, “Heating by optical absorption and the performance of interferometric gravitational-wave detectors,” Phys. Rev. A 44, 7022–7036 (1991).

[CrossRef]

P. P. Lu, A. L. Bullington, P. Beyersdorf, S. Traeger, J. Mansell, R. Beausoleil, E. K. Gustafson, R. L. Byer, and M. M. Fejer, “Wavefront distortion of the reflected and diffracted beams produced by the thermoelastic deformation of a diffraction grating heated by a Gaussian laser beam,” J. Opt. Soc. Am. A 24, 659–668 (2007).

[CrossRef]

M. Flanigan and G. Billingsley, “Advanced LIGO input test mass (ITM),” LIGO-E080511-V3-D (2008).

G. R. Fowels, Introduction to Modern Optics, 2nd ed. (Dover, 1975).

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, “Thermal compensation system description,” LIGO-T050064-00-R (2005).

D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software (Wiley, 1998), MATLAB code posted by Bruce Spottiswoode.

P. P. Lu, A. L. Bullington, P. Beyersdorf, S. Traeger, J. Mansell, R. Beausoleil, E. K. Gustafson, R. L. Byer, and M. M. Fejer, “Wavefront distortion of the reflected and diffracted beams produced by the thermoelastic deformation of a diffraction grating heated by a Gaussian laser beam,” J. Opt. Soc. Am. A 24, 659–668 (2007).

[CrossRef]

V. Rosso, L. Zhang, F. Michel, Y. Renotte, Y. Lion, and A.-M. Habraken, “Out-of-plane displacement derivative measurement: comparison of results obtained by a shearographic interferometer using the separation of the polarization states and the finite element method,” Proc. SPIE 6343, 634327 (2006).

[CrossRef]

G. Harry, “Advanced LIGO test masses and core optics,” LIGO-G1000098 (2010).

P. Hello and J. Y. Vinet, “Analytical models of transient thermoelastic deformations of mirrors heated by high power cw laser beams,” French J. Phys. 51, 2243–2261 (1990).

[CrossRef]

P. Hello and J. Y. Vinet, “Analytical models of thermal aberrations in massive mirrors heated by high power laser beams,” French J. Phys. 51, 1267–1282 (1990).

[CrossRef]

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, “Thermal compensation system description,” LIGO-T050064-00-R (2005).

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, “Thermal compensation system description,” LIGO-T050064-00-R (2005).

V. M. Murukeshan, O. Lin Seng, and A. Asundi, “Polarization phase shifting shearography for optical metrological applications,” Opt. Laser Technol. 30, 527–531 (1998).

[CrossRef]

V. Rosso, L. Zhang, F. Michel, Y. Renotte, Y. Lion, and A.-M. Habraken, “Out-of-plane displacement derivative measurement: comparison of results obtained by a shearographic interferometer using the separation of the polarization states and the finite element method,” Proc. SPIE 6343, 634327 (2006).

[CrossRef]

P. P. Lu, A. L. Bullington, P. Beyersdorf, S. Traeger, J. Mansell, R. Beausoleil, E. K. Gustafson, R. L. Byer, and M. M. Fejer, “Wavefront distortion of the reflected and diffracted beams produced by the thermoelastic deformation of a diffraction grating heated by a Gaussian laser beam,” J. Opt. Soc. Am. A 24, 659–668 (2007).

[CrossRef]

P. P. Lu, A. L. Bullington, P. Beyersdorf, S. Traeger, J. Mansell, R. Beausoleil, E. K. Gustafson, R. L. Byer, and M. M. Fejer, “Wavefront distortion of the reflected and diffracted beams produced by the thermoelastic deformation of a diffraction grating heated by a Gaussian laser beam,” J. Opt. Soc. Am. A 24, 659–668 (2007).

[CrossRef]

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, “Thermal compensation system description,” LIGO-T050064-00-R (2005).

V. Rosso, L. Zhang, F. Michel, Y. Renotte, Y. Lion, and A.-M. Habraken, “Out-of-plane displacement derivative measurement: comparison of results obtained by a shearographic interferometer using the separation of the polarization states and the finite element method,” Proc. SPIE 6343, 634327 (2006).

[CrossRef]

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, “Thermal compensation system description,” LIGO-T050064-00-R (2005).

V. M. Murukeshan, O. Lin Seng, and A. Asundi, “Polarization phase shifting shearography for optical metrological applications,” Opt. Laser Technol. 30, 527–531 (1998).

[CrossRef]

D. N. Nikogosyan, “Beta barium borate (BBO) a review of its properties and applications,” Appl. Phys. A 52, 359–368 (1991).

[CrossRef]

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, “Thermal compensation system description,” LIGO-T050064-00-R (2005).

D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software (Wiley, 1998), MATLAB code posted by Bruce Spottiswoode.

A. Agrawal, R. Chellappa, and R. Raskar, “An algebraic approach to surface reconstruction from gradient fields,” in Proceedings of Tenth IEEE International Conference on Computer Vision (IEEE, 2005), 174–181.

V. Rosso, L. Zhang, F. Michel, Y. Renotte, Y. Lion, and A.-M. Habraken, “Out-of-plane displacement derivative measurement: comparison of results obtained by a shearographic interferometer using the separation of the polarization states and the finite element method,” Proc. SPIE 6343, 634327 (2006).

[CrossRef]

V. Rosso, L. Zhang, F. Michel, Y. Renotte, Y. Lion, and A.-M. Habraken, “Out-of-plane displacement derivative measurement: comparison of results obtained by a shearographic interferometer using the separation of the polarization states and the finite element method,” Proc. SPIE 6343, 634327 (2006).

[CrossRef]

W. Winkler, K. Danzmann, A. Rudiger, and R. Schilling, “Heating by optical absorption and the performance of interferometric gravitational-wave detectors,” Phys. Rev. A 44, 7022–7036 (1991).

[CrossRef]

W. Winkler, K. Danzmann, A. Rudiger, and R. Schilling, “Heating by optical absorption and the performance of interferometric gravitational-wave detectors,” Phys. Rev. A 44, 7022–7036 (1991).

[CrossRef]

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, “Thermal compensation system description,” LIGO-T050064-00-R (2005).

P. P. Lu, A. L. Bullington, P. Beyersdorf, S. Traeger, J. Mansell, R. Beausoleil, E. K. Gustafson, R. L. Byer, and M. M. Fejer, “Wavefront distortion of the reflected and diffracted beams produced by the thermoelastic deformation of a diffraction grating heated by a Gaussian laser beam,” J. Opt. Soc. Am. A 24, 659–668 (2007).

[CrossRef]

P. Hello and J. Y. Vinet, “Analytical models of thermal aberrations in massive mirrors heated by high power laser beams,” French J. Phys. 51, 1267–1282 (1990).

[CrossRef]

P. Hello and J. Y. Vinet, “Analytical models of transient thermoelastic deformations of mirrors heated by high power cw laser beams,” French J. Phys. 51, 2243–2261 (1990).

[CrossRef]

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, “Thermal compensation system description,” LIGO-T050064-00-R (2005).

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, “Thermal compensation system description,” LIGO-T050064-00-R (2005).

W. Winkler, K. Danzmann, A. Rudiger, and R. Schilling, “Heating by optical absorption and the performance of interferometric gravitational-wave detectors,” Phys. Rev. A 44, 7022–7036 (1991).

[CrossRef]

A. Yariv and P. Yeh, Optical Waves in Crystals, Propagation and Control of Laser Radiation (Wiley, 2003).

A. Yariv and P. Yeh, Optical Waves in Crystals, Propagation and Control of Laser Radiation (Wiley, 2003).

V. Rosso, L. Zhang, F. Michel, Y. Renotte, Y. Lion, and A.-M. Habraken, “Out-of-plane displacement derivative measurement: comparison of results obtained by a shearographic interferometer using the separation of the polarization states and the finite element method,” Proc. SPIE 6343, 634327 (2006).

[CrossRef]

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, “Thermal compensation system description,” LIGO-T050064-00-R (2005).

D. N. Nikogosyan, “Beta barium borate (BBO) a review of its properties and applications,” Appl. Phys. A 52, 359–368 (1991).

[CrossRef]

P. Hello and J. Y. Vinet, “Analytical models of thermal aberrations in massive mirrors heated by high power laser beams,” French J. Phys. 51, 1267–1282 (1990).

[CrossRef]

P. Hello and J. Y. Vinet, “Analytical models of transient thermoelastic deformations of mirrors heated by high power cw laser beams,” French J. Phys. 51, 2243–2261 (1990).

[CrossRef]

P. P. Lu, A. L. Bullington, P. Beyersdorf, S. Traeger, J. Mansell, R. Beausoleil, E. K. Gustafson, R. L. Byer, and M. M. Fejer, “Wavefront distortion of the reflected and diffracted beams produced by the thermoelastic deformation of a diffraction grating heated by a Gaussian laser beam,” J. Opt. Soc. Am. A 24, 659–668 (2007).

[CrossRef]

V. M. Murukeshan, O. Lin Seng, and A. Asundi, “Polarization phase shifting shearography for optical metrological applications,” Opt. Laser Technol. 30, 527–531 (1998).

[CrossRef]

W. Winkler, K. Danzmann, A. Rudiger, and R. Schilling, “Heating by optical absorption and the performance of interferometric gravitational-wave detectors,” Phys. Rev. A 44, 7022–7036 (1991).

[CrossRef]

V. Rosso, L. Zhang, F. Michel, Y. Renotte, Y. Lion, and A.-M. Habraken, “Out-of-plane displacement derivative measurement: comparison of results obtained by a shearographic interferometer using the separation of the polarization states and the finite element method,” Proc. SPIE 6343, 634327 (2006).

[CrossRef]

G. R. Fowels, Introduction to Modern Optics, 2nd ed. (Dover, 1975).

A. Yariv and P. Yeh, Optical Waves in Crystals, Propagation and Control of Laser Radiation (Wiley, 2003).

M. Abramowitz and I. A. Stegun, eds. Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables (Dover, 1970).

D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software (Wiley, 1998), MATLAB code posted by Bruce Spottiswoode.

A. Agrawal, R. Chellappa, and R. Raskar, “An algebraic approach to surface reconstruction from gradient fields,” in Proceedings of Tenth IEEE International Conference on Computer Vision (IEEE, 2005), 174–181.

A. F. Brooks, “Hartmann wavefront sensors for advanced gravitational wave interferometers,” Ph.D. thesis (University of Adelaide, 2007).

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, “Thermal compensation system description,” LIGO-T050064-00-R (2005).

G. Harry, “Advanced LIGO test masses and core optics,” LIGO-G1000098 (2010).

M. Flanigan and G. Billingsley, “Advanced LIGO input test mass (ITM),” LIGO-E080511-V3-D (2008).