Abstract

We present a simple technique to make in situ measurements of the absorption in the optics of high-power laser interferometers. The measurement is particularly useful to those commissioning large-scale high power optical systems.

© 2006 Optical Society of America

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References

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  1. LIGO Scientific Collaboration, Nucl. Instrum. Methods Phys. Res. A 517, 154 (2004).
  2. P. Hello and J. Vinet, J. Phys. (Paris) 51, 1267 (1990).
    [CrossRef]
  3. P. Hello and J. Vinet, J. Phys. (Paris) 51, 2243 (1990).
    [CrossRef]
  4. W. Winkler, K. Danzmann, A. Rüdiger, and R. Schilling, Phys. Rev. A 44, 7022 (1991).
    [CrossRef] [PubMed]
  5. R. Lawrence, D. Ottaway, P. Fritschel and M. Zucker, Opt. Lett. 29, 2635 (2004).
    [CrossRef] [PubMed]
  6. R. C. Lawrence, "Active wavefront correction in laser interferometric gravitational wave detectors," Ph.D. dissertation (Massachusetts Institute of Technology, February 2003), http://www.ligo.caltech.edu/docs/P/P030001-00.pdf
  7. S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, LIGO Internal Doc. No. T050064-00-R (2005), http://www.ligo.caltech.edu/docs/T/T050064-00.pdf.
  8. R. Chow, J. R Taylor, and Z. L Wu, Appl. Opt. 39, 650 (2000).
    [CrossRef]
  9. J. Camp, H. Armandula, S. Bell, G. Billingsley, W. Kells, A. Lazzarini, D. Li, S. Whitcomb, H. Yamamoto, and R. Weiss, in Proceedings of the 2nd TAMA International Workshop on Gravitational Wave Detection, S.Kawamura and N.Mio, eds. (Universal Academy, 2000), p. 279.
  10. R. L. Savage, Jr., M. Rakhmanov, and K. Kawabe are preparing a manuscript, "In situ measurement of thermally induced g factor changes in a kilometer-scale Fabry-Perot cavity."
  11. Laser Cam IIID, Coherent Inc, Santa Clara, Calif. 95054.

2005 (1)

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, LIGO Internal Doc. No. T050064-00-R (2005), http://www.ligo.caltech.edu/docs/T/T050064-00.pdf.

2004 (2)

R. Lawrence, D. Ottaway, P. Fritschel and M. Zucker, Opt. Lett. 29, 2635 (2004).
[CrossRef] [PubMed]

LIGO Scientific Collaboration, Nucl. Instrum. Methods Phys. Res. A 517, 154 (2004).

2003 (1)

R. C. Lawrence, "Active wavefront correction in laser interferometric gravitational wave detectors," Ph.D. dissertation (Massachusetts Institute of Technology, February 2003), http://www.ligo.caltech.edu/docs/P/P030001-00.pdf

2000 (2)

J. Camp, H. Armandula, S. Bell, G. Billingsley, W. Kells, A. Lazzarini, D. Li, S. Whitcomb, H. Yamamoto, and R. Weiss, in Proceedings of the 2nd TAMA International Workshop on Gravitational Wave Detection, S.Kawamura and N.Mio, eds. (Universal Academy, 2000), p. 279.

R. Chow, J. R Taylor, and Z. L Wu, Appl. Opt. 39, 650 (2000).
[CrossRef]

1991 (1)

W. Winkler, K. Danzmann, A. Rüdiger, and R. Schilling, Phys. Rev. A 44, 7022 (1991).
[CrossRef] [PubMed]

1990 (2)

P. Hello and J. Vinet, J. Phys. (Paris) 51, 1267 (1990).
[CrossRef]

P. Hello and J. Vinet, J. Phys. (Paris) 51, 2243 (1990).
[CrossRef]

Armandula, H.

J. Camp, H. Armandula, S. Bell, G. Billingsley, W. Kells, A. Lazzarini, D. Li, S. Whitcomb, H. Yamamoto, and R. Weiss, in Proceedings of the 2nd TAMA International Workshop on Gravitational Wave Detection, S.Kawamura and N.Mio, eds. (Universal Academy, 2000), p. 279.

Ballmer, S.

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, LIGO Internal Doc. No. T050064-00-R (2005), http://www.ligo.caltech.edu/docs/T/T050064-00.pdf.

Bell, S.

J. Camp, H. Armandula, S. Bell, G. Billingsley, W. Kells, A. Lazzarini, D. Li, S. Whitcomb, H. Yamamoto, and R. Weiss, in Proceedings of the 2nd TAMA International Workshop on Gravitational Wave Detection, S.Kawamura and N.Mio, eds. (Universal Academy, 2000), p. 279.

Billingsley, G.

J. Camp, H. Armandula, S. Bell, G. Billingsley, W. Kells, A. Lazzarini, D. Li, S. Whitcomb, H. Yamamoto, and R. Weiss, in Proceedings of the 2nd TAMA International Workshop on Gravitational Wave Detection, S.Kawamura and N.Mio, eds. (Universal Academy, 2000), p. 279.

Camp, J.

J. Camp, H. Armandula, S. Bell, G. Billingsley, W. Kells, A. Lazzarini, D. Li, S. Whitcomb, H. Yamamoto, and R. Weiss, in Proceedings of the 2nd TAMA International Workshop on Gravitational Wave Detection, S.Kawamura and N.Mio, eds. (Universal Academy, 2000), p. 279.

Chow, R.

Danzmann, K.

W. Winkler, K. Danzmann, A. Rüdiger, and R. Schilling, Phys. Rev. A 44, 7022 (1991).
[CrossRef] [PubMed]

Fritschel, P.

Frolov, V.

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, LIGO Internal Doc. No. T050064-00-R (2005), http://www.ligo.caltech.edu/docs/T/T050064-00.pdf.

Hello, P.

P. Hello and J. Vinet, J. Phys. (Paris) 51, 1267 (1990).
[CrossRef]

P. Hello and J. Vinet, J. Phys. (Paris) 51, 2243 (1990).
[CrossRef]

Kawabe, K.

R. L. Savage, Jr., M. Rakhmanov, and K. Kawabe are preparing a manuscript, "In situ measurement of thermally induced g factor changes in a kilometer-scale Fabry-Perot cavity."

Kells, W.

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, LIGO Internal Doc. No. T050064-00-R (2005), http://www.ligo.caltech.edu/docs/T/T050064-00.pdf.

J. Camp, H. Armandula, S. Bell, G. Billingsley, W. Kells, A. Lazzarini, D. Li, S. Whitcomb, H. Yamamoto, and R. Weiss, in Proceedings of the 2nd TAMA International Workshop on Gravitational Wave Detection, S.Kawamura and N.Mio, eds. (Universal Academy, 2000), p. 279.

Lawrence, R.

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, LIGO Internal Doc. No. T050064-00-R (2005), http://www.ligo.caltech.edu/docs/T/T050064-00.pdf.

R. Lawrence, D. Ottaway, P. Fritschel and M. Zucker, Opt. Lett. 29, 2635 (2004).
[CrossRef] [PubMed]

Lawrence, R. C.

R. C. Lawrence, "Active wavefront correction in laser interferometric gravitational wave detectors," Ph.D. dissertation (Massachusetts Institute of Technology, February 2003), http://www.ligo.caltech.edu/docs/P/P030001-00.pdf

Lazzarini, A.

J. Camp, H. Armandula, S. Bell, G. Billingsley, W. Kells, A. Lazzarini, D. Li, S. Whitcomb, H. Yamamoto, and R. Weiss, in Proceedings of the 2nd TAMA International Workshop on Gravitational Wave Detection, S.Kawamura and N.Mio, eds. (Universal Academy, 2000), p. 279.

Li, D.

J. Camp, H. Armandula, S. Bell, G. Billingsley, W. Kells, A. Lazzarini, D. Li, S. Whitcomb, H. Yamamoto, and R. Weiss, in Proceedings of the 2nd TAMA International Workshop on Gravitational Wave Detection, S.Kawamura and N.Mio, eds. (Universal Academy, 2000), p. 279.

Mason, K.

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, LIGO Internal Doc. No. T050064-00-R (2005), http://www.ligo.caltech.edu/docs/T/T050064-00.pdf.

Moreno, G.

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, LIGO Internal Doc. No. T050064-00-R (2005), http://www.ligo.caltech.edu/docs/T/T050064-00.pdf.

Ottaway, D.

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, LIGO Internal Doc. No. T050064-00-R (2005), http://www.ligo.caltech.edu/docs/T/T050064-00.pdf.

R. Lawrence, D. Ottaway, P. Fritschel and M. Zucker, Opt. Lett. 29, 2635 (2004).
[CrossRef] [PubMed]

Rakhmanov, M.

R. L. Savage, Jr., M. Rakhmanov, and K. Kawabe are preparing a manuscript, "In situ measurement of thermally induced g factor changes in a kilometer-scale Fabry-Perot cavity."

Rüdiger, A.

W. Winkler, K. Danzmann, A. Rüdiger, and R. Schilling, Phys. Rev. A 44, 7022 (1991).
[CrossRef] [PubMed]

Savage, R. L.

R. L. Savage, Jr., M. Rakhmanov, and K. Kawabe are preparing a manuscript, "In situ measurement of thermally induced g factor changes in a kilometer-scale Fabry-Perot cavity."

Schilling, R.

W. Winkler, K. Danzmann, A. Rüdiger, and R. Schilling, Phys. Rev. A 44, 7022 (1991).
[CrossRef] [PubMed]

Smith, M.

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, LIGO Internal Doc. No. T050064-00-R (2005), http://www.ligo.caltech.edu/docs/T/T050064-00.pdf.

Taylor, J. R

Vinet, J.

P. Hello and J. Vinet, J. Phys. (Paris) 51, 1267 (1990).
[CrossRef]

P. Hello and J. Vinet, J. Phys. (Paris) 51, 2243 (1990).
[CrossRef]

Vorvick, C.

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, LIGO Internal Doc. No. T050064-00-R (2005), http://www.ligo.caltech.edu/docs/T/T050064-00.pdf.

Weiss, R.

J. Camp, H. Armandula, S. Bell, G. Billingsley, W. Kells, A. Lazzarini, D. Li, S. Whitcomb, H. Yamamoto, and R. Weiss, in Proceedings of the 2nd TAMA International Workshop on Gravitational Wave Detection, S.Kawamura and N.Mio, eds. (Universal Academy, 2000), p. 279.

Whitcomb, S.

J. Camp, H. Armandula, S. Bell, G. Billingsley, W. Kells, A. Lazzarini, D. Li, S. Whitcomb, H. Yamamoto, and R. Weiss, in Proceedings of the 2nd TAMA International Workshop on Gravitational Wave Detection, S.Kawamura and N.Mio, eds. (Universal Academy, 2000), p. 279.

Willems, P.

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, LIGO Internal Doc. No. T050064-00-R (2005), http://www.ligo.caltech.edu/docs/T/T050064-00.pdf.

Winkler, W.

W. Winkler, K. Danzmann, A. Rüdiger, and R. Schilling, Phys. Rev. A 44, 7022 (1991).
[CrossRef] [PubMed]

Wu, Z. L

Yamamoto, H.

J. Camp, H. Armandula, S. Bell, G. Billingsley, W. Kells, A. Lazzarini, D. Li, S. Whitcomb, H. Yamamoto, and R. Weiss, in Proceedings of the 2nd TAMA International Workshop on Gravitational Wave Detection, S.Kawamura and N.Mio, eds. (Universal Academy, 2000), p. 279.

Zucker, M.

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, LIGO Internal Doc. No. T050064-00-R (2005), http://www.ligo.caltech.edu/docs/T/T050064-00.pdf.

R. Lawrence, D. Ottaway, P. Fritschel and M. Zucker, Opt. Lett. 29, 2635 (2004).
[CrossRef] [PubMed]

Appl. Opt. (1)

J. Phys. (Paris) (2)

P. Hello and J. Vinet, J. Phys. (Paris) 51, 1267 (1990).
[CrossRef]

P. Hello and J. Vinet, J. Phys. (Paris) 51, 2243 (1990).
[CrossRef]

Nucl. Instrum. Methods Phys. Res. A (1)

LIGO Scientific Collaboration, Nucl. Instrum. Methods Phys. Res. A 517, 154 (2004).

Opt. Lett. (1)

Phys. Rev. A (1)

W. Winkler, K. Danzmann, A. Rüdiger, and R. Schilling, Phys. Rev. A 44, 7022 (1991).
[CrossRef] [PubMed]

Other (5)

R. C. Lawrence, "Active wavefront correction in laser interferometric gravitational wave detectors," Ph.D. dissertation (Massachusetts Institute of Technology, February 2003), http://www.ligo.caltech.edu/docs/P/P030001-00.pdf

S. Ballmer, V. Frolov, R. Lawrence, W. Kells, G. Moreno, K. Mason, D. Ottaway, M. Smith, C. Vorvick, P. Willems, and M. Zucker, LIGO Internal Doc. No. T050064-00-R (2005), http://www.ligo.caltech.edu/docs/T/T050064-00.pdf.

J. Camp, H. Armandula, S. Bell, G. Billingsley, W. Kells, A. Lazzarini, D. Li, S. Whitcomb, H. Yamamoto, and R. Weiss, in Proceedings of the 2nd TAMA International Workshop on Gravitational Wave Detection, S.Kawamura and N.Mio, eds. (Universal Academy, 2000), p. 279.

R. L. Savage, Jr., M. Rakhmanov, and K. Kawabe are preparing a manuscript, "In situ measurement of thermally induced g factor changes in a kilometer-scale Fabry-Perot cavity."

Laser Cam IIID, Coherent Inc, Santa Clara, Calif. 95054.

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Figures (2)

Fig. 1
Fig. 1

Schematic of the measurement of the setup used to measure the thermal lensing in the LIGO ITMX. The incident beam is the spatially cleaned input to the interferometer. The RM and the ITMY are misaligned during this experiment. The TCS and BS are also shown. ETMX, end test mass.

Fig. 2
Fig. 2

ITMX cool-down data; two data sets are shown. The crosses and the left axis represent data from the cool down after the interferometer has been run for an hour with 2 W of power incident on the mode cleaner. The circles and the right axis are data from the cool down of the optic when it is heated with 185 mW of power from the TCS.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

w out 2 = w in 2 [ ( B R + A ) 2 + ( λ B π w in 2 ) 2 ] ,
( x out x out ) = [ A B C D ] ( x in x in ) .
w out w in ( B R + A ) .
1 R = 1 R cold + N f thermal ,
f thermal = B N w in w hot w cold .

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