Abstract

We present a new optical control scheme for a laser interferometric gravitational wave detector that has a high degree of tolerance to interferometer spatial distortions and noise on the input light. The scheme involves resonating the rf sidebands in an interferometer arm cavity.

© 1999 Optical Society of America

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References

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  1. A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
    [CrossRef] [PubMed]
  2. A. Giazotto, in First Edoardo Amaldi Conference on Gravitational Wave Experiments, E. Coccia, G. Pizella, and F. Ronga, eds. (World Scientific, Singapore, 1995).
  3. M. W. Regehr, F. J. Raab, and S. E. Whitcomb, Opt. Lett. 20, 1507 (1995).
    [CrossRef] [PubMed]
  4. W. Winkler, K. Danzmann, A. Rudiger, and R. Schilling, Phys. Rev. A 44, 7022 (1991).
    [CrossRef] [PubMed]
  5. B. Wilke, N. Uehara, E. K. Gustafson, R. L. Byer, P. King, S. Seel, and R. L. Savage, Opt. Lett. 23, 1704.
  6. J. B. Camp, H. Yamamoto, S. E. Whitcomb, and D. E. McClelland, “Analysis of light noise sources in a recycled Michelson interferometer with Fabry–Perot arms,” submitted to J. Opt. Soc. Am. A.
  7. B. Bochner, “Modelling the performance of interferometric gravitational wave detectors with realistically imperfect optics,” Ph.D. dissertation (Massachusetts Institute of Technology, Cambridge, Mass., 1998).
  8. R. Flaminio and H. Heitman, Phys. Lett. A 214, 112 (1996).
    [CrossRef]

1996

R. Flaminio and H. Heitman, Phys. Lett. A 214, 112 (1996).
[CrossRef]

1995

1992

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

1991

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

Abramovici, A.

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

Althouse, W.

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

Bochner, B.

B. Bochner, “Modelling the performance of interferometric gravitational wave detectors with realistically imperfect optics,” Ph.D. dissertation (Massachusetts Institute of Technology, Cambridge, Mass., 1998).

Byer, R. L.

Camp, J. B.

J. B. Camp, H. Yamamoto, S. E. Whitcomb, and D. E. McClelland, “Analysis of light noise sources in a recycled Michelson interferometer with Fabry–Perot arms,” submitted to J. Opt. Soc. Am. A.

Danzmann, K.

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

Drever, R. W. P.

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

Flaminio, R.

R. Flaminio and H. Heitman, Phys. Lett. A 214, 112 (1996).
[CrossRef]

Giazotto, A.

A. Giazotto, in First Edoardo Amaldi Conference on Gravitational Wave Experiments, E. Coccia, G. Pizella, and F. Ronga, eds. (World Scientific, Singapore, 1995).

Gursel, Y.

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

Gustafson, E. K.

Heitman, H.

R. Flaminio and H. Heitman, Phys. Lett. A 214, 112 (1996).
[CrossRef]

Kawamura, S.

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

King, P.

McClelland, D. E.

J. B. Camp, H. Yamamoto, S. E. Whitcomb, and D. E. McClelland, “Analysis of light noise sources in a recycled Michelson interferometer with Fabry–Perot arms,” submitted to J. Opt. Soc. Am. A.

Raab, F. J.

M. W. Regehr, F. J. Raab, and S. E. Whitcomb, Opt. Lett. 20, 1507 (1995).
[CrossRef] [PubMed]

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

Regehr, M. W.

Rudiger, A.

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

Savage, R. L.

Schilling, R.

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

Seel, S.

Shoemaker, D.

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

Sievers, L.

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

Spero, R. E.

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

Uehara, N.

Vogt, R. E.

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

Weiss, R.

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

Whitcomb, S. E.

M. W. Regehr, F. J. Raab, and S. E. Whitcomb, Opt. Lett. 20, 1507 (1995).
[CrossRef] [PubMed]

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

J. B. Camp, H. Yamamoto, S. E. Whitcomb, and D. E. McClelland, “Analysis of light noise sources in a recycled Michelson interferometer with Fabry–Perot arms,” submitted to J. Opt. Soc. Am. A.

Wilke, B.

Winkler, W.

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

Yamamoto, H.

J. B. Camp, H. Yamamoto, S. E. Whitcomb, and D. E. McClelland, “Analysis of light noise sources in a recycled Michelson interferometer with Fabry–Perot arms,” submitted to J. Opt. Soc. Am. A.

Zucker, M. E.

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

Opt. Lett.

Phys. Lett. A

R. Flaminio and H. Heitman, Phys. Lett. A 214, 112 (1996).
[CrossRef]

Phys. Rev. A

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

Science

A. Abramovici, W. Althouse, R. W. P. Drever, Y. Gursel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
[CrossRef] [PubMed]

Other

A. Giazotto, in First Edoardo Amaldi Conference on Gravitational Wave Experiments, E. Coccia, G. Pizella, and F. Ronga, eds. (World Scientific, Singapore, 1995).

J. B. Camp, H. Yamamoto, S. E. Whitcomb, and D. E. McClelland, “Analysis of light noise sources in a recycled Michelson interferometer with Fabry–Perot arms,” submitted to J. Opt. Soc. Am. A.

B. Bochner, “Modelling the performance of interferometric gravitational wave detectors with realistically imperfect optics,” Ph.D. dissertation (Massachusetts Institute of Technology, Cambridge, Mass., 1998).

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Figures (2)

Fig. 1
Fig. 1

Schematic layout of the LIGO interferometer: ITM’s, input test masses; ETM’s, end test masses; BS, beam splitter; RM, recycling mirror. The lengths lx, ly, Lx, and Ly are controlled. Light is shown exiting the interferometer at the gw signal port.

Fig. 2
Fig. 2

Sideband gain versus recycling mirror radius of curvature in the presence of end test mass thermal lensing. One can recover the reduced gain at the nominal recycling mirror’s curvature (10 km) by altering the recycling mirror’s curvature to compensate for the distorted field.

Tables (1)

Tables Icon

Table 1 Noise Requirements at 100 Hz for 10–20 m/Hz1/2 gw Sensitivity

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