LISA optimal sensitivity

Thomas A. Prince; Massimo Tinto; Shane L. Larson; J. W. Armstrong

doi:10.1103/PhysRevD.66.122002

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LISA optimal sensitivity

Thomas A. Prince^*, Massimo Tinto^†, and Shane L. Larson^‡

J. W. Armstrong^§

Space Radiation Laboratory, California Institute of Technology, Pasadena, California 91125

Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109

^*Also at Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109. Electronic address: prince@srl.caltech.edu
^†Also at Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109. Electronic address: Massimo.Tinto@jpl.nasa.gov
^‡Electronic address: shane@srl.caltech.edu
^§Electronic address: John.W.Armstrong@jpl.nasa.gov

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Phys. Rev. D 66, 122002 – Published 17 December, 2002

DOI: https://doi.org/10.1103/PhysRevD.66.122002

Abstract

The multiple Doppler readouts available on the Laser Interferometer Space Antenna (LISA) permit simultaneous formation of several interferometric observables. All these observables are independent of laser frequency fluctuations and have different couplings to gravitational waves and to the various LISA instrumental noises. Within the functional space of interferometric combinations LISA will be able to synthesize, we have identified a triplet of interferometric combinations that show optimally combined sensitivity. As an application of the method, we computed the sensitivity improvement for sinusoidal sources in the nominal, equal-arm LISA configuration. In the part of the Fourier band where the period of the wave is longer than the typical light travel-time across LISA, the sensitivity gain over a single Michelson interferometer is equal to $\sqrt{2} .$ In the mid-band region, where the LISA Michelson combination has its best sensitivity, the improvement over the Michelson sensitivity is slightly better than $\sqrt{2},$ and the frequency band of best sensitivity is broadened. For frequencies greater than the reciprocal of the light travel-time, the sensitivity improvement is oscillatory and $\sim \sqrt{3},$ but can be greater than $\sqrt{3}$ near frequencies that are integer multiples of the inverse of the one-way light travel-time in the LISA arm.

References (11)

J.W. Armstrong, F.B. Estabrook, and M. Tinto, Astrophys. J. 527, 814 (1999).
F.B. Estabrook, M. Tinto, and J.W. Armstrong, Phys. Rev. D 62, 042002 (2000).
M. Tinto, F.B. Estabrook, and J.W. Armstrong, Phys. Rev. D 65, 082003 (2002).
M. Tinto, J.W. Armstrong, and F.B. Estabrook, Phys. Rev. D 63, 021101(R) (2000).
S.V. Dhurandhar, K.R. Nayak, and J.-Y. Vinet, Phys. Rev. D 65, 102002 (2002).
P. Bender, K. Danzmann, and the LISA Study Team, Laser Interferometer Space Antenna for the Detection of Gravitational Waves, Pre-Phase, A Report, MPQ233 (Max-Planck-Institüt für Quantenoptik, Garching, 1998).
B. Noble, Applied Linear Algebra (Prentice-Hall International, Englewood Ciffs, NJ, 1969), p. 378.
S. Selby, Standard of Mathematical Tables (The Chemical Rubber Co., Cleveland, OH, 1964), p. 131.
L.S. Finn, Phys. Rev. D 63, 102001 (2001).
S. Wolfram, MATHEMATICA: User manual, Wolfram Research, Inc., 2002.
M. Tinto, F. B. Estabrook, and J. W. Armstrong, LISA Pre-Project Publication http://www.srl.caltech.edu/lisa/tdi_wp/LISA_Whitepaper.pdf, 2002.

[c1] J.W. Armstrong, F.B. Estabrook, and M. Tinto, Astrophys. J. 527, 814 (1999).

[c2] F.B. Estabrook, M. Tinto, and J.W. Armstrong, Phys. Rev. D 62, 042002 (2000).

[c3] M. Tinto, F.B. Estabrook, and J.W. Armstrong, Phys. Rev. D 65, 082003 (2002).

[c4] M. Tinto, J.W. Armstrong, and F.B. Estabrook, Phys. Rev. D 63, 021101(R) (2000).

[c5] S.V. Dhurandhar, K.R. Nayak, and J.-Y. Vinet, Phys. Rev. D 65, 102002 (2002).

[c6] P. Bender, K. Danzmann, and the LISA Study Team, Laser Interferometer Space Antenna for the Detection of Gravitational Waves, Pre-Phase, A Report, MPQ233 (Max-Planck-Institüt für Quantenoptik, Garching, 1998).

[c7] B. Noble, Applied Linear Algebra (Prentice-Hall International, Englewood Ciffs, NJ, 1969), p. 378.

[c8] S. Selby, Standard of Mathematical Tables (The Chemical Rubber Co., Cleveland, OH, 1964), p. 131.

[c9] L.S. Finn, Phys. Rev. D 63, 102001 (2001).

[c10] S. Wolfram, MATHEMATICA: User manual, Wolfram Research, Inc., 2002.

[c11] M. Tinto, F. B. Estabrook, and J. W. Armstrong, LISA Pre-Project Publication http://www.srl.caltech.edu/lisa/tdi_wp/LISA_Whitepaper.pdf, 2002.

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