Abstract

The Laser Interferometer Space Antenna (LISA) will use Time Delay Interferometry (TDI) to suppress the otherwise dominant laser frequency noise. The technique uses sub-sample interpolation of the recorded optical phase measurements to form a family of interferometric combinations immune to frequency noise. This paper reports on the development of a Pseudo-Random Noise laser ranging system used to measure the sub-sample interpolation time shifts required for TDI operation. The system also includes an optical communication capability that meets the 20 kbps LISA requirement. An experimental demonstration of an integrated LISA phase measurement and ranging system achieved a ≈ 0.19 m rms absolute range error with a 0.5Hz signal bandwidth, surpassing the 1 m rms LISA specification. The range measurement is limited by mutual interference between the ranging signals exchanged between spacecraft and the interaction of the ranging code with the phase measurement.

© 2010 Optical Society of America

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  1. M. Tinto, and J. W. Armstrong, "Cancellation of laser noise in an unequal-arm interferometer detector of gravitational radiation," Phys. Rev. D Part. Fields 59(10), 102003 (1999).
  2. M. Tinto, M. Vallisneri, and J. W. Armstrong, "Time-delay interferometric ranging for space-borne gravitational wave detectors," Phys. Rev. D Part. Fields Gravit. Cosmol. 71(4), 041101 (2005).
  3. LISA Frequency control study team, "LISA frequency control white paper," ESA document LISA-JPL-TN-823 (2009).
  4. D. A. Shaddock, B. Ware, R. E. Spero, and M. Vallisneri, "Postprocessed time-delay interferometry for LISA," Phys. Rev. D Part. Fields Gravit. Cosmol. 70(8), 081101 (2004).
  5. G. de Vine, B. Ware, K. McKenzie, R. E. Spero, W. M. Klipstein, and D. A. Shaddock, "Experimental demonstration of time-delay interferometry for the laser interferometer space antenna," Phys. Rev. Lett. 104(21), 211103 (2010).
    [CrossRef]
  6. S. E. Pollack, and R. T. Stebbins, "A demonstration of LISA laser communication," Class. Quantum Gravity 23, 4201 (2006).
    [CrossRef]
  7. E. D. Kaplan, Understanding GPS Principles and Applications, (Prentice Hall PTR, 1996).
  8. W. M. Klipstein, R. E. Spero, and D. A. Shaddock, "Anti-aliasing for LISA photoreceiver signals," JPL Technical Note, (2006)
  9. J. J. Esteban, A. F. Garca, J. Eichholz, A. M. Peinado, I. Bykov, G. Heinzel, and K. Danzmann, "Ranging and phase measurement for LISA," J. Phys.: Conf. Ser. 228, 012045 (2010).
  10. D.A. Shaddock, B. Ware, R.E. Spero, K. McKenzie, G. de Vine, D. Robison, T. Stecheson, Y. Chong, C. Woodruff, and W. M. Klipstein, "LISA Phasemeter Technology Assessment and Report," LISA Project Document, LIMAS 2009-002 (2009).
  11. D. A. Shaddock, B. Ware, P. Halverson, and R. E. Spero, andW. M. Klipstein, "Overview of the LISA phasemeter," in AIP Conf. Proc. 873, pg. 654-660 (2006).
  12. H.-R. Schulte, Presentation at LISA Mission Formulation MTR 14/15, 4 (2006).
  13. V. Wand, "Interferometry at low frequencies: Optical phase measurement for LISA and LISA pathfinder," PhD Thesis (4 2007). Leibniz Universität Hannover.
  14. J. G. Proakis, and M. Salehi, Communications Systems Engineering, (Prentice Hall, 2002).
  15. T. S. Rappaport, Wireless Communications, (Artech House Publishers, 2002).
  16. W. M. Folkner, F. Hechler, T. H. Sweetser, M. A. Vincent, and P. L. Bender, "LISA orbit selection and stability," Class. Quantum Gravity 14, 1405 (1997).
    [CrossRef]
  17. W. Klipstein, P. G. Halverson, R. Peters, R. Cruz, and D. A. Shaddock, "Clock noise removal in LISA, " in AIP Conf. Proc. 873, pg. 312-318 (2006).

2010

G. de Vine, B. Ware, K. McKenzie, R. E. Spero, W. M. Klipstein, and D. A. Shaddock, "Experimental demonstration of time-delay interferometry for the laser interferometer space antenna," Phys. Rev. Lett. 104(21), 211103 (2010).
[CrossRef]

J. J. Esteban, A. F. Garca, J. Eichholz, A. M. Peinado, I. Bykov, G. Heinzel, and K. Danzmann, "Ranging and phase measurement for LISA," J. Phys.: Conf. Ser. 228, 012045 (2010).

2006

H.-R. Schulte, Presentation at LISA Mission Formulation MTR 14/15, 4 (2006).

S. E. Pollack, and R. T. Stebbins, "A demonstration of LISA laser communication," Class. Quantum Gravity 23, 4201 (2006).
[CrossRef]

2005

M. Tinto, M. Vallisneri, and J. W. Armstrong, "Time-delay interferometric ranging for space-borne gravitational wave detectors," Phys. Rev. D Part. Fields Gravit. Cosmol. 71(4), 041101 (2005).

2004

D. A. Shaddock, B. Ware, R. E. Spero, and M. Vallisneri, "Postprocessed time-delay interferometry for LISA," Phys. Rev. D Part. Fields Gravit. Cosmol. 70(8), 081101 (2004).

1999

M. Tinto, and J. W. Armstrong, "Cancellation of laser noise in an unequal-arm interferometer detector of gravitational radiation," Phys. Rev. D Part. Fields 59(10), 102003 (1999).

1997

W. M. Folkner, F. Hechler, T. H. Sweetser, M. A. Vincent, and P. L. Bender, "LISA orbit selection and stability," Class. Quantum Gravity 14, 1405 (1997).
[CrossRef]

Armstrong, J. W.

M. Tinto, M. Vallisneri, and J. W. Armstrong, "Time-delay interferometric ranging for space-borne gravitational wave detectors," Phys. Rev. D Part. Fields Gravit. Cosmol. 71(4), 041101 (2005).

M. Tinto, and J. W. Armstrong, "Cancellation of laser noise in an unequal-arm interferometer detector of gravitational radiation," Phys. Rev. D Part. Fields 59(10), 102003 (1999).

Bender, P. L.

W. M. Folkner, F. Hechler, T. H. Sweetser, M. A. Vincent, and P. L. Bender, "LISA orbit selection and stability," Class. Quantum Gravity 14, 1405 (1997).
[CrossRef]

Bykov, I.

J. J. Esteban, A. F. Garca, J. Eichholz, A. M. Peinado, I. Bykov, G. Heinzel, and K. Danzmann, "Ranging and phase measurement for LISA," J. Phys.: Conf. Ser. 228, 012045 (2010).

Danzmann, K.

J. J. Esteban, A. F. Garca, J. Eichholz, A. M. Peinado, I. Bykov, G. Heinzel, and K. Danzmann, "Ranging and phase measurement for LISA," J. Phys.: Conf. Ser. 228, 012045 (2010).

de Vine, G.

G. de Vine, B. Ware, K. McKenzie, R. E. Spero, W. M. Klipstein, and D. A. Shaddock, "Experimental demonstration of time-delay interferometry for the laser interferometer space antenna," Phys. Rev. Lett. 104(21), 211103 (2010).
[CrossRef]

Eichholz, J.

J. J. Esteban, A. F. Garca, J. Eichholz, A. M. Peinado, I. Bykov, G. Heinzel, and K. Danzmann, "Ranging and phase measurement for LISA," J. Phys.: Conf. Ser. 228, 012045 (2010).

Esteban, J. J.

J. J. Esteban, A. F. Garca, J. Eichholz, A. M. Peinado, I. Bykov, G. Heinzel, and K. Danzmann, "Ranging and phase measurement for LISA," J. Phys.: Conf. Ser. 228, 012045 (2010).

Folkner, W. M.

W. M. Folkner, F. Hechler, T. H. Sweetser, M. A. Vincent, and P. L. Bender, "LISA orbit selection and stability," Class. Quantum Gravity 14, 1405 (1997).
[CrossRef]

Garca, A. F.

J. J. Esteban, A. F. Garca, J. Eichholz, A. M. Peinado, I. Bykov, G. Heinzel, and K. Danzmann, "Ranging and phase measurement for LISA," J. Phys.: Conf. Ser. 228, 012045 (2010).

Hechler, F.

W. M. Folkner, F. Hechler, T. H. Sweetser, M. A. Vincent, and P. L. Bender, "LISA orbit selection and stability," Class. Quantum Gravity 14, 1405 (1997).
[CrossRef]

Heinzel, G.

J. J. Esteban, A. F. Garca, J. Eichholz, A. M. Peinado, I. Bykov, G. Heinzel, and K. Danzmann, "Ranging and phase measurement for LISA," J. Phys.: Conf. Ser. 228, 012045 (2010).

Klipstein, W. M.

G. de Vine, B. Ware, K. McKenzie, R. E. Spero, W. M. Klipstein, and D. A. Shaddock, "Experimental demonstration of time-delay interferometry for the laser interferometer space antenna," Phys. Rev. Lett. 104(21), 211103 (2010).
[CrossRef]

McKenzie, K.

G. de Vine, B. Ware, K. McKenzie, R. E. Spero, W. M. Klipstein, and D. A. Shaddock, "Experimental demonstration of time-delay interferometry for the laser interferometer space antenna," Phys. Rev. Lett. 104(21), 211103 (2010).
[CrossRef]

Peinado, A. M.

J. J. Esteban, A. F. Garca, J. Eichholz, A. M. Peinado, I. Bykov, G. Heinzel, and K. Danzmann, "Ranging and phase measurement for LISA," J. Phys.: Conf. Ser. 228, 012045 (2010).

Pollack, S. E.

S. E. Pollack, and R. T. Stebbins, "A demonstration of LISA laser communication," Class. Quantum Gravity 23, 4201 (2006).
[CrossRef]

Schulte, H.-R.

H.-R. Schulte, Presentation at LISA Mission Formulation MTR 14/15, 4 (2006).

Shaddock, D. A.

G. de Vine, B. Ware, K. McKenzie, R. E. Spero, W. M. Klipstein, and D. A. Shaddock, "Experimental demonstration of time-delay interferometry for the laser interferometer space antenna," Phys. Rev. Lett. 104(21), 211103 (2010).
[CrossRef]

D. A. Shaddock, B. Ware, R. E. Spero, and M. Vallisneri, "Postprocessed time-delay interferometry for LISA," Phys. Rev. D Part. Fields Gravit. Cosmol. 70(8), 081101 (2004).

Spero, R. E.

G. de Vine, B. Ware, K. McKenzie, R. E. Spero, W. M. Klipstein, and D. A. Shaddock, "Experimental demonstration of time-delay interferometry for the laser interferometer space antenna," Phys. Rev. Lett. 104(21), 211103 (2010).
[CrossRef]

D. A. Shaddock, B. Ware, R. E. Spero, and M. Vallisneri, "Postprocessed time-delay interferometry for LISA," Phys. Rev. D Part. Fields Gravit. Cosmol. 70(8), 081101 (2004).

Stebbins, R. T.

S. E. Pollack, and R. T. Stebbins, "A demonstration of LISA laser communication," Class. Quantum Gravity 23, 4201 (2006).
[CrossRef]

Sweetser, T. H.

W. M. Folkner, F. Hechler, T. H. Sweetser, M. A. Vincent, and P. L. Bender, "LISA orbit selection and stability," Class. Quantum Gravity 14, 1405 (1997).
[CrossRef]

Tinto, M.

M. Tinto, M. Vallisneri, and J. W. Armstrong, "Time-delay interferometric ranging for space-borne gravitational wave detectors," Phys. Rev. D Part. Fields Gravit. Cosmol. 71(4), 041101 (2005).

M. Tinto, and J. W. Armstrong, "Cancellation of laser noise in an unequal-arm interferometer detector of gravitational radiation," Phys. Rev. D Part. Fields 59(10), 102003 (1999).

Vallisneri, M.

M. Tinto, M. Vallisneri, and J. W. Armstrong, "Time-delay interferometric ranging for space-borne gravitational wave detectors," Phys. Rev. D Part. Fields Gravit. Cosmol. 71(4), 041101 (2005).

D. A. Shaddock, B. Ware, R. E. Spero, and M. Vallisneri, "Postprocessed time-delay interferometry for LISA," Phys. Rev. D Part. Fields Gravit. Cosmol. 70(8), 081101 (2004).

Vincent, M. A.

W. M. Folkner, F. Hechler, T. H. Sweetser, M. A. Vincent, and P. L. Bender, "LISA orbit selection and stability," Class. Quantum Gravity 14, 1405 (1997).
[CrossRef]

Ware, B.

G. de Vine, B. Ware, K. McKenzie, R. E. Spero, W. M. Klipstein, and D. A. Shaddock, "Experimental demonstration of time-delay interferometry for the laser interferometer space antenna," Phys. Rev. Lett. 104(21), 211103 (2010).
[CrossRef]

D. A. Shaddock, B. Ware, R. E. Spero, and M. Vallisneri, "Postprocessed time-delay interferometry for LISA," Phys. Rev. D Part. Fields Gravit. Cosmol. 70(8), 081101 (2004).

Class. Quantum Gravity

S. E. Pollack, and R. T. Stebbins, "A demonstration of LISA laser communication," Class. Quantum Gravity 23, 4201 (2006).
[CrossRef]

W. M. Folkner, F. Hechler, T. H. Sweetser, M. A. Vincent, and P. L. Bender, "LISA orbit selection and stability," Class. Quantum Gravity 14, 1405 (1997).
[CrossRef]

J. Phys.: Conf. Ser.

J. J. Esteban, A. F. Garca, J. Eichholz, A. M. Peinado, I. Bykov, G. Heinzel, and K. Danzmann, "Ranging and phase measurement for LISA," J. Phys.: Conf. Ser. 228, 012045 (2010).

Phys. Rev. D Part. Fields

M. Tinto, and J. W. Armstrong, "Cancellation of laser noise in an unequal-arm interferometer detector of gravitational radiation," Phys. Rev. D Part. Fields 59(10), 102003 (1999).

Phys. Rev. D Part. Fields Gravit. Cosmol.

M. Tinto, M. Vallisneri, and J. W. Armstrong, "Time-delay interferometric ranging for space-borne gravitational wave detectors," Phys. Rev. D Part. Fields Gravit. Cosmol. 71(4), 041101 (2005).

D. A. Shaddock, B. Ware, R. E. Spero, and M. Vallisneri, "Postprocessed time-delay interferometry for LISA," Phys. Rev. D Part. Fields Gravit. Cosmol. 70(8), 081101 (2004).

Phys. Rev. Lett.

G. de Vine, B. Ware, K. McKenzie, R. E. Spero, W. M. Klipstein, and D. A. Shaddock, "Experimental demonstration of time-delay interferometry for the laser interferometer space antenna," Phys. Rev. Lett. 104(21), 211103 (2010).
[CrossRef]

Presentation at LISA Mission Formulation MTR

H.-R. Schulte, Presentation at LISA Mission Formulation MTR 14/15, 4 (2006).

Other

V. Wand, "Interferometry at low frequencies: Optical phase measurement for LISA and LISA pathfinder," PhD Thesis (4 2007). Leibniz Universität Hannover.

J. G. Proakis, and M. Salehi, Communications Systems Engineering, (Prentice Hall, 2002).

T. S. Rappaport, Wireless Communications, (Artech House Publishers, 2002).

W. Klipstein, P. G. Halverson, R. Peters, R. Cruz, and D. A. Shaddock, "Clock noise removal in LISA, " in AIP Conf. Proc. 873, pg. 312-318 (2006).

LISA Frequency control study team, "LISA frequency control white paper," ESA document LISA-JPL-TN-823 (2009).

D.A. Shaddock, B. Ware, R.E. Spero, K. McKenzie, G. de Vine, D. Robison, T. Stecheson, Y. Chong, C. Woodruff, and W. M. Klipstein, "LISA Phasemeter Technology Assessment and Report," LISA Project Document, LIMAS 2009-002 (2009).

D. A. Shaddock, B. Ware, P. Halverson, and R. E. Spero, andW. M. Klipstein, "Overview of the LISA phasemeter," in AIP Conf. Proc. 873, pg. 654-660 (2006).

E. D. Kaplan, Understanding GPS Principles and Applications, (Prentice Hall PTR, 1996).

W. M. Klipstein, R. E. Spero, and D. A. Shaddock, "Anti-aliasing for LISA photoreceiver signals," JPL Technical Note, (2006)

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