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KI Nuller Sensitivity and Observing parameters

Update for 2011A: Proposals for the nuller will be accepted, but availability of this instrument in future semesters is not guaranteed.

The sensitivities given below are the current performance levels. These sensitivity values are based on past interferometer performance in good weather. Note that the interferometer performance degrades in poor seeing.

In the Nuller mode the main data product is the coherent null leakage for a given source. The null leakage is related to the visibility as N = (1-V)/(1+V) which in the limit of small N, approximates to V2 = 1 - 4N for the squared visibility (the normal KI visibility measurement). Integrations on the target source and calibrators are interleaved in time. Each integration includes all local (detector, background) calibrations. See the KI nulling description for more details on the nulling observations and how these observations can be used for measuring visibilities.

Observations with the nuller mode can only be combined with the K/L split pupil mode within a single night. See the configuration page for more details.

  • Sensitivity numbers updated: August 3, 2009
  • AO (adaptive optics) sensitivity:
    • R < 10.0 (somewhat dependent on source color, less sensitive than single telescope AO due to the dichroic which sends light to interferometer)
    • See the Keck Observatory AO page for more details.
    • Note that the image rotators are used in vertical angle mode.
    • Off-axis observing is NOT available in nulling mode.
  • Angle tracking: For nulling, the preferred angle tracking band is H, although J band can be used in average or better seeing conditions.
    • H < 4.3 mag (80 Hz)
    • J < 7.5 mag (80 Hz)
    • 40 Hz tracking: 1 magnitude fainter limits.
  • Fringe tracking: For nulling, the fringe tracker operates in K band with a 4 msec frame time.
    • K < 4.6 - X mag, where X is based upon the expected angular size of the target at K. This K band sensitivity level is for the mode in which an iris is used to filter the fringe tracker input and is the mode in which the nulling performance limits have been demonstrated. Additional fringe tracker sensitivity (to K < 6.0 - X mag) can be obtained under good seeing conditions by running without this iris, but the system has not been well characterized in this mode.
    • Note that the targets CAN NOT be larger than 4.5 mas at K.
      X diameter (mas)
      0.00 < 1
      0.25 1.6
      0.50 2.2
      0.75 2.7
      1.00 3.1
      1.25 3.4
      1.50 3.7
      1.75 3.9
      2.00 4.2

    • An 8 msec clock is available for the fringe tracker which can be used under good seeing conditions to increase the K-band limiting magnitude by 0.75 magnitudes over the values above at the expense of null leakage. The nuller has not been characterized with this clock; however, we would expect at least a factor of 2 degradation in the null leakage uncertainty given below. We would recommend this clock only for targets with a large expected excess, and it must be used for both target and calibrator.
  • Nuller: N band flux > 2.4*F Jy, where F is based upon the expected angular size of the target at 9.5 microns. Note that targets CAN NOT be larger than 20 mas at N band. Fainter objects (down to 1.7 Jy for sources less than 5 mas) can be observed at lower nulling performance (see below).
    • F theta (mas)
      1.0 < 5
      1.1 7
      1.2 9
      1.5 13
      2.0 16
      2.5 18
      3.0 20

  • Spectral dispersion: in order to obtain best SNR, the default data reduction bins the spectral data as follows:
    • "wideband" channel: 8 - 9 microns.
    • 10 narrowband channels across the N-band (8-13 microns).
  • Null leakage uncertainty: The uncertainty in the null leakage from interleaved integrations of target/calibrator pairs is 0.25% (1 sigma) over 2.5 to 3 hours in moderately good weather when the source flux meets all stated sensitivity limits. For fainter N-band fluxes (1.7 to 2.4 Jy), the uncertainty increases to 0.5% in 3 hours. More detail on calibration is provided in nulling basics.
  • Sky coverage:
    • Delay Range:
      • continuous (fast delay lines): +/- 13 m
      • quasi-static (long delay lines): +/- 65m

      The total delay is calculated by summing the FDL and LDL values. Zenith pointing occurs at a delay of approx. -40 meters, which means that targets at high and low declinations can not be observed at all hour angles. We recommend using getCal to see the detailed coverage of specific objects.

      Up to different 3 long delay line positions can be used in a single night. The long delay lines take 15 minutes to re-position and align and should be changed only between groups of targets and calibrators. The length of the FDLs typically allows a given star to be tracked for approximately 2-3 hours for a given LDL position; the precise track length depends on the LDL position and the source declination. The timing gui in getCal plots the detailed coverage for a given LDL position.

    • Zenith Range:
      • maximum zenith angle: 50 deg
      • 3 deg radius around zenith excluded; degraded performance is sometimes seen within 5 deg of zenith.

  • Observing efficiency: For sources where all magnitudes are > 1 magnitude above the sensitivity limits, KI in nulling mode can achieve 2 scans per hour under good weather and seeing conditions. A scan includes the fringe tracking data and detector calibrations. A separate scan on a nearby calibrator is required to determine the system visibility and nulling calibration. These scans are typically grouped into 2-3 hour blocks (depending on the FDL coverage and the observing goals) to provide 2-3 calibrated scans on the target. Pointing optimization on bright 10 micron sources is required between these observing blocks. These pointing observations will require 20-30 minutes each.

    For sources at the sensitivity limit of one of the sub-systems, the efficiency is generally closer to 1.5 scans per hour. The first 30 minutes after the domes open may be necessary for other interferometer set-up and no science observations are guaranteed during this time.

  • Field-of-view: ~0.6 arcsec FWHM for the nuller (limited by the pinhole at the 10 micron detector focus); the FOV is somewhat elliptical given the use of the split aperture.
  • Keck-Keck baseline is 85 meters and roughly 38 degrees East of North. The KI planning tool getCal can be used to find source delay line and u-v coverage.

    getCal web interface

    K-band u-v Coverage (as a function of declination):

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