CTIO ref run depth estimates

From: Robert A. Knop Jr. (robert.a.knop@vanderbilt.edu)
Date: Tue Apr 30 2002 - 14:45:28 PDT

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    Below are probably slightly optimistic depth estimates for the CTIO
    reference run fields.

    The assumptions that went into this: each image gets measured
    separately, so that an image of worse seeing doesn't corrupt the
    measurement of an image of better seeing. This is thus a better
    simulation of what we might get out of lightcurve software than we would
    get from image subtraction. This is probably slightly better than we
    can really do, and bear in mind that it is defintiely better than what
    we'll do with the image subtraction software.

    S/N values are straight in the image, *not* in the subtraction. If you
    assume a reference no deeper than the image, reduce all S/N values by
    sqrt(2). All fields starting with "L" are in the R-band; the two fields
    starting with "H" are in the I-band.

    Some fiducial supernova values (fodder for thinking about what we might
    detect before and after max):

          (I think)
          rest frame
      z t-tmax R I
     --------------------------------
     0.5 0 22.3 22.2
     0.5 10 22.9 22.7
     0.5 15 23.4 22.8
     0.5 20 24.0 23.0
     0.5 30 24.8 23.6

     0.8 0 23.9 23.1
     0.8 10 24.8 23.6
     0.8 20 26.2 24.6
     0.8 30 27.0 25.5

     1.0 0 25.0 23.7
     1.0 10 26.0 24.4

    Thus, for instance, a z=1.0 SN at max in the I-band looks like a z=0.5
    SN 30 days after max, or a z=0.8 SN 10 days after max. If we find one
    of these in a search vs. year-old references, to see the lower z after
    max supernovae in the reference run require the reference I-band images
    to be good to about magnitude 23 (for 10 rest-days after max at z=0.5 or
    at max at z=0.8). (I'm being sloppy with +-2 days here.)

    For those examples, we're OK; we'd see 'em. However, a direct new-ref
    search *won't* find the z=1 supernovae, since a magnitude 24 limit after
    the sqrt(2) reduction takes us down to <4-sigma, and that's a very
    optimistic 4-sigma (as the numbers below are almost certainly well
    better than we could do with a search subtraction).

    I have no conclusion here, this is grist for the mill. I hacked these
    numbers together quickly, so it's possible that I did something wrong;
    they look a bit optimistc to me.

                                Raw S/N for object of magnitude...
                  exp ----------------------------------
    field nexp (min) 22.5 23.0 23.5 24.0 24.5 25.0
    ------------------------------------------------------------------
      H2c 13 184. 22.95 14.48 9.14 5.77 3.64 2.30
      H3c 16 211. 21.89 13.81 8.71 5.50 3.47 2.19

    L341c 6 85. 30.22 19.07 12.03 7.59 4.79 3.02
    L350c 2 10. 13.04 8.23 5.19 3.27 2.07 1.30
    L344c 2 20. 18.32 11.56 7.29 4.60 2.90 1.83

    L340c 2 20. 15.39 9.71 6.13 3.87 2.44 1.54
    L022c 2 20. 11.31 7.14 4.50 2.84 1.79 1.13
    L221c 2 10. 13.40 8.46 5.34 3.37 2.12 1.34

    L222c 2 10. 13.86 8.74 5.52 3.48 2.20 1.39
    L210c 2 10. 13.26 8.37 5.28 3.33 2.10 1.33
    L211c 2 10. 11.95 7.54 4.76 3.00 1.89 1.20

    L212c 2 10. 13.13 8.28 5.23 3.30 2.08 1.31
    L260c 2 10. 13.81 8.71 5.50 3.47 2.19 1.38
    L261c 3 15. 17.16 10.83 6.83 4.31 2.72 1.72
    L262c 2 10. 13.05 8.23 5.19 3.28 2.07 1.30

    -Rob

    -- 
    --Prof. Robert Knop
      Department of Physics & Astronomy, Vanderbilt University
      robert.a.knop@vanderbilt.edu
    


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