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SP CE A TELESCOPE SCIENCE INSTITUTE

Instrument Science Report ACS 2011-03

Flux Calibration of the ACS CCD Cameras
III. Sensitivity Changes over Time
Ralph C. Bohlin, Jennifer Mack, and Leonardo Ubeda June 2, 2011

A

BSTRACT

The flux calibration of HST instruments is normal ly specified after removal of artifacts such as a decline in charge transfer efficiency (CTE) for CCD detectors and optical throughput degradation. This ACS ISR deals with the HRC and WFC losses in sensitivity from polymerization of contaminants on the optical surfaces. Prior to the demise of the ACS CCD channels on 2007 Jan. 27, the losses are less than 0.003 mag/year, except for the two short wavelength HRC filters F220W and F250W. The measurements of the sensitivity loss rates using a set of observations of WD flux standards has a precision of 0.0008 mag/year, while the sensitivity loss rates using repeated observations of the globular cluster 47 Tuc are probably consistent within their currently lower precision. Fol lowing the revival of ACS WFC during the gain of the new electronics was set so that the signal for the same 47 Tuc field as measured longer time baseline is required to reliably dete Servicing Mission 4 (SM4) in 2009 May, the measured signal in electrons s-1 matched the in 2002 with the F606W filter. However, a rmine the post-SM4 loss rates.

1. Intro duction
In order to specify a flux calibration for the ACS CCD imaging data, the photometry must be corrected for gradual losses in the charge transfer efficiency (CTE) of the CCD
Copyright c 2008 The Association of Universities for Research in Astronomy, Inc. All Rights Reserved.


detectors and in the transmission of the optics. Both the CTE and the system throughput have been decreasing since installation of ACS into HST on 2002 March 7 (Bohlin 2007, hereafter B07). The polymerization of contaminants on the optical surfaces probably causes the gradual loss of optical throughput; and bombardment of the CCD detectors by cosmic rays causes the loss of charge transfer efficiency. However, there are two events that intro duce discontinuities into this loss pro cess. First, after the side-2 electronics were activated on 2006 July 6, the set-point temperature was reduced from -77C to -81C for the WFC CCD in order to mitigate the impact of hot pixels (Sirianni et al. 2006). The lower operating temperature caused wavelength dependent discontinuities of up to 2.4% in the sensitivities, which were implemented in the form of new QE curves that are used to determine the photf lam absolute flux calibration keyword in the WFC data headers. For example in 2006 July, the photf lam for WFC F814W changes from 6.926e-20 to 7.033e-20 er g s-1 cm-2 °-1 /(electr on s-1 ), a change of -0.0166 mag and A specified as -0.016 mag in Mack et al. (2007). Studies of the changing sensitivity must utilize the fluxes calibrated with the proper photf lam or must apply the Mack et al. corrections to the measured photometry in electrons s-1 for observations obtained after 2006 July 6. In addition, the lowering of the set-point to -81C caused minor flat field changes of up to 0.6%, which are automatically included in the STScI ACS pipeline data pro ducts (Gilliland et al. 2 0 0 6 ). The second discontinuity in the gradual loss of sensitivity was caused by the the CCD Electronics Box Replacement (CEB-R) with its ASIC sidecar circuit board during SM4 in 2009 May (Grogin et al. 2010). Because CCDs are inherently analog readout devices with arbitrary data number readout units (DN) and because the exact conversion of photo electrons to the DN readout unit of the new ASIC is not measured in the laboratory, the post-SM4 sensitivities cannot be measured with respect to the earlier sensitivities. Thus, the WFC gain value that converts photo-electrons to DN is arbitrary. The exact value of the gain of the new electronics that converts measured DN values to electrons was established by matching the F606W stellar fluxes at an average time of 2009.6 for an average of seven 47 Tuc datasets to a mean of 18 observations of the same field obtained in 2002 April­May at an average time of 2002.4. The CTE correction algorithm of Chiaberge et al. (2009, hereafter MC09) was applied to all the 47 Tuc photometry. The 2009.6 fluxes are calculated with the photf lam keyword values established in 2006 July for the -81C WFC operating temperature, so that the photf lam values currently remain unchanged since 2006 July. However, this approach do es not make the relative sensitivities at 2009.6 exactly equal to the 2002.4 values for all the WFC filters. (See §2 below). One way to correct these minor inconsistencies is to treat the post-SM4 WFC like a new instrument and adjust the WFC QE curve and throughput of each filter via post-SM4 observations of the white dwarf (WD) flux standards, so that 2


there would be a second discontinuity of the photf lam values. Alternatively for dates after SM4, our normalization of filter dependent correction of §2 can account for the sensitivity discontinuity caused by the repair of the ACS electronics in SM4. This ISR is the third (III) in a four part series that will culminate in IV with a new flux calibration for the ACS CCD detectors. ISR I (Bohlin & Anderson 2011) defines the CTE losses for observations of the bright flux standard stars with the WFC CCD, while II (Bohlin 2011) establishes the encircled energy corrections for the fiducial 1 radius vs. infinite (5 .5) radius. The sensitivity changes found from repeated observations of the flux standards are compared here with the results from repeated observations of the 47 Tuc field.

2. Analysis of the Standard Star Data
Because of the electronics change in 2009 May that required the establishment of new gain values, the time perio ds before and after the ACS failure on 2007 Jan 27 must be analyzed separately. To measure the post-2009 trends, a baseline of several observations of the standards is required over a few years. In the meanwhile, a constant sensitivity at the mean level of the post-2009 observations is adopted; and this ISR concentrates on the determination of the sensitivity loss rates prior to the 2007 ACS failure. The reference position for the flux calibration presented here is at the center of the HRC CCD and the center of the standard WFC1-1K subarray at pixel (3583,1535) on chip-1. The maximum allowed offset from the reference position is 6 .5 for HRC and 8 .4 for WFC. For the flux of sources remote from these reference positions, uncertainties in the flat field correction must be included with the uncertainties enumerated herein. Photometry for the three WD primary standards is extracted for apertures of 0.15, 0.35, 0.65, and 1.0 arcsec, which corresponds to 3, 7, 13, and 20 pixels for WFC and double those radii in pixels for HRC. The three stars are on a common scale defined by the observed countrate C divided by the prediction from synthetic photometry P, as described in detail in B07 and Bohlin et al. (2011). The stellar SEDs for these three fundamental HST standards are the pure hydrogen NLTE mo dels from the HST CALSPEC database1 . The change in sensitivity for each filter is fit with a straight line; and then these slopes are fit with a polynomial as a function of the filter pivot wavelengths. For example, Figure 1 shows the fits for F555W for the one arcsec radius photometry with a background annulus from 6-8 for WFC and from 5.5-6.5 for HRC, which is the standard reference aperture of de Marchi et al. (2004), Sirianni et al. (2005, S05), and B07. The HRC and WFC photometry are in
1

http://www.stsci.edu/hst/observatory/cdbs/calspec.html/

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Fig. 1.-- Ratio of CTE-corrected observed to predicted count rates C/P for F555W as a function of time for the one arcsec radius photometry. Symbols are: square-G191B2B, circleGD153, and triangle-GD71. Black symbols are for WFC, and red are HRC. The 2002­2007 straight line fits and the data for each camera are normalized to the value which makes each fit equal to unity at 2002.2, i.e. the time at which the absolute flux calibration is applicable. After 2009.6, the slope is arbitrarily set to zero, pending the collection of data over a longer timeline, and the level is normalized to the average of the post-SM4 points.

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red and black, respectively, along with the two separate best fits. The parameterized correction for the CTE losses in the WFC (Bohlin & Anderson 2011) are applied before fitting the sensitivity change vs. time for the slopes of the one arcsec photometry. However, the maximum CTE correction is only 0.16% for the WFC observations of the standard GD71 at 2011.1 with F775W. Although there is no CTE correction for the HRC, those data are similarly well exposed; and any CTE correction for HRC is expected to be as negligible as the WFC CTE corrections. For the one arcsec photometry, Figure 2 shows the slope of the loss rates for each filter and a fourth-order polynomial fit for both cameras as a function of the pivot wavelength. The narrow band data is omitted in the fitting pro cedure, as justified by B07. The WFC and HRC data could be fit independently with separate fits that differ the most around 4500° A because of the two high WFC points for F435W and F475W. However, the differences are less than the uncertainties of the fits; thus for simplicity, the HRC and WFC slopes are fit together. The 1 error bars of most of the points, including both the WFC F435W and F475W, overlap the fourth-order fit. The rms scatter of 0.07%/year of the one arcsec radius photometry about the fit is the adopted uncertainty shown as dashed lines in Figure 2. In the case that degradation of the exposed OTA mirrors is the primary cause of the sensitivity losses, the excellent agreement between the WFC and HRC points in Figure 2 is not surprising. In any case, separate WFC and HRC fits that differ by 0.07%/year from the joint solution imply photometric differences of only 0.3% after 4.8 years on-orbit at the time of the failure in 2007. The loss rates for the 0.35 and 0.65 arcsec radii photometry agree with the baseline 1.0 arcsec radius of Figure 2 within the uncertainties, which are 0.12 and 0.09%/yr for .35 and 0.65 arcsec, respectively. However, the results for 0.15 arcsec (3 pixels for WFC) are much noisier due to fo cus variations, i.e. "breathing" caused by the day-night thermal cycling of the orbit. The loss rates for the one arcsec aperture have the smallest uncertainties and should provide the best correction for any ACS photometry after properly accounting for the encircled enery fraction. The results differ from the previous analysis of the same data by B07 by less than the 0.07%/year uncertainty of the fit to the one arcsec data in Figure 2. The co efficients of the fourth order polynomial fit in Figure 2 are -0.03301, 2.131e05, -5.438e-09, 5.933e-13, -2.299e-17, while the loss rates evaluated at the average pivot wavelengths appear in Table 1. As an interim correction for estimating the sensitivities after the 2009 SM4, a constant sensitivity is assumed as a compromise between an apparent increase suggested by the three post-SM4 data points and the expectation that the loss rate should be similar to the earlier

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Fig. 2.-- Pre-SM5 slopes in percent loss of sensitivity per year for all filters, as in the example for F555W in Figure 1. Black is for the WFC, while red represents the HRC. Large symbols are broad and medium bandpass, while small symbols are for the narrow band filters. A fourth order fit for the large symbols is shown as a function of the filter pivot wavelength with the uncertainty shown as dotted lines. Error bars on each point are the 1 formal uncertainty in the slope of the linear fits. Most of the error bars cross the fit, and there is no systematic difference between the WFC and HRC data points. The corresponding average sensitivity losses for the three CCD grating mo des of STIS (dashed lines) from (Stys, Bohlin, & Goudfro oij 2004) are similar to the ACS loss rates. Because an increase in sensitivity seems non-physical and because the data for both cameras are consistent with zero change, the fit for F850LP is set to zero.

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Fig. 3.-- Value of the sensitivity correction at 2009.6 relative to the initial sensitivity at 2002.2 as based on the average of the three available observations with their problematically large scatter illustrated in Figure 1. The data points are for the eight WFC broadband filters, while the smo oth curve is a cubic fit to these eight points. If the suspiciously low data for GD153 are eliminated, the fit would shift upward by 0.5%. This systematic uncertainty dominates any statistical uncertainties.

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Filter F 220W F 250W F 330W F 344N F 435W F 475W F 502N F 550M F 555W F 606W F 625W F 658N F 660N F 775W F 814W F 850L F 892N

Pivot-WL 2 2 3 3 4 4 5 5 5 5 6 6 6 7 8 9 8 2 7 3 4 3 7 0 5 3 8 2 5 5 6 0 1 9 5 1 6 3 1 6 2 8 5 9 9 8 9 8 9 3 1 7 4 2 3 6 1 2 1 8 7 8 3 0 7 1 1 4

%/year 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .64 .46 .32 .31 .26 .26 .26 .26 .26 .26 .25 .23 .23 .13 .09 0. 0.01

mag/year 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .00 .00 .00 .00 .00 .00 .00 .00 .00 .00 .00 .00 .00 .00 .00 0. 0.00 7 5 3 3 2 2 2 2 2 2 2 2 2 1 0 0 0 5 4 8 8 8 9 9 8 7 5 5 4 9

2009.6 ... ... ... ... .00 .99 .99 .99 .99 .99 .99 .99 .99 .00 .00 .01 .01

01

1 0 0 0 0 0 0 0 0 1 1 1 1

1 6 5 3 4 4 5 6 6 3 6 1 0

Table 1: Rate of sensitivity loss in percent per year and in mag per year for each CCD filter. The units of the pivot wavelength column are Angstroms. For the post-SM4 WFC observations, the final column specifies the sensitivities relative to 2002.2 per the curve in Figure 3. loss rates. The photometry for GD153 obtained in 2009 is consistently lower than the 2011 points for GD71 and G191B2B for all eight filters in common; but a detailed examination of the individual images do es not reveal any obvious flaw in the 2009 data set. As either instrumental or astrophysical explanations are possible for the low GD153 data points early in the post-repair era, a proper definition of the post-2009 sensitivity trends must await the gathering of more data. The adopted constant sensitivities for each WFC filter are the average of the WD observations that are available after SM4, as illustrated in the Figure 1 example for F555W. These average levels after 2009.6 appear in Figure 3, where each value represents the sensitivity relative to the initial sensitivity of unity at 2002.2. The cubic fit in Figure 3 has co efficients 1.218, -9.978e-05, 1.419e-08, and -6.297e-13 as a function of wavelength in Angstroms, while the final column of Table 1 has the evaluations of this cubic at the pivot wavelengths.

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The corrections in Table 1 specify the changes to the photf lam, P , flux calibration o values in the ACS data headers, i.e. P represents the header values for HRC, the original values for WFC at -77C, or the updated values after 2006.5, when the WFC set-point temperature was lowered to -81C.
o P = P (1 + C3 [t - 2002.2]/100),

(1 )

where C3 is the %/year loss rate from column 3 of Table 1 for 2002­2007 and t is the observation date in decimal years. After 2009,
o P = P C5 ,

(2 )

where C5 is the value from column 5 of Table 1 for post-SM4. For scientific analyses that do not require P values, equivalent corrections can be made to the ACS images or to the extracted photometry. These corrections will not be implemented in the pipeline until confirmed by the on-going investigations of sensitivity changes derived from repeated observations of starfields. After a correction is incorporated into the pipeline calculations of photf lam, Equations 1­2 should not be applied. If a new QE curve for post-SM4 is implemented or enough time has elapsed to reveal any post-SM4 trends, then Equation 2 should not be used.

3. Analysis of the 47 Tuc Data
Over the ACS lifetime, the same field lo cated five arcmin west of the core of the globular cluster 47 Tuc has been observed many times with HRC and WFC in F435W and all longer wavelength bands. These data are used to define the low-frequency spatial components of the flat fields (Mack et al. 2002), to measure the geometric distortion (Anderson 2007), and to determine CTE losses (Chiaberge 2009, Anderson & Bedin 2010). Using the technique of (Mack et al. 2007) to average over the field, these data could also define the changes in sensitivity; and an analysis might confirm the above results for the WD standards. As an initial check, the WFC observations of 47 Tuc in F606W are examined here. The photometry for each image is extracted from the f lt.f its images with aperture photometry measured in 3, 5, and 10 pixel radii using the FORTRAN co des from Anderson & King (2006). This photometry is corrected for CTE losses in the observed image with the metho d of AB10 or in the extracted photometry with the MC09 algorithm; and the measured stellar positions are matched to pro duce a master catalog. Much of the 10 pixel radius photometry is contaminated due to the crowding in the densely populated 47 Tuc field illustrated in Figure 4. Small sub-regions of this field are shown in Fig. 2 of MC09 and 9


in Fig. 1 of Mack et al. (2007). However, there are typically 1000 bright isolated stars that are used to define aperture corrections for the 3 and 5 pixel radius photometry relative to the 10 pixel (0 .5) reference aperture, as illustrated in Mack et al. (2007). These average aperture corrections for each 47 Tuc image are applied to the 3 and 5 pixel results to pro duce a final catalog of 143 images in the WFC F606W filter. The repeatability of the three pixel photometry tends to be worse than for the five pixel results, probably because of residual effects of breathing on the HST PSF. Thus, the 5 pixel data are used for our analysis. For the five pixel data, the F606W photometry of each star in each image is compared to the mean photometry of 18 early 22.5s images that establish an initial baseline obtained on 2002 May 8­9, just after installation of ACS into HST. The peak-to-peak scatter among the 18 baseline images is ±0.3%. These photometric differences are averaged for each image as illustrated in Figure 5 for a typical example. After sigma clipping the red points, the flux-weighted average of the remaining green points is computed. These mean differences using the AB10 CTE correction appear in Figure 6 as a function of time with red for short exposures and blue for long exposure to check for any dependence on exposure time. The two separate fits are shown along with the WD result (green line) of a loss rate of 0.0028 mag/year from §2. Exposure time ranges are 30­140s, and >339s for the short, and long exposures, respectively. Figure 7 displays the same results, except with the MC09 CTE correction. There are 4000 measured stars in each short exposure and 8000 in the long exposures. The slopes of the various linear fits are in Table 2. Metho d WD AB10 Short AB10 Long Slope 0.0028 0.0022 0.0007 Loss at 2007.0 0.013 0.011 0.003 0.004 0.003 year and total The different ding to AB10, exposures are

MC09 Short 0.0009 MC09 Long 0.0007

Table 2: Various results for the slope of the fit to the sensitivity loss in mag per loss in mag after 4.8 years at 2007.0 for F606W, assuming no loss at 2002.2. metho ds used are the WD standard star results from §2, CTE corrections accor and CTE corrections according to MC09. Results for both the short and long included for AB10 and MC09 metho dologies.

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Fig. 4.-- (Top:) A drizzled mosaic of the 47 Tuc calibration field observed in F606W following SM4. (Bottom:) The weight image, which is equivalent to an effective exposure time map, for the 14 dither positions, each of which is a 339s exposure. The red box shows the WFC field of view in a single exposure. 11


Fig. 5.-- Five-pixel photometry for each star in the 30s image j bbf 01i3q f lt.f its of 47 Tuc obtained in 2009 as a function of the differences between j bbf 01i3q and a mean of 18 images obtained in 2002. The mag values are in instrumental units, i.e. -2.5log (electr ons). The red points are rejected after iterative sigma-clipping and are not included in the weighted average of the remaining 1087 green points. The vertical solid blue line lies at this mean value of -0.0078, which is uncertain by 0.0006.

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Fig. with 5 to long fit fo

6.-- The F606W photometry for 47 Tuc relative to a 2002 epoch as a function of time the CTE corrections as specified by AB10. Each F606W image is averaged as in Figure pro duce one data point with error bars. Short exposures are in red, while blue is for exposures. The green line is the result from Table 1 above and is close to the red line r the short exposure set.

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Fig. 7.-- As in Figure 6, except for the CTE correction algorithm of MC09. Both fits are flatter than the green line, even though the blue points near 2006 agree fairly well with the green line from the WD results.

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4. Discussion
In general, the 47 Tuc loss rates for F606W in Table 2 are less than the WD standard star value of 0.0028 mag/yr. The discrepancy between the AB10 results for the short and long exposures suggests that the uncertainties in the 47 Tuc analysis are to o large to confirm the WD results. The AB10 correction were derived using post-SM4 long exposure darks; and more recent studies of the CTE before 2007 show that adjustments are required to the CTE corrections used to make Figure 6. After these updates to the AB10 co de to account for the different release rates of the trapped charge at the higher operating temperature in 2002­2006, Figure 6 should be reconstructed. For the MC09 results shown in Figure 7, the long exposures have a similar slope but show an offset from the shorter set, which is evidence for a problem with the sky subtraction in the crowded 47 Tuc field (cf. Dolphin 2000). Whether there is a systematic error in the sky estimates or whether the apparent discrepancy is just a deficiency in the non-linear CTE correction requires more study. One approximation in the Figure 7 is that the MC09 CTE correction is for three pixel radius photometry, while those three-pixel co efficients are applied to our five pixel results. MC09 tested their three-pixel corrections on five-pixel photometry with go o d success at the 0.1 mag level but did not present results at the sub-0.01 mag level required for measuring the time dependent sensitivity losses of 0.003 mag/year. The largest systematic deviations of the 47 Tuc data from the green WD line in Figure 7 are only 0.005 mag for the clump of blue points near 2003. Another approximation lies in the functional form assumed by MC09, i.e. the lo cal sky level to a negative power, which is undefined for the zero or slightly negative sky levels found in short exposures. A more physical formulation for the STIS CTE uses an exponential of the negative ratio of sky to stellar signal (Bohlin & Goudfro oij 2003, Goudfro oij et al. 2006). In crowded fields, there is often a nearby star in the readout direction that fills the charge traps; and a better approximation would be to use a larger range sky average that includes some signal from the neighboring stars. The best quantitative estimates of the uncertainty in the MC09 CTE corrections are provided in their table 2, which lists the three CTE correction co eficients and the three corresponding formal uncertainties. Applying the MC09 CTE correction to the 47 Tuc data with co efficients in the quoted range of uncertainty can pro duce a loss rate that agrees with the 0.003 mag/year WD result. In conclusion, neither the AB10 or MC09 CTE correction techniques currently have adequate precision to robustly reveal the small sensitivity losses derived from the WD analysis. However, refinements to the techniques, especially for AB10, are under study and may pro duce corrections to the large 47 Tuc dataset that are precise enough to confirm or improve the loss rates implied by the observations of the bright WD standards. If a long vs. 15


short exposure discrepancy is still apparent after applying improved CTE corrections, then an improved metho d of extracting the photometry must be developed before the 47 Tuc dataset can be used to determine reliable loss rates for the ACS CCD cameras.

References
Anderson, J. 2007, Instrument Science Report, ACS 2007-08, (Baltimore:STScI) Anderson, J., & King, I. R. 2006, Instrument Science Report, ACS 2006-01, (Baltimore:STScI) Anderson, J., & Bedin, L. R. 2010, PASP, 122, 1035 (AB10) Bohlin, R. C. 2007, Instrument Science Report, ACS 2007-06, (Baltimore:STScI) (B07) Bohlin, R. C., & Anderson, J. 2011, Instrument Science Report, ACS 2011-01, (Baltimore:STScI) Bohlin, R. C. 2011, Instrument Science Report, ACS 2011-02, (Baltimore:STScI) Bohlin, R. C., & Goudfro oij, P. 2003, Instrument Science Report, STIS 2003-03R, (Baltimore:STScI) Bohlin, R. C., et al. 2011, AJ, 141, 173 Chiaberge, M., et al. 2009, Instrument Science Report, ACS 2009-01, (Baltimore:STScI) (MC09) De Marchi, G., Sirianni, M., Gilliland, R., Bohlin, R., Pavlovsky, C., Jee, M., Mack, J., van der Marel, R., & Boffi, F. 2004, Instrument Science Report, ACS 2004-08, (Baltimore:STScI) Dolphin, A. E. 2000, PASP, 112, 1397 Gilliland, R. L., Bohlin, R. C., & Mack, J. 2006, Instrument Science Report, ACS 2006-06, (Baltimore:STScI) Goudfro oij, P., Bohlin, R. C., Maiz-Apellaniz, J., & Kimble, R. 2006, PASP, 118, 1455 Grogin, N., Lim, P. L., Maybhate, A., Ho ok, R., & Lo ose, M. 2010, 2010 HST Calibration Workshop, S. Deustua & C. Oliveira, eds., (Baltimore:STScI) Mack, J., Bohlin, R., Gilliland, R., Van der Marel, R., Blakeslee, J., & DeMarchi, G. 2002, Instrument Science Report, ACS 02-08, (Baltimore:STScI) Mack, J., Gilliland, R. L., Anderson, J., & Sirianni, M. 2007, Instrument Science Report, ACS 2007-02, (Baltimore:STScI) Sirianni, M., et al. 2005, PASP, 117, 1049S (S05) Sirianni, M., Gilliland, R., & Sembach, K. 2006, Technical Instrument Report, ACS TIR 2006-02, (Baltimore:STScI) Stys, D. J., Bohlin, R. C. & Goudfro oij, P. 2004, Instrument Science Report, STIS 2004-04, (Baltimore:STScI) 16