# 14.2 Using the Information in this Chapter

## 14.2.1 Sensitivity Units and Conversions

This chapter contains plots of throughputs and tables of sensitivities and throughputs for each grating mode. Section 6.2 explains how to use these sensitivities to calculate expected counts rates from your source.
The first table for each filter provides the following quantities:

Pivot wavelength1

Source-independent measure of the characteristic wavelength of the bandpass, defined such that it is the same if the input spectrum is in units of fλ or fν:

FWHM1

Full-width at half-maximum of the throughput T(λ).

AB mag zero point

AB magnitude of a source that produces a flux of one count per second.

SPpeak

Peak sensitivity (e-/s/Å per incident erg/cm2/s/Å)

Bλ1

Equivalent bandpass of filter, defined such that

(see Chapter 6).

R80

Radius in arcseconds of an aperture that encloses 80% of the flux of a point source.

% flux in central pixel

Percentage of the flux of a point source that falls within the central pixel (this estimate is accurate to about 10%).

1For filters with red leaks, the pivot wavelength, Bλ, and FWHM correspond to the "in-band" region, and do not include the red leak.

The first figure for each imaging mode gives the integrated system throughput. This is the combination of the efficiencies of the detector and of the optical elements in the light path. The bottom section of the throughput figures includes wavelengths beyond the nominal passband of that mode, showing any red or blue “leak” on a log scale (dotted sections are manufacturer’s lab measurements). The throughput is defined as the number of detected counts per second per cm2 of telescope area relative to the incident flux in photons per cm2 per second. For the CCD “counts” is the number of electrons detected. For the MAMA, “counts” is the number of valid events processed by the detector electronics after passing through the various pulse-shape and anti-coincidence filters. In both cases the detected counts obey Poisson statistics. The throughput includes all obscuration effects in the optical train (e.g., due to the HST secondary and due to the STIS CCD Lyot stops). The “effective area” of the mode can be computed from the throughput by multiplying by the physical area of the HST primary mirror (45238.93416 cm2). This is shown on the ordinate label on the right side of each plot.

The table for each mode gives the throughput and the point source sensitivity as a function of wavelength. Throughput has the meaning described above. The imaging point source sensitivity Spλ has units of counts/s/Å per incident erg/cm2/s/Å for the MAMAs, and e-/s/Å per incident erg/cm2/s/Å for the CCD. Counts and electrons refer to the total counts from the point source integrated over the PSF.

The imaging diffuse source sensitivity Sdλ, has the units: counts/s/Å/pix per incident erg/cm2/s/Å/arcsec2 for the MAMAs and e-/s/Å/pix per incident erg/cm2/s/Å/arcsec2 for the CCD.

Thus Spλ and Sdλ are related through the relation:

where m is the plate-scale in arcsec per pixel. Here, we have assumed that the diffuse source has a uniform brightness over the area of interest.

## 14.2.2 Signal-To-Noise

For each imaging mode, plots are provided to estimate the signal-to-noise (S/N) for a representative source. The first figure shows S/N for point sources (for two different gains for the CCD). The second figure shows S/N for uniform extended sources of area 1 arcsec2 and 0.2 arcsec2.

The different line styles in the S/N figures delineate regions where different sources of noise dominate. A particular source of noise (read noise for example) is presumed to dominate if it contributes more than half the total noise in the observations.
For the CCD, the “x” characters at the top of each plot indicate the onset of saturation for gain=1, while solid dots indicate saturation for gain=4. For the MAMAs, the “x” characters show where the total number of counts exceeds the 16-bit buffer size of 65,535.

To the left of the vertical line in the MAMA S/N plots, the count rate from the source exceeds the 100 counts/s/pix local count rate limit (see Table 7.8). This is computed from the on-orbit measured PSF, which gives 6 to 14% of the flux in the central pixel. The bright object screening limits in Table 14.40 use the more conservative (for this purpose) estimate of 25% of the flux in the central pixel.

The point source S/N figures are shown for average sky levels (i.e., the ‘average zodiacal+average earthshine’ background level used in the STIS ETC), and for sky levels during orbital night (i.e., average zodiacal + low earth). For the CCD the read noise has been computed assuming a number of readouts NREAD = integer (t / 1000 s), where is the exposure time, with a minimum NREAD=2. That is, each exposure has a minimum CR-SPLIT=2.

For the CCD, the dominant sources of sky background are zodiacal light (see Table 6.2) and scattered earthshine. The LOW-SKY requirement can be used to ensure that these backgrounds are kept as low or lower than the rates assumed for these plots. If your source falls within the sky-dominated portion of the figures, you may want to consider imposing the LOW-SKY requirement.

For the NUV-MAMA the sky background has different contributions which can dominate depending on the filter used and on whether the observation takes place on the day or night sides of the orbit. The FUV geocoronal lines dominate on the day side if CLEARF25SRF2, or a neutral-density filter are used due to the strength of those lines (see Table 6.5) and to the significant sensitivity of the detector at FUV wavelengths (see 25MAMA - NUV-MAMA, Clear and F25SRF2 - NUV-MAMA, Longpass). The NUV [O II] 2471 Å geocoronal line is the second most important contribution and dominates on the day side of the orbit if F25QTZ is used. Zodiacal light provides the largest contribution for the rest of the filters on the day side of the orbit and for most of them on the night side, where geocoronal emission is greatly reduced. The dark current is larger than the sky background in all cases except for CLEAR observations in the day side of the orbit.

For the FUV-MAMA, the dominant source of background is geocoronal emission (see Tables 6.36.4 and 6.5). The lines vary strongly from the day to night side of the orbit. For broad-band the contribution from the geocoronal lines can be minimized by using the F25QTZ filter, or observing with the DARKTIME special requirement.

Follow these steps to use the signal-to-noise plots:

1. Determine the AB magnitude of your source at the wavelength of interest. There are several ways to do this.
- Examine Table 14.1 and find ABν for the desired temperature and filter. Sum the V magnitude of the target and ABν.
- Alternatively, compute ABMAG (=V+ABν) from the source flux, using the relation:

or

2. Find the appropriate plot for the filter in question, and locate V+ABν on the horizontal axis. Then read off the signal-to-noise ratio for the desired exposure time, or vice-versa.

We now give a sample S/N calculation using these plots. Consider a V=27 star of spectral class G2V, for which we want to obtain S/N = 20 with F28X50LP observing with the CCD. From Table 14.1 we find a correction ABν= −0.21 to go from V magnitude to AB magnitude near the center of the F28X50LP bandpass. We thus have V+ABν=26.79. We look at Figure 14.8 and find this value on the horizontal axis and read up to find the curve that intersects the desired S/N. We find ~10,000 seconds are needed to reach S/N = 20 in conditions of low sky background.

In situations requiring more detailed calculations (non-stellar spectra, extended sources, other sky background levels, unknown target V magnitude, etc.), the STIS Exposure Time Calculator (ETC) should be used.

The final figures and table for each imaging mode contain information on the point spread function. The encircled energy plots and tables are normalized to 1 at a radius of 1 arcsecond. In actuality about 10% of the light from a point source falls beyond this radius; however, high S/N observations extending out to large radius exist for only a few modes from on-orbit data. The intensity vs. radius plots are normalized to a total integrated flux of 1. The PSF image is shown on a logarithmic intensity scale to enhance faint features in the wings of the PSF. Note the stellar like ‘ghost’ at approximately 45 pixels left of the peak pixel in all NUV-MAMA+Filter images. The ghost is a few tenths of a percent of the psf peak intensity. See Bowers (1997 HST Calibration Workshop) for a discussion of HST “breathing” effects on the PSF. Additional information about the STIS PSF and color dependent aperture corrections can be found in STIS ISR 2003-01.