Single Channel Infrared Photometry with a Small Telescope
By Dr. Doug West
WestSkies Observatory, Mulvane, Kansas, USA
Introduction
The recent development of the SSP-4 Infrared Photometer has opened a
new window for the small telescope observer, that is, light with
wavelengths beyond one micron. Up until now, the infrared wavelengths were
strictly the domain of the professional astronomer and large telescopes.
The SSP-4 photometer allows an amateur or professional with a small
telescope to precisely measure starlight in the J (1.25 micron) and H (1.65
micron) bands. This paper presents a brief overview of the development,
design, and error estimates for the SSP-4. Initial observations and status
of the Infrared Photometry Group of the American Association of Variable
Star Observers (AAVSO) are also covered.
SSP-4 Photometer Development and Design
The development of the SSP-4 was a joint effort between the AAVSO and
Optec, Inc., the designer and manufacturer of the instrument. The AAVSO
has taken deliver of the first five instruments and the observer team is
lead by the author. The AAVSO members that were most actively involved with
Optec in the development of the photometer were: Janet Mattei, Arne Henden,
Bob Wing, and Doug West.
The SSP-4 is very similar in external design to the venerable SSP-3.
However, some of the internal electronic components are very different.
The most obvious difference is the detector, the SSP-4 uses an Hamamatsu
G5851 InGaAs PIN photodiode, where as the SSP-3 uses a silicon photodiode.
The InGaAs detector is thermoelectrically cooled to -40C within the SSP-4.
Figure 1 is the photosensitivity curve as function of wavelength for the
detector. The peak response of the detector is approximately 1.75 micron.
More technical information about the SSP-4 can be found on the Optec,
Incorporated web site
www.optecinc.com.

Figure 1 Spectral Response of the InGaAs Detector
The outline of the SSP-4 photometer is shown in figure 2. The operation
of the photometer is straightforward and the user interface is intuitive. A
flip mirror and alignment eyepiece are used to center the starlight onto
the detector.

Figure 2 Outline of SSP-4

Figure 3 Picture of SSP-4
The control panel for the SSP-4 is shown in figure 3. The gain,
detector temperature, and integration time are set through a menu system
that appears in the red LED window. Once the operating parameters have
been input, that is, gain, integration time, and detector temperature, then
the counts are read from the red LED window. A computer can be interfaced
to the SSP-4 for data collection. A software package for computer control
is supplied with the photometer. Not completely shown in the picture is
the manual slider for the J and H band filters.
Filter system for the SSP-4
The J and H band filters for the SSP-4 are built to the Mauna Kea
Observatories (MKO) system (Simons and Tokunaga). The bandpasses of the two
filters are slightly narrower than previous filters to avoid contamination
by water vapor in the atmosphere. This filter system represents a
compromise between the competing factors of throughput and photometric
performance and has been endorsed by a working group of the International
Astronomical Union. In a paper by Arne Henden (Henden 2003), a good
presentation is given on the history and development infrared filters.
Figures 4 and 5 show the MKO bandpasses and the atmospheric transmission
for the two filters.

Figure 4 MKO J Band Filter Curve

Figure 5 MKO H Band Filter Curve
Estimation of the Error
This section develops the relationship between the signal-to-noise ratio
(SNR) and the error in magnitude for a single five second integration with
the SSP-4. As with any scientific instrument it is necessary to understand
the limitations and errors of measurement. The SNR is calculated from the
ratio (average counts for n measurements)/(standard deviation for n
measurements). Note that the standard deviation is for a single
measurement and not for the mean. Seven or eight five second integrations
per band were taken for each star. The sky background count was an average
of three five second integrations. The telescope used was a Meade LX200
0.2m SCT and the observing setting was suburban. At the observing location
in Mulvane, Kansas, USA, the typical naked eye visual limiting magnitude is
4.5.
In table 1, the columns labeled "J Band SNR" and "H Band SNR" represents
the average SNR that would be expected for stars with magnitudes between -2
and 4. These numbers are derived from an exponential curve fit. The
columns with labels "J Band Error" and "H Band Error" represent the
expected error (one sigma) associated with each value of SNR. The formula
for calculation of the estimated error is 1.0857/SNR.
Table 1 - Estimated SNR and Error as a Function of Magnitude
| |
J Band |
J Band |
H Band |
H Band |
| Mag |
SNR |
Error |
SNR |
Error |
| -2 |
456 |
0.00 |
196 |
0.01 |
| -1 |
255 |
0.00 |
148 |
0.01 |
| 0 |
143 |
0.01 |
111 |
0.01 |
| 0.5 |
107 |
0.01 |
96 |
0.01 |
| 1 |
80 |
0.01 |
84 |
0.01 |
| 1.5 |
60 |
0.02 |
72 |
0.01 |
| 2 |
45 |
0.02 |
63 |
0.02 |
| 2.5 |
33 |
0.03 |
55 |
0.02 |
| 3 |
25 |
0.04 |
47 |
0.02 |
| 3.5 |
19 |
0.06 |
41 |
0.03 |
| 4 |
14 |
0.08 |
36 |
0.03 |
Initial Observations with the SSP-4
Initial observations with the SSP-4 and a 0.25 SCT through 17 June 2003
are presented. The observation technique was as follows:
- Set gain =10, Detector temperature = -40 C, and integration time = 5 seconds. Set dark current greater than 100.
- Eight observations with J filter of star.
- Three observations of sky with J filter.
- Eight observations with H filter of star.
- Three observations of the sky with H filter.
- Next star and repeat steps 2-5.
In a typical observation session, each star is measured at least twice
in each filter band. Each observation has been reduced with the Henden and
Kaitchuck Astronomical Photometry Software For IBM-PC (http://www.willbell.com/). This
software takes into account color differences between the comparison stars
and airmass differences. The average airmass extinction coefficients and
color transformation coefficients were calculated over four nights using
Henden standard stars and stars from the UKIRT list. Additional information
about how the color transformation and airmass extinction coefficients were
determined can be found at
http://www.aavso.org/observing/programs/pep/report3.shtml.
Table 2 contains initial observations with the photometer. Table 3 gives
the magnitudes of the comparison stars used in the reduction of the
observations. Each of the column headings is self explanatory except for
the "Est Error" column. The error was estimated by taking the standard
deviation of the mean. Taking at least two observations per target and
using two comparison stars results in at least four estimates of the target
magnitude. The standard deviation of the mean of these multiple
observations becomes the estimated error. All of the observations in table
2 have been submitted to the AAVSO or Association of Lunar & Planetary
Observers (ALPO).
Table 2 - J and H Band Observations with the SSP-4
| Star/Planet |
UT Date |
HJD |
Mag |
Band |
Comparison Stars |
Est Error |
Note |
| Rho Cas |
5/22/03 |
2452781.9204 |
2.49 |
J |
Alp Cas and Bet Cas |
0.04 |
1 |
| Rho Cas |
5/22/03 |
2452781.9204 |
1.96 |
H |
Alp Cas and Bet Cas |
0.04 |
1 |
| Mars |
5/28/03 |
2452787.9319 |
-2.36 |
J |
SAO 145862 and SAO 163481 |
0.04 |
1,2 |
| Mars |
5/28/03 |
2452787.9319 |
-2.67 |
H |
SAO 145862 and SAO 163481 |
0.04 |
1,2 |
| Rho Cas |
5/29/03 |
2452788.9101 |
2.48 |
J |
Alp Cas and Bet Cas |
0.04 |
1 |
| Rho Cas |
5/29/03 |
2452788.9101 |
1.98 |
H |
Alp Cas and Bet Cas |
0.04 |
1 |
| FH Vir |
6/3/03 |
2452793.6151 |
2.44 |
J |
Spica and SAO 138917 |
0.04 |
1 |
| FH Vir |
6/3/03 |
2452793.6151 |
1.71 |
H |
Spica and SAO 138917 |
0.04 |
1 |
| SW Vir |
6/3/03 |
2452793.6007 |
-0.63 |
J |
Spica and SAO 138917 |
0.04 |
1 |
| SW Vir |
6/3/03 |
2452793.6007 |
-1.47 |
H |
Spica and SAO 138917 |
0.04 |
1 |
| Chi Aqr |
6/9/03 |
2452799.9167 |
0.91 |
J |
SAO 145862 and SAO 145991 |
0.05 |
1 |
| Chi Aqr |
6/9/03 |
2452799.9167 |
0.00 |
H |
SAO 145862 and SAO 145991 |
0.05 |
1 |
| SW Vir |
6/9/03 |
2452799.6072 |
-0.65 |
J |
Spica and SAO 138917 |
0.04 |
1 |
| SW Vir |
6/9/03 |
2452799.6072 |
-1.48 |
H |
Spica and SAO 138917 |
0.05 |
1 |
| FH Vir |
6/9/03 |
2452799.6242 |
2.45 |
J |
Spica and SAO 138917 |
0.04 |
1 |
| FH Vir |
6/9/03 |
2452799.6242 |
1.68 |
H |
Spica and SAO 138917 |
0.05 |
1 |
| FH Vir |
6/12/03 |
2452802.6031 |
2.58 |
J |
Spica and SAO 138917 |
0.04 |
1 |
| FH Vir |
6/12/03 |
2452802.6031 |
1.73 |
H |
Spica and SAO 138917 |
0.04 |
1 |
| EV Vir |
6/12/03 |
2452802.6132 |
2.67 |
J |
Spica and SAO 138917 |
0.09 |
1 |
| EV Vir |
6/12/03 |
2452802.6132 |
1.85 |
H |
Spica and SAO 138917 |
0.09 |
1 |
| SW Vir |
6/12/03 |
2452802.6139 |
-0.64 |
J |
Spica and SAO 138917 |
0.04 |
1 |
| SW Vir |
6/12/03 |
2452802.6139 |
-1.49 |
H |
Spica and SAO 138917 |
0.04 |
1 |
| Del Sco |
6/16/03 |
2452806.6548 |
1.35 |
J |
SAO 184336 and SAO 158840 |
0.04 |
3 |
| Del Sco |
6/16/03 |
2452806.6548 |
1.25 |
H |
SAO 184336 and SAO 158840 |
0.04 |
3 |
| V533 Oph |
6/16/03 |
2452806.6791 |
1.70 |
J |
SAO 122671 and SAO 142004 |
0.04 |
3 |
| V533 Oph |
6/16/03 |
2452806.6791 |
0.78 |
H |
SAO 122671 and SAO 142004 |
0.04 |
3 |
| Rho Cas |
6/17/03 |
2452807.9110 |
2.39 |
J |
Alp Cas and Bet Cas |
0.06 |
3 |
| Rho Cas |
6/17/03 |
2452807.9110 |
2.08 |
H |
Alp Cas and Bet Cas |
0.07 |
3 |
| Mars |
6/17/03 |
2452807.9400 |
-3.05 |
J |
SAO 145862 and SAO 163481 |
0.05 |
2,3 |
| Mars |
6/17/03 |
2452807.9400 |
-3.36 |
H |
SAO 145862 and SAO 163481 |
0.05 |
2,3 |
Table 3 - Catalog Magnitudes for Comparison Stars in Table 2
| Star |
Spectral Type |
J |
H |
Source of Photometry |
| Spica |
B1III |
1.51 |
1.58 |
UKIRT |
| Alp Cas |
K0IIIa |
0.42 |
-0.19 |
Cat. of IR Observations |
| Bet Cas |
F2IV |
1.65 |
1.40 |
Cat. of IR Observations |
| SAO 145862 |
G2I |
1.48 |
1.09 |
UKIRT |
| SAO 163481 |
F8V+A0 |
1.45 |
0.98 |
UKIRT |
| SAO 138917 |
F0V |
2.05 |
1.90 |
UKIRT |
| SAO 145991 |
G8III |
2.61 |
2.12 |
UKIRT |
| SAO 122671 |
K2III |
0.90 |
0.40 |
UKIRT |
| SAO 142004 |
K0III |
1.75 |
1.27 |
UKIRT |
| SAO 158840 |
A3IV |
2.50 |
2.45 |
UKIRT |
| SAO 184336 |
B2III |
2.49 |
2.44 |
UKIRT |
Infrared Photometry of Algol
The triple system eclipsing binary Algol has been observed by the AAVSO
Infrared Photometry Group. Figure 6 is a partial phase plot of the primary
and secondary eclipses. More observations are planned on this system
before publication in an astronomical journal. Typical errors are 0.05
magnitude. This plot was generated using the ephemeris 2441773.4894 +
2.8673285E. Zeilik, Bayliss, and Heckert have previously reported infrared
photometry of Algol.

Figure 6 Infrared Light Curve for Algol (beta Per). The
boxes represent J magnitudes and the stars (*) represent H
magnitudes.
Current Status of AAVSO IR Photometry
Group
The AAVSO Infrared Photometry has five active observers, they are Jim
Wood, Dirk Terrell, Doug Hodgson, Ken Luedeke, and Doug West. Michael
Koppelman is a former observer with the SSP-4. Arne Henden and Jerry Persha
are acting as technical advisors to the group. Hundreds of J and H band
observations have already been submitted to the AAVSO database for archive.
The most actively observed stars are delta Sco, R Leo, Mira, Algol, S Vir,
and Rho Cas. Since many of these stars have very long periods (excess of
one year), publication of the groups results in astronomical journals won't
be until early 2005.
Acknowledgements
The author would like to thank the following for their help in
preparation of this paper: Arne Henden, Jerry Persha, and Michael
Koppelman.
References
- UKIRT IR Photometry of Selected Bright Stars
http://www.jach.hawaii.edu/JACpublic/UKIRT/astronomy/calib/bright_stds.html
- Kaitchuck, R.H. and Henden, A.A., Astronomical Photometry Software for
the IBM-PC, Version 2.0, 1992, published by Willmann-Bell, Inc.
- Zeilik, M., Bayliss, L., Heckert, P., "Infrared Photometry of Algol",
IBVS 1787, May 1980.
- Henden, A.A., "JHK Standards for Small Telescopes", JAAVSO, Vol. 31,
No. 1, July 2003, pages 11-20.
- Simons, D.A. and Tokunaga, A., "The Mauna Kea Observatories
Near-Infrared Filter Set. I. Defining Optimal 1-5 Micron Bandpasses", PASP,
Vol. 114, Issue 792, February 2002, pages 169-179.
- Gerzair, D.Y., et. al., Catalog of Infrared Observations, Edition 5,
1999. Available through Vizier at http://vizier.u-strasbg.fr/viz-bin/ftp-index?II/225