CCD
Camera
9/30/15
Joshua
Kern
Theory
Charge-coupled
devices (CCD’s) are the primary devices astronomers use to image
the sky. CCD’s have arrays of pixels where each pixel can be
thought of as a potential well. When photons impinge upon the surface
of the pixel electrons are released that, when biased by an applied
voltage, create a measurable current. However, imperfections in the
individual pixels cause errors in the measured count of electrons
produced by the incident light.
These
errors in measurement have multiple sources. Even if an image is
taken with zero exposure time, the CCD will read a small signal known
as the bias level. Also, the ‘hum’ of the electronics is
responsible for creating a signal that is known as the dark current.
The dark current accumulates with time at a constant rate and can be
accounted for by taking images with a closed shutter. The third
source for signal error is from pixel to pixel sensitivity. In other
words, some pixels accumulate counts easier than others or a spec of
dust might block light from entering certain pixels. This can be
accounted for by taking images of uniformly lit screens which are
known as flat-field images. Finally, stray light from other objects
in the night sky can contribute to the signal as well. All of these
sources of additional signal must be accounted for and subtracted off
your data in order to leave only the data from your object of
interest.
Experiment
In
this experiment we characterized the bias level, dark current, and
pixel sensitivity of the ST-I model CCD camera. We took 10 images
with an exposure time of zero seconds to determine the bias level, 10
images with an exposure time of 0.001 seconds with the shutter closed
to determine the dark current, and 10 flat-field images with the same
exposure time the same as our dark current images
to determine the pixel sensitivity.
We also took images with the shutter closed at exposure times of 1,
2, 5, 10,
and 20
seconds in order to determine the rate at which the counts increase
due to the dark current.
Results
& Discussion
After
obtaining the images, we used READFITS in IDL to reduce the data. By
taking the MEAN of each image, we obtained an average bias level and
dark current of 1021.4427 and 1066.6979, respectively. The table
below gives all the average values for each bias, dark, and flat
image which we used to obtain the previously stated values. The
flat-field images were uniform with variations in counts increasing
to 50,000 towards the top-left portion of the image, and decreasing
to 40,000 in the bottom-right portion.
|
Image
|
Bias
|
Dark
|
Flat
|
|
1
|
998.4084
|
1096.4714
|
38974.117
|
|
2
|
1015.5076
|
1099.4374
|
48256.285
|
|
3
|
1035.1007
|
1101.3552
|
47070.859
|
|
4
|
1019.3893
|
1086.2279
|
49321.992
|
|
5
|
1021.3006
|
1094.8556
|
47982.125
|
|
6
|
996.5331
|
1055.5481
|
47343.168
|
|
7
|
1027.8583
|
1039.1448
|
47978.512
|
|
8
|
1031.2988
|
1029.1586
|
47562.883
|
|
9
|
1033.0098
|
1030.3505
|
47111.668
|
|
10
|
1035.9933
|
1034.4302
|
46365.031
|
To
determine the rate at which the dark current changes with time, we
took images with the shutter closed with increasing exposure times in
order to plot the average counts in each image versus the time of
exposure. The data we obtained are plotted in the graph below.
As
you can see, the data that was taken does not show strict linearity
however a linear trend is seen. After taking
the line of best fit through the data, we obtain a rate of change of
dark current equal to 0.70 ± 0.005 counts per second. The values we
obtained for the bias level, dark current, and the rate of change of
dark current as well as the characterization of the flat field images
allow us to better reduce data obtained with the ST-I camera in the
future.
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