Dark Current Noise
Dark
current arises from thermal energy within the
silicon lattice comprising the CCD. Electrons
are created over time that are independent of
the light falling on the detector. These electrons
are captured by the CCDs potential wells and
counted as signal. Additionally, this increase
in signal also carries a statistical fluctuation
known as dark current noise. CCDs can be cooled
either with thermoelectric coolers (TECs) or
liquid nitrogen to reduce this effect. Ideally,
the dark current noise should be reduced to
a point where its contribution is negligible
over a typical exposure time.
MPP Operation
Some CCDs
operate in multi-pinned-phase
(MPP) mode. MPP devices are fabricated and
operated in such a way as to significantly reduce
thermal charge generation (dark current). The
largest contribution to dark current results
from the interface between the silicon dioxide
and epitaxial silicon layer within the CCD.
Boron implantation into the epitaxial silicon
layer and proper biasing of the various clock
phases drive the dark current electrons away
from the potential wells that comprise a pixel,
thus reducing the number of electrons per pixel
per second (e-/p/s) collected due to dark current.
Dark Current vs. Dark Current Noise
Each
high-performance CCD camera carries a dark current
specification. Dark current noise is the statistical
variation of this specification. For instance,
a given camera might have a dark current specification
of 1.0 e-/p/s. For a 4-second exposure, a total
of 4 electrons/pixel are generated (1.0 e-/p/s
x 4 sec). Since dark current noise follows Poisson
statistics, the rms dark current noise is the
square root of the dark current or, in this
case, 2 e-/p.
Dark Current Noise Contributions
Noise
sources in CCD cameras add in quadrature (the
square root of the sum of the squares). In the
low-light regime, the significant noise sources
are read noise and dark current noise. Again,
using the previously mentioned camera as an
example, we can easily compare the relative
sizes of these noise sources. Using 13 electrons/pixel
as the read noise and the dark current noise
calculated above (2 e-/p) for a 4-second exposure,
the total camera noise is calculated as follows:

Thus, the dark current noise generated in
a 4-second exposure has virtually no effect
on the total camera system noise. Similarly,
for a 30-second exposure we find that the total
system noise equals 14.1 electrons. Again, even
at a 30-second exposure, dark current noise
barely contributes to the total camera system
noise.
Hot Pixels
Occasionally, an individual
pixel may have a different dark current generation
rate than the rest of the CCD array. Remember,
the dark current specification is an ensemble
average of the entire array. Those pixels that
have a higher-than-average dark current are
known as hot pixels. These pixels will repeatedly
have higher backgrounds than the vast majority
of pixels. Since this is an effect that arises
from the CCD manufacturing process, each hot-pixel
location will remain fixed and can therefore
be corrected.