Limit Magnitudes
Typical limit magnitude for point sources
| Filter |
Seconds to reach the indicated magnitude at 5 sigma with 0.8" seeing |
|
17 |
18 |
19 |
20 |
21 |
22 |
23 |
| Y |
0.2 |
1 |
7 |
44 |
280 |
1757 |
... |
| Z |
... |
0.5 |
4 |
22 |
140 |
872 |
5500 |
| J |
0.5 |
3 |
20 |
128 |
810 |
5100 |
... |
| H |
3 |
14 |
90 |
571 |
3600 |
... |
... |
| K |
7 |
42 |
268 |
1694 |
>10000 |
... |
... |
| Filter |
Seconds to reach precision photometry at the indicated magnitude (S/N=100, 0.6" seeing) |
|
17 |
18 |
19 |
20 |
| Y |
40 |
250 |
1574 |
... |
| Z |
20 |
124 |
781 |
4900 |
| J |
115 |
726 |
4580 |
... |
| H |
511 |
3228 |
... |
... |
| K |
1517 |
~10000 |
... |
... |
Signal to Noise Ratio Calculations
The theory behind the signal to noise behaviour of aperture
photometry from IR imaging cameras can be found
here.
The situation can be simplified under the following assumptions:
-
Background limited -
The poisson noise from the sky is much greater than the readnoise of the detector
-
Low Dark current -
The counts from the sky are much greater than the counts from the detector dark current
-
Apperture size -
The sky aperture is much larger than the object aperture
into two cases, depending on whether the object contributes
significantly more or less light into the object aperture than the
sky background.
In addition, you should note that signal to noise ratio is
inversely proportional to the square root of your object apperture
area.
When the object is much fainter than the sky, the achieved signal to noise ratio is
proportional to the square root of integration time,
proportional to the flux of the object and
inversely proportional to the square root of the sky flux.
Bright Objects
When the object is much brighter than the sky, the achieved signal to noise ratio is
proportional to the square root of integration time and
proportional to the square root of the flux from the object.
|