Correct.A FF sensor has 2.56 (1.6 ^ 2) times the area of a 1.6x sensor.
No. Sensor board on a FF camera measures 24mmx36mm. Sensor board on a 1.6x camera measures 16.7mmx25mm. With an EF 20mm lens infront of your FF camera, the light fall onto 24mmx36mm area. With a 1.6x camera, the light also fall onto 24mmx36mm area, but the sensor board is only able to see 16.7x25mm area, the rest of the light falls onto other part of the camera. Light density per area on both FF and 1.6x is the same. You cannot say there are more light per area density on FF compare to 1.6x.Thus, it collects 2.56 times as much light for the same FOV
(framing) and f-ratio.
For example, to get the same framing, if we
used a 100mm lens on a 1.6x camera, we'd use a 160mm lens on a FF
camera. If we used f / 4 on both cameras, the aperture on the 1.6x
camera would be 100mm / 4 = 25mm and the aperture on the FF camera
would be 160mm / 4 = 40mm. A circle with a diameter of 40mm has
2.56x the area of a circle with a 25mm diameter, which is why the
FF sensor collects more light for the equivalent FL and the same
f-ratio.
Now, since the intensity of the light on the sensor is the same,
it will meter the same, but since the total amount of light is
more, the noise will be less. However, by using the same f-ratio
for the same framing, you will also have 1.6x less DOF, and thus
the images will not be equivalent.
To get an equivalent image, we up the f-ratio by a factor of 1.6 (1
1/3 stops) to get the same aperture, anc consequently, same DOF,
and same total light. However, that light is spread over 2.56
times as much area, so the intensity of that light is 2.56 times
less. Thus, you must up the ISO by a factor of 2.56 to get the
same exposure (or, alternatively, reduce the shutter speed by a
factor of 1.6, or some equivalent comination of ISO and shutter
speed).
So, for example, if I take a pic with a 1.6x camera at 100mm, f /
2.8, 1/100, ISO 100, I will get an equivalent image with a FF
camera taken of the same scene from the same location at 160mm, f /
4.5, 1/100, ISO 250. The two pics will have the same FOV, same
DOF, same exposure, and same noise.
Now, if the total number of pixels is the same , then the noise
will be the same on a per-pixel basis as well. However, FF sensors
have more pixels, thus the per-pixel noise is higher, but the
total image noise is the same. So, the FF sensor gives a more
noisy, but more detailed, picture. However, if you then downsample
the FF image to the same dimensions as the 1.6x image, then you
will now regain noise parity, but will also have lost the detail
advantage with it. Well, not entirely -- since the lens on the FF
camera was stopped down, it will have a sharper image to being
with, regardless of pixel count, so the downsampled FF image will
still have slightly more detail.
See this thread for pics that illustrate this point:
http://forums.dpreview.com/forums/read.asp?forum=1029&message=23287156
I hope this answers your question.
--
--joe
http://www.josephjamesphotography.com
http://www.pbase.com/joemama/
Please feel free to criticize, make suggestions, and edit my
photos. If you wish to use any of my photos for any purpose other
than editing in these forums, please ask.