It is possible to calculate the size of the filmback (sensor size is a more accurate term for digital cameras) using some of the information you have - the fact that you know the equivalent focal length for a 35mm camera is a big help.
http://www.earlyworm.org/2008/08/filmbacks.html
The 1/3 inch thing is a left over from the days when cameras weren’t digital - please ignore it for matchmoving purposes.
http://provideocoalition.com/index.php/sony/story/sony_publishes_guide_to_sensor_sizes/
Here’s how I’d figure it out…
First up in Maya (you can also do this with regular python or even with google calculator) open up the script editor and create a python tab. Enter the following bit of code…
import math as m
def fov(focal, back):
fov = (0.5 * back) / (focal)
fov = 2 * m.atan(fov)
fov = 57.2957795 * fov
return fov
Highlight that bit of code and press enter on the numpad to execute it. Now below that piece of code enter…
fov (43.5, 36)
The 43.5 is the equivliant focal length of your camera, the 36 is the width (in mm) of a 35mm still camera. Highlight that bit of code and hit enter (again on the numpad). The result it returns is the FOV of a lens on a particular size of filmback.
# Result: 44.9588687839 #
So we now know that the FOV of your camera is 44.95 degrees. Cool - now we can work out how big the sensor is. To do that - enter the following code into the script editor…
import math as m
def back(fov, focal):
back = fov / 57.2957795
back = m.tan(back / 2)
back = focal * (back * 2)
return back
Again highlight and hit enter. Now type in…
back (44.9588687839, 6.4)
The 44.95 is the FOV we got from the above calculation, the 6.4 is the actual focal length of the lens (not the equivalant).
The result it returns is the width of the sensor in mm’s.
# Result: 5.29539148438 #
Take that result divide it by 16 and then times that result by 9 to get the height of the sensor…
5.29 / 16 * 9 = height of sensor.
Keep in mind this calculation doesn’t take into account lens distortion - so it might be slightly off - you can account for lens distortion by using trignometry and shooting a grid and measuring the FOV of the camera. But it’ll take a while to explain.
I hope that helps.