What it frames

The OM System PEN with the Olympus M.Zuiko 75mm f/1.8, over a 1.75 m person in front of a wall with a window. Everything is drawn to scale: the solid frame is what the camera takes in, the dashed ones are 24, 50 and 135mm on full frame from the same spot. Its Micro Four Thirds sensor (17.3 x 13 mm) has a crop factor of 2, so the dashed frames are marked with the focal length that gives the same view on it.

75mm on the OM System PEN frames 35 cm × 26 cm at 1.5 m: like 150mm on full frame, 13° across.

24mm eq. (12mm)50mm eq. (25mm)135mm eq. (68mm)75mm · like 150mm on full frame35 cm × 26 cm at 1.5 m
The subject is 1.5 m away; things behind it are drawn smaller, as the camera sees them.
Inside the frame: the picture you would get.

The numbers

  • Frame at 1.5 m35 cm × 26 cm
  • Full-frame equivalent150mm
  • Angle of view13° × 9.9°, 16° diagonal
  • Depth of field at f/1.81.49 m to 1.51 m (2 cm)
  • Depth of field at f/81.46 m to 1.55 m (8.8 cm)
  • Hyperfocal at f/1.8217 m
  • Hyperfocal at f/848.8 m
  • Circle of confusion0.014 mm
f/1.81.49 m to 1.51 m (2 cm)f/81.46 m to 1.55 m (8.8 cm)camerasubject, 1.5 m3 m
Depth of field: what is acceptably sharp, wide open and at f/8, focused on the subject.

How it is worked out

The frame at a distance is distance × sensor size ÷ focal length, across and up; the angle of view is 2 × atan(sensor size ÷ (2 × focal length)). Depth of field uses the thin-lens formulas: the hyperfocal distance H = f² ÷ (N × c) + f, the near limit s(H − f) ÷ (H + s − 2f) and the far limit s(H − f) ÷ (H − s), sharp to infinity from H on, with a circle of confusion c of the sensor diagonal ÷ 1500 and, on a zoom whose aperture changes, the maximum aperture taken linearly between its ends. These are for a rectilinear lens; a fisheye takes in more. Ask for this page with Accept: application/json for the numbers alone.