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What it frames

The Leica SL3-P with the Laowa Aksen 45mm f/2.8 1-5X Ultra Macro APO, over a 1.75 m person in a street, with a door, a parked car and buildings. 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.

45mm on the Leica SL3-P frames 4 m × 2.67 m at 5 m: like 45mm on full frame, 44° across.

24mm eq.50mm eq.135mm eq.45mm · like 45mm on full frame4 m × 2.67 m at 5 m
The subject is 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 5 m4 m × 2.67 m
  • Full-frame equivalent45mm
  • Angle of view44° × 30°, 51° diagonal
  • Depth of field at f/2.84.17 m to 6.23 m (2.06 m)
  • Depth of field at f/83.2 m to 11.5 m (8.29 m)
  • Hyperfocal at f/2.825.1 m
  • Hyperfocal at f/88.82 m
  • Circle of confusion0.029 mm
f/2.84.17 m to 6.23 m (2.06 m)f/83.2 m to 11.5 m (8.29 m)camerasubject, 5 m10 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.