Chapter 9Part 2: Focus and depth
Sensor size and
crop factor
A smaller sensor records only the middle of the picture the lens projects. See how much each sensor crops, what that does to framing and background blur, and why phones need software to blur the background.
The photo you get
- Crop factor
- Frames like, on full frame
- Background blur like
- Exposure at this f-number
Sensors drawn to scale. The highlighted one is the one you picked.
What crop factor means
A lens throws a circle of light at the back of the camera. A full-frame sensor, 36 × 24 mm like a frame of 35 mm film, records a rectangle of it. A smaller sensor records a smaller rectangle from the middle. Crop factor is how many times smaller its diagonal is.
| Sensor | Size | Crop factor | A 50 mm lens frames like | Sharpness limit c |
|---|---|---|---|---|
| Full frame | 36 × 24 mm | 1× | 50 mm | 0.030 mm |
| APS-C (Nikon, Sony, Fujifilm) | 23.5 × 15.6 mm | 1.5× | 75 mm | 0.020 mm |
| APS-C (Canon) | 22.3 × 14.9 mm | 1.6× | 80 mm | 0.019 mm |
| Micro Four Thirds | 17.3 × 13 mm | 2× | 100 mm | 0.015 mm |
| 1-inch (compacts, drones) | 13.2 × 8.8 mm | 2.7× | 135 mm | 0.011 mm |
| Phone main camera (1/1.3-inch) | 9.8 × 7.4 mm | 3.5× | 175 mm | 0.009 mm |
The lens doesn't change
A 50 mm lens is 50 mm on any camera. The smaller sensor just crops its picture, so it looks like a longer lens. That's why a 50 mm lens on APS-C is a good portrait lens, and why wide angles are hard to find for small sensors.
Why the sharpness limit shrinks
A photo from a smaller sensor is enlarged more to reach the same print or screen size, so its blur is enlarged too. To look equally sharp, the blur on the sensor must be smaller: about 0.03 mm ÷ crop factor. The hyperfocal chapter uses these values.
Equivalent focal length and aperture
To get the same photo on two sensors, the same framing and the same background blur from the same spot, multiply both the focal length and the f-number by the crop factor.
33 mm f/1.8 on APS-C ≈ 50 mm f/2.7 on full frame
33 × 1.5 ≈ 50, and 1.8 × 1.5 = 2.7. Both give the same view and the same amount of background blur.
So to match the look of a full-frame f/2.8 portrait, an APS-C camera needs about f/1.8, and Micro Four Thirds about f/1.4.
What doesn't change
Brightness at the same f-number. At f/1.8 on either camera, the same shutter speed and ISO give roughly the same image brightness. But the equivalent pair above uses f/1.8 on APS-C and f/2.7 on full frame. To keep the same shutter speed and brightness at f/2.7, the full-frame camera needs about 2.25× the ISO. Aperture equivalence here describes framing and depth of field; it does not mean the f-numbers give identical exposure settings.
At the same f-number and shutter speed, a smaller sensor collects less light across the whole image. At the same output size this can mean more visible noise, though sensor design and processing matter too. See Cambridge in Colour's sensor-size comparison.
Why phones need portrait mode
A typical phone main camera has a 6.9 mm lens at f/1.8 on a sensor with a crop factor of about 3.5. That frames like 24 mm and blurs like f/6.3 on full frame. At normal distances almost everything is sharp, however bright the f-number sounds.
Portrait mode fakes it. The phone estimates how far away each part of the picture is, using two cameras, a depth sensor or machine learning, then blurs the background in software.
Spot the fake
- Hair, glasses and the gaps between fingers are hard to separate, so edges look cut out or smudged.
- The ground under the subject should blur gradually with distance. Fake blur often jumps from sharp to soft.
- Out-of-focus lights may lack the shapes you saw in the bokeh section.
- Get close to something small: the real optical blur of a phone is strongest in close-ups.