Part 2: Focus and depth
Cheat sheet
The formulas and starting settings from every chapter in Part 2: Focus and depth. Use the settings as a starting point, then check the photo.
Chapter 7Camera Lens
Formulas
- Horizontal view
- 2 × arctan(sensor width ÷ (2 × focal length))
- Full frame at 50 mm: about 40° horizontally
- f-number
- focal length ÷ effective opening diameter
- 50 mm at f/2: about 25 mm entrance pupil
Settings
Choose by need
- Include more from one spot
- Shorter focal length
- Tighter frame from one spot
- Longer focal length
- Small close subject
- Macro lens; check magnification and working distance
- Everyday walk or travel
- Standard view or flexible standard zoom
- Distant bird or field sport
- Telephoto; use a fast shutter for movement
- Immersive curved-line view
- Fisheye rather than rectilinear ultra-wide
- Tall building, straight verticals
- Keep camera level; shift a tilt-shift lens upward
Chapter 8Aperture and depth of field
Formulas
- Opening diameter
- focal length ÷ N
- 50 mm at f/4: a 12.5 mm opening
- Background blur disk
- grows with the opening
- f/4 → f/2 makes the blur disk about 2× bigger
- Looks sharp if
- blur circle ≤ c = 0.03 mm
- Full frame; smaller sensors use less
- Near limit of sharpness
- s(H − f) ÷ (H + s − 2f)
- s = focus distance, H = hyperfocal distance
- Far limit of sharpness
- s(H − f) ÷ (H − s)
- Infinity once s reaches H
Settings
More background blur, biggest first
- Get closer, 2 m to 1 m
- ×2.7
- Open up, f/4 to f/2
- ×2.0
- Background 2 m to 20 m behind
- ×1.8
- Zoom to 100 mm and step back
- ×1.3
Starting apertures
- Portrait, soft background
- f/2.8 or wider
- Group photo
- f/5.6 to f/8, focus on a middle row
- Landscape
- f/8 to f/11
Group at 4 m, 35 mm lens
- f/2.8
- sharp 3.1 to 5.5 m
- f/5.6
- sharp 2.6 to 8.8 m
- f/8
- sharp 2.3 to 17.9 m
Chapter 9Sensor size and crop factor
Formulas
- Crop factor
- 43.3 mm ÷ sensor diagonal
- 43.3 mm is the full-frame (36 × 24 mm) diagonal
- Equivalent focal length
- focal length × crop
- 50 mm on APS-C frames like 75 mm
- Equivalent aperture (blur)
- N × crop
- 33 mm f/1.8 on APS-C ≈ 50 mm f/2.7 on full frame
- Sharpness limit
- c ≈ 0.03 mm ÷ crop
- MFT: 0.015 mm
- Brightness
- same f-number, same shutter, same ISO → same brightness
- f/1.8 is f/1.8 for exposure on any sensor
Settings
Crop factors
- Full frame, 36 × 24 mm
- 1×
- APS-C (Nikon, Sony, Fujifilm)
- 1.5×
- APS-C (Canon)
- 1.6×
- Micro Four Thirds
- 2×
- 1-inch
- 2.7×
- Phone main camera
- about 3.5×
Match a full-frame f/2.8 portrait
- APS-C
- about f/1.8
- Micro Four Thirds
- about f/1.4
A 50 mm lens frames like
- APS-C (1.5×)
- 75 mm, a good portrait lens
- Micro Four Thirds
- 100 mm
Chapter 10Hyperfocal distance
Formulas
- Hyperfocal distance
- H = f2 ÷ (N × c) + f
- 50 mm, f/8, c = 0.03 mm: 2500 ÷ 0.24 + 50 ≈ 10.5 m
- Focus at H
- sharp from H/2 to ∞
- H = 10 m: sharp from 5 m to the horizon
- Focus at infinity
- near limit ≈ H
- Loses the foreground from H/2 to H
- Near limit, focused at s
- (H − f) × s ÷ (H + s − 2f)
- Put s = H and it's H/2
- What moves H
- 1 stop down: ÷ 1.4 · 2 stops: ÷ 2 · 2× focal length: × 4
- Because f is squared
Settings
Full frame, c = 0.03 mm
- 24 mm at f/8
- 2.42 m
- 24 mm at f/11
- about 1.7 m
- 24 mm at f/16
- 1.22 m
- 50 mm at f/8
- 10.47 m
- 50 mm at f/16
- 5.26 m
- 70 mm at f/16
- 10.28 m
In the field
- Not sure of the distance
- Focus a little beyond H
- Farthest thing is a treeline
- Focus slightly closer than H
- Foreground closer than H/2
- Focus stack
Chapter 11Diffraction and the sharpest aperture
Formulas
- Airy disk
- ≈ 2.44 × wavelength × N
- Green light: about 1.34 µm per f-number
- At f/16
- 1.34 µm × 16 ≈ 21.5 µm
- Depends only on the f-number, not the lens or camera
- Starts to show at 100%
- Airy disk ≈ 2 pixels
- No sharp cutoff; smaller pixels show it sooner
- Across sensor sizes
- same look at N × crop
- MFT at f/8 looks like full frame at f/16
Settings
Airy disk size
- f/4
- 5.4 µm
- f/8
- 10.7 µm
- f/11
- 14.8 µm
- f/16
- 21.5 µm
- f/22
- 29.5 µm
Landscapes, in order
- Start
- f/8 to f/11 at the hyperfocal distance
- Foreground still soft
- f/16, fine for screens and small prints
- Very close foreground
- Focus stack instead of f/22
Your lens's sharpest aperture
- Test first
- Wide open, 1 and 2 stops down
- Good starting point
- 2 to 3 stops down