Equivalent Aperture: How Crop Factor Affects Bokeh and Light Gathering
A deep dive into equivalent aperture — why a phone's F1.8 is not the same as a full-frame F1.8, and how to compare them fairly.
Many phone manufacturers advertise "F1.8 main camera" as if it were comparable to a full-frame F1.8 lens. It's not even close.
Why You Can't Compare Aperture Directly
The F-number definition is straightforward:
F = focal length / effective aperture diameter
The problem: F-number only uses physical focal length, but different sensor sizes require drastically different focal lengths to achieve the same field of view. Smaller sensor → shorter focal length → smaller aperture diameter — even at the same F-number.
Example:
- Full-frame 50mm F1.8: aperture diameter = 50 / 1.8 ≈ 27.8mm
- 1/1.3" phone main 8.6mm F1.8: aperture diameter = 8.6 / 1.8 ≈ 4.8mm
Same F1.8 label, nearly 6x difference in light-gathering area. This is why phone low-light quality can't match full-frame cameras.
The Equivalent Aperture Formula
Equivalent Aperture = Physical Aperture × Crop Factor
Crop Factor = Full-frame diagonal (43.27mm) / Sensor actual diagonal.
PhoneCameraData uses a dual-threshold rule:
- Sensor denominator ≤ 2.0 (larger sensors) → diagonal = 16mm / denominator
- Sensor denominator > 2.0 (smaller sensors) → diagonal = 18mm / denominator
Example Calculation
Xiaomi 17 Ultra main camera (LYT-900, 1/0.98"):
- Sensor diagonal ≈ 16 / 0.98 ≈ 16.33mm
- Crop factor = 43.27mm / 16.33mm ≈ 2.65
- Physical aperture F1.6 → equivalent aperture ≈ F4.2
So this flagship main camera has bokeh and low-light capability roughly equivalent to full-frame F4.2.
Practical Implications
Bokeh (Depth of Field): Equivalent aperture directly predicts background blur. An equivalent F4.0 phone main camera produces blur similar to full-frame F4.0 — noticeable but nowhere near an F1.4 full-frame lens.
Signal-to-Noise (Low Light): At the same shutter speed, total light gathered depends on aperture diameter. Phones with lower equivalent F-numbers perform better in low light.
Try the Simulator
Drag the aperture and crop factor sliders to see how equivalent aperture and bokeh blur change in real-time.
Open the "Aperture Bokeh Simulator" in Related Tools on the right.