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Lens Focal Length Calculator

Lens Focal Length Calculator

Calculate the approximate lens focal length required for a machine vision camera from target field of view, sensor size, and working distance. It also recommends the closest common lens focal length for first-pass selection.

Input Parameters

Results

Focal Length from Width
9.30233 mm
Focal Length from Height
9.30233 mm
Required Focal Length
9.30233 mm
Nearest Common Lens
8 mm
Magnification
0.032 x
Approx. FOV with Nearest Lens
233.6 x 175.2 mm
Design Note
Select nearest lens then verify actual FOV

Use these results as engineering selection values, then verify with actual lens, camera, PCB, or light-source data as appropriate.

Equations Used

Required focal length:

F = Working Distance / (FOV / Sensor Size + 1)

Covering both width and height:

Use the smaller calculated focal length when the selected lens must cover both requested width and height.

Nearest standard lens:

The calculator compares the required value with common C-mount focal lengths such as 6 mm, 8 mm, 12 mm, 16 mm, 25 mm, 35 mm, and 50 mm.

Frequently Asked Questions (FAQ)

Q1: What does this lens focal length calculator do?
It estimates the focal length needed to capture a required field of view at a given working distance.

Q2: Why does it calculate width and height separately?
A camera sensor and target area both have aspect ratios. The chosen lens must cover the limiting dimension without cropping the target.

Q3: Should I choose the exact calculated focal length?
Usually no. Select the nearest available lens, then check if its actual FOV still covers the target with margin.

Q4: Does this account for lens distortion?
No. Wide-angle and low-cost lenses may have distortion that changes usable FOV and measurement accuracy.

Q5: What else should engineers check?
Check sensor format, mount type, image circle, aperture, working distance, depth of field, distortion, and lens resolution.

Disclaimer: This calculator uses a thin-lens approximation and common focal-length rounding. Final lens choice should be verified with the actual lens datasheet, distortion curve, focus range, sensor format, and machine vision test image.
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