Home Back

Lens Working Distance Calculator Formula

Working Distance Formula:

\[ WD = f \times \left(1 + \frac{1}{M}\right) \]

meters

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is a Lens Working Distance Calculator?

Definition: This calculator determines the working distance (WD) of a lens based on its focal length and the desired magnification.

Purpose: It helps photographers, microscopists, and optical engineers understand the relationship between focal length, magnification, and working distance.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ WD = f \times \left(1 + \frac{1}{M}\right) \]

Where:

Explanation: The working distance increases with focal length and decreases with higher magnification. The formula accounts for the lens-to-subject distance needed to achieve a specific magnification.

3. Importance of Working Distance Calculation

Details: Proper working distance estimation is crucial for equipment setup, lighting arrangement, and ensuring proper focus in imaging systems.

4. Using the Calculator

Tips: Enter the lens focal length in meters and the desired magnification (must be > 0). The calculator will determine the required working distance.

5. Frequently Asked Questions (FAQ)

Q1: What exactly is working distance?
A: Working distance is the distance between the front of the lens and the subject when the lens is focused.

Q2: How does magnification affect working distance?
A: Higher magnification typically requires shorter working distances, while lower magnification allows for longer working distances.

Q3: What's a typical focal length for macro photography?
A: Common macro lenses have focal lengths between 50mm (0.05m) and 200mm (0.2m).

Q4: Can I calculate magnification from working distance?
A: Yes, you can rearrange the formula: \( M = \frac{f}{WD - f} \).

Q5: Does this formula work for all lens types?
A: This applies to simple thin lenses. Complex lens systems may have different relationships between these parameters.

Lens Working Distance Calculator Formula© - All Rights Reserved 2025