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Lens Thickness Calculator Opticampus

Lens Thickness Formula:

\[ Thickness = (r - \sqrt{r^2 - (d/2)^2}) \times 2 \]

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mm

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1. What is Lens Thickness Calculation?

The lens thickness calculation determines the center thickness of a lens based on its radius of curvature and diameter. This is important in optics for designing and manufacturing lenses with specific properties.

2. How Does the Calculator Work?

The calculator uses the lens thickness formula:

\[ Thickness = (r - \sqrt{r^2 - (d/2)^2}) \times 2 \]

Where:

Explanation: The formula calculates the sagitta (sag) of the lens surface and doubles it to get the center thickness.

3. Importance of Lens Thickness

Details: Lens thickness affects optical performance, weight, and physical dimensions of optical systems. Accurate thickness calculation is crucial for proper lens design and manufacturing.

4. Using the Calculator

Tips: Enter the radius of curvature and diameter in millimeters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: The calculator uses millimeters for both radius and diameter measurements.

Q2: Can I use this for concave lenses?
A: Yes, the same formula applies to both convex and concave lenses.

Q3: What if my diameter is larger than twice the radius?
A: The calculation will result in an imaginary number, as this would require an impossible lens shape.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise for spherical surfaces.

Q5: Does this account for lens material refractive index?
A: No, this calculates only geometric thickness. Optical thickness would require considering refractive index.

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