Ball Lens Focal Length Calculator

Formula

To calculate the Ball Lens Focal Length (\(BLFL\)):

\[ BLFL = \frac{n \times D}{4 \times (n - 1)} \]

Where:

\(BLFL\) is the Ball Lens Focal Length
\(n\) is the Refractive Index
\(D\) is the Diameter of the Ball Lens

What is Ball Lens Focal Length?

A ball lens focal length is defined as the effective focal length from the focal point to the center of a ball lens. It is an important parameter in optical systems where ball lenses are used to focus or collimate light.

Example Calculation 1

Let's assume the following values:

Refractive Index (\(n\)) = 1.5
Diameter of the Ball Lens (\(D\)) = 10 mm

Using the formula:

\[ BLFL = \frac{1.5 \times 10}{4 \times (1.5 - 1)} = 7.5 \]

The Ball Lens Focal Length is 7.5 mm.

Example Calculation 2

Let's assume the following values:

Refractive Index (\(n\)) = 2
Diameter of the Ball Lens (\(D\)) = 8 mm

Using the formula:

\[ BLFL = \frac{2 \times 8}{4 \times (2 - 1)} = 4 \]

The Ball Lens Focal Length is 4 mm.