Divergence Angle Calculator

Calculate Divergence Angle (θ)



Formula

The formula to calculate the Divergence Angle (θ) is:

\[ θ = 2 \cdot \text{atan}\left(\frac{r}{d}\right) \]

Where:

What is a Divergence Angle?

The divergence angle is a measure of how much a beam of light or other radiation spreads out as it travels. It is defined as the angle between the direction of propagation of the beam and the direction in which the beam spreads. A smaller divergence angle indicates a more focused beam, while a larger divergence angle indicates a more spread-out beam. This concept is important in various fields such as optics, laser technology, and antenna theory, where controlling the spread of a beam is crucial for efficient operation.

Example Calculation

Let's assume the following values:

Using the formula to calculate the Divergence Angle:

\[ θ = 2 \cdot \text{atan}\left(\frac{0.05}{10}\right) \approx 0.01 \text{ radians} \]

The Divergence Angle is approximately 0.01 radians.