Divergence angle

The divergence angle is the angle at which a light beam or laser spreads out after leaving a source . The greater the divergence angle, the faster the light spreads. This is an important parameter in optics, lasers, and lighting systems.


1. Characteristics of the divergence angle

Measure the spread of a light beam → The larger the angle, the faster the light spreads.
Small divergence = narrow beam → For example in lasers and telescope lamps .
Large divergence = wide spread → For example in LEDs, flashlights and car headlights .
Depending on the light source and lens → Lasers have an extremely small divergence angle , while normal light sources have a much larger one.
Strongly influenced by collimation → The better the collimation, the smaller the divergence angle.


2. How is the divergence angle calculated?

The divergence angle θ \theta can be estimated with:

whereby:

  • D D = diameter of the light source or output aperture.
  • f f = focal length of the lens or optical system.

📌 Rule of thumb: The smaller the aperture and the longer the focal length, the smaller the angle of divergence.

For lasers, a simple approach is often used:

whereby:

  • λ \lambda = wavelength of light.
  • w 0 w_0 = radius of the beam at the exit.

3. Applications of the divergence angle

📍 Laser Systems → Low divergence lasers are used for cutting, measuring and communications .
📍 Projectors and spotlightsLow divergence means longer projection distance with sharp light .
📍 LED lighting and car lampsHigh divergence means wide dispersion for large areas .
📍 Telescope optics → The smaller the divergence, the sharper the image at long distances.
📍 Medical lasers and scanners → For precision applications such as laser eye surgery and LIDAR .


4. Difference between divergence angle and collimation angle

Feature Divergence angle Collimation angle
Meaning How wide a beam of light spreads How well a light beam remains parallel
Size Greater with spreading light sources As small as possible for accurate beams
Example LED lamps, car headlights Lasers, optical systems

📌 Small divergence = Low dispersion = Tight bundle.


💡 In short:
The divergence angle indicates how much a light beam spreads out after leaving the source . The smaller the divergence angle , the more focused the light remains, which is essential for lasers, projection systems, and precision optics .