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Laser Brightness Calculator

Calculate laser radiance (brightness) from power, beam area or diameter, and divergence angle.

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Laser Brightness (Radiance)

Laser brightness, also called radiance, measures how much optical power passes through a unit area within a unit solid angle. It is essential for laser safety classification, beam quality comparison, and optical system design.

Formula

$$B = \frac{P}{A \cdot \Omega}$$

For small divergence angles, the solid angle is approximated as \(\Omega = \pi \left(\frac{\theta}{2}\right)^2\), where \(\theta\) is the full beam divergence angle in radians, \(P\) is laser power, and \(A\) is the beam cross-sectional area.

Practical Notes

Divergence is often specified in milliradians (mrad). Beam diameter is typically given at the 1/e² intensity points for Gaussian beams. Higher radiance means a more concentrated, brighter beam.

Frequently Asked Questions

What units does radiance use?

Radiance is expressed in watts per square meter per steradian (W/(m²·sr)).

Why use the small-angle approximation?

For typical laser divergences (milliradians), \(\Omega \approx \pi(\theta/2)^2\) is accurate and widely used in engineering calculations.

Can I enter beam area directly?

Yes. Switch to beam area mode if you already know the cross-sectional area instead of the diameter.