// multi-utility computation suite · offline · instant · precise
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sci.laser-beam-divergence Calculator
Calculates laser beam divergence, Rayleigh range, and beam waist propagation using Gaussian beam optics: w(z) = w₀√(1 + (z/z_R)²). Rayleigh range z_R = πw₀²/λ — a 1 mW HeNe laser at 633 nm with 1 mm waist diverges with half-angle 0.2 mrad.
Inputs
Beam Waist Mm
Waist circumference. Elevated waist circumference is a risk factor for metabolic disease independent of total weight.
Wavelength Nm
Distance between successive wave crests. Related to frequency: λ = speed / frequency.
Distance M
Separation between two points or total path length. Check that units are consistent throughout the calculation.
Results
beam radius at
The computed radius -- half the diameter.
full divergence angle (mrad)
The computed angle in degrees or radians.
Rayleigh range (m)
The difference between the maximum and minimum values.
beam diameter at target (mm)
The computed diameter -- twice the radius.
M² beam quality (ideal=1)
A qualitative assessment of how the result compares to the desired standard or benchmark.