Gaussian Beam Propagation calculator
Beam radius w(z), ROC R(z) at distance z from waist, and far-field divergence.
Category: Diffraction & Waves
Formula: w(z) = w₀·√(1+(z/zR)²) · θ = λ/(π·w₀)
Inputs
| Input | Parameter | Unit | Default |
|---|---|---|---|
| Waist w₀ | w0 | µm | 100 |
| λ | lam | nm | 1064 |
| Distance z | z | mm | 100 |
Result with the default inputs
- w(z): 353.1364 µm
- Rayleigh zR: 29.5262 mm
- ROC R(z): 108.718 mm
- Half-angle div.: 3.3868 mrad
Open it with your own values: put each input in the address as a parameter, for example /calculators/gaussian-beam-propagation?w0=100. A unit other than the listed one goes in <parameter>_unit.
Read more: Wikipedia: Gaussian beam