Gaussian beam propagation calculator
A Gaussian beam with M² through a thin lens, from the ABCD transform: spot radius at the work distance, new waist size and position, Rayleigh range and divergence on each side of the lens.
- Beam with this M²
- M² = 1, same waist
- Far-field asymptote
- Work plane
Drag the lens along the axis
Distance from the new waist (mm)
Spot radius at the work distance w(d)
118µm
M² = 1, same waist: 90.5 µm
Before the lens
- Rayleigh range zR
- 177 mm
- Divergence, half-angle θ
- 1.69 mrad
- Radius at the lens w(s)
- 590 µm
After the lens
- New waist radius w₀′
- 112 µm
- New waist position s′
- 128 mmafter the lens
- Rayleigh range zR′
- 24.8 mm
- Divergence, half-angle θ′
- 4.52 mrad
Live controls need JavaScript
Spot radius 118 µm at 120 mm after a 100 mm lens placed 300 mm from the waist; new waist 112 µm, 128 mm after the lens.
Discuss an application note
The free review recommends three documents or tools for your site, with a price for the first project.