Spatial distribution of a Gaussian beam
Calculator of Gaussian beam
Calculator of Gaussian beam
Parameter calc.
Program info
Main formulas
References
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1. Laser wavelength λ: nm 2. Waist radius ω0: mm 3. Distance from waist z: mm | |
| Illustrated version | |
This program is used to calculate the spatial distribution of a Gaussian beam.
Function: calculate far-field divergence angle, Rayleigh length, beam radius at distance z from the waist, and wavefront radius of curvature at z.
Function: calculate far-field divergence angle, Rayleigh length, beam radius at distance z from the waist, and wavefront radius of curvature at z.
1. Far-field divergence angle:
$${\theta} =\frac{2\lambda}{\pi w_0}$$
2. Rayleigh length:
$${Z_R} =\frac{\pi w^2_0}{\lambda}$$
3. Beam radius at distance z from the waist:
$${w_z} ={w_0}\sqrt{1+{(\frac{z}{Z_R})}^2}$$
4. Wavefront radius of curvature at distance z from the waist:
$${R_z} ={z}[{1+{(\frac{Z_R}{z})}^2}]$$
where ω0 is the beam waist radius, θ is the far-field divergence angle, λ is the wavelength, ZR is the Rayleigh length, ωz is the beam radius at z, and Rz is the wavefront radius of curvature.