Gaussian Beam Calculator

Input Parameters:
λ = Wavelength
w₀ = Beam waist radius
z = Propagation distance
[Gaussian Beam Diagram Placeholder]
$$ z_R = \frac{\pi w_0^2}{\lambda} $$
zR = ?
$$ w(z) = w_0 \sqrt{1 + \left(\frac{z}{z_R}\right)^2} $$
w(z) = ?
$$ \theta = \frac{\lambda}{\pi w_0} $$
θ = ?
$$ R(z) = z \left[1 + \left(\frac{z_R}{z}\right)^2 \right] $$
R(z) = ?
$$ \omega_R = \sqrt{2} \, w_0 $$
ωR = ?
Output Parameters:
zR = Rayleigh range
w(z) = Beam radius at distance z
θ = Beam divergence
R(z) = Radius of curvature at z
ωR = Rayleigh Half Diameter