Gaussian Beam Parameters Calculator

Divergence · Rayleigh range · Beam diameter · Wavefront curvature — with live beam profile

TEM₀₀ first-order model

Laser & Beam Inputs

Wavelength λ

—

Beam waist radius w₀

1/e² radius at waist

Beam quality M²

1 = perfect TEM₀₀

Distance from waist z

along propagation axis

z = 1.00 · z_R

Enter λ and w₀ to see the beam profile. Drag the slider to move along z.

Divergence half-angle θ

—

θ = M²·λ / (π·w₀)

Rayleigh range z_R

—

z_R = π·w₀² / (M²·λ)

Beam diameter @ z_R

—

D = 2√2 · w₀

Beam radius w(z)

—

w(z) = w₀√(1+(z/z_R)²)

Beam diameter D(z)

—

2·w(z)

Wavefront radius R(z)

—

R(z) = z·(1+(z_R/z)²)

Wavelength presets