Beam Quality Calculator

Calculate focused spot size, Rayleigh range, divergence, and irradiance for real beams with M\u00b2 correction.

Input
Beam Propagation (M\u00b2 corrected)
Rayleigh range
z_R = \u03c0w\u2080\u00b2 / (M\u00b2\u03bb)
615.1mm
Full-angle divergence
2\u03b8 = 2M\u00b2\u03bb / (\u03c0w\u2080)
1.626mrad
Beam radius at z
w(z) = w\u2080\u221a(1 + (z/z_R)\u00b2)
0.6443mm
Peak irradiance at waist
I\u2080 = 2P / (\u03c0w\u2080\u00b2)
1273W/cm\u00b2
BPP
BPP = w\u2080 \u00d7 \u03b8
0.4064mm\u00b7mrad
Ideal Beam Comparison (M\u00b2 = 1)
Rayleigh range (ideal)
738.2mm
Full-angle divergence (ideal)
1.355mrad
Beam radius at z (ideal)
0.6039mm
Abridged Optics — Beam Quality Calculator v1.0M\u00b2 \u2265 1 \u00b7 All radii are 1/e\u00b2 \u00b7 Gaussian TEM\u2080\u2080 assumed

All information, equations, and calculations have been compiled and verified to the best of our ability. For mission-critical applications, we recommend independent verification of all values. If you find an error, please let us know.