`w = w_0 sqrt(1+(( lambda * z )/(pi* w_0 ^2))^2)`

Enter a value for all fields

The Gausian Beam Half-Width calculator computes the beam half width for a Gausian Beam based on the beam waist, distance on the axis, and the wavelength.

INSTRUCTIONS: Choose units and enter the following:

• (w₀) Gausian Beam Waist
• (z) Distance along the optical axis from the beam waist
• (`lambda`)  Beam Wavelength

Gausian Beam Half-Width(w): The calculator return the beam half-width in nano-meters.  However this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

This Gaussian Beam Half-Width equation^{Gaussian Beam Calculator.}

---

Gaussian Beam Calculators

• Rayleigh range 
• Full-angular width (Θ)
• Beam half-width
• Beam Waist

1. ^ Hecht, Eugene. "Modern Optics: Lasers and Other Topics." Optics. Reading, MA: Addison-Wesley, 2002. 618. Print.