Rayleigh Range

z_{R} = \frac{π \cdot w_{0}^{2}}{λ}

$z_R = (pi * w_0 ^2)/ lambda$

(w_{0}) The beam waist

$(w_0)"The beam waist"$

(λ) The wavelength

$(lambda)"The wavelength"$

Tags

The Rayleigh Range calculator computes the distance (z_R) along the propagation direction of a beam from the waist to the place where the area of the cross section is doubled.

INSTRUCTIONS: Choose units and enter the following:

(λ) This is the wavelength
(w₀) This is the beam waist

Rayleigh Range (z_R): The calculator returns the range in millimeters. However, this can be automatically converted to other length units via the pull-down menu.

The Math / Science

The Rayleigh Range equation^{Gaussian Beam Calculator.}

Gaussian Beam Calculators

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

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