Gaussian Beam Propagation Calculator:

Enter in the following parameters about the Gaussian beam. You can use scientific notation (e.g. 1550 nm = 1550e-9).

Wavelength (λ):	[m]
Beam Radius (at I_oe^-2):	[m]

Enter the following parameters about your lenses. Enter a negative focal length for convex (beam expanding) lenses. Leave fields blank if a lens is not used.

Typical focal lengths for microscope objectives
1. 10x f=16.5e-3
2. 20x f=9e-3
3. 40x f=4.5e-3
4. 60x f=2.9e-3

Distance to Lens: Focal Length of Lens:

For lens 1 [m] [m]

For lens 2 [m] [m]

For lens 3 [m] [m]

For lens 4 [m] [m]

Enter in the final propagating distance

Final Propagation Distance
(in Meters):

[m]

The following are calculated values of the system

	Beam Radius:	Radius of Curvature:
At lens 1	[m]	[m]
At lens 2	[m]	[m]
At lens 3	[m]	[m]
At lens 4	[m]	[m]
At End of System	[m]	[m]

Equations used above:

These equations are used to calculate the initial radius of curvature (R) and the initial beam radius (W).

In the equations above R is the radius of curvature, W is the beam radius, i is the square root of negative 1 and &lambda is the wavelength.
For a Gaussian beam propagating through a lens A=1, B=0, C=-1/f (where f is the focal length) and D=1.
For a Gaussian beam propagating through air A=1, B=d (where d is the distance), C=0 and D=1.