GaussianBeam

class raytracing.GaussianBeam(q: complex = None, w: float = None, R: float = inf, n: float = 1.0, wavelength=0.0006328, z=0)

Bases: object

A gaussian laser beam using the ABCD formalism for propagation of complex radius of curvature q.

Parameters:

q (complex) – The complex beam parameter (default=None)
w (float) – The 1/e beam size in electric field extracted from q. (default=None)
R (float) – The radius of curvature (positive means diverging) extracted from q. (default=+Inf)
n (float) – The index of refraction in which the beam is. (default=1.0)
wavelength (float) – The wave length of the laser beam. This parameter is necessary to compute the beam size (default=632.8e-6)
z (float) – The axial distance from the waist (default=0)

isClipped

The formalism of gaussian beams does not consider any apertures: the beam remains gaussian no matter what. This variable will indicate if the beam diameter was too close to the apertures in the system.

Type:: bool

Notes

wavelength and z must be in the same units.

property R: The radius of curvature (positive means diverging) extracted from q.

property confocalParameter: The same as rayleighRange.

property isFinite: Using the complex radius, the imaginary part of -1/q is the beam size. If this value is negative, the calculation will yield a exp(x**2/w**2) which grows exponentially instead of being a gaussian. Hence, this is not a finite and reasonable complex radius. This is used for resonator and cavity calculations to discard unphysical solutions.

property rayleighRange: Returns the rayleigh range of the beam.

property w: The 1/e beam size in electric field extracted from q.

property waist: The same as the wo.

property waistPosition: The position of the waist of the beam.

property wo: The 1/e beam size in electric field extracted from q at the waist of the beam.

property zo: The same as rayleighRange.

Methods

__init__([q, w, R, n, wavelength, z])

Inherited Methods

Attributes

`R`	The radius of curvature (positive means diverging) extracted from q.
`confocalParameter`	The same as rayleighRange.
`isFinite`	Using the complex radius, the imaginary part of -1/q is the beam size.
`rayleighRange`	Returns the rayleigh range of the beam.
`w`	The 1/e beam size in electric field extracted from q.
`waist`	The same as the wo.
`waistPosition`	The position of the waist of the beam.
`wo`	The 1/e beam size in electric field extracted from q at the waist of the beam.
`zo`	The same as rayleighRange.