Find beam quality parameter M2 giving specified beam radius at the same axial distance z and with the same waist radius w0.

M12 5 pin connectorpinout

Lock waist - find such values of free parameters at which the beam waist w0 stays constant when one of the parameters changes.

M12 Connector8Pin

Quadratic equations have two solutions and we have to define a way to point out which solution to take. So the tool has one additional parameter - zone - which can be Near zone or Far zone.

The tool Gauss Beam Calculator computes some free parameters of the Gaussian beam when changing one of its parameters and fixing some others. As it is not possible to make all the parameters to be free, we introduce two fixing modes called Lock waist and Lock front.

M12 5 pinshielded cable

For specified waist radius w0, find such a distance z and beam quality M2 at which the wavefront ROC keeps its previously calculated value.

How to find z: substitute z0 as w0/Vs into formulas for w(z) and R(z), express w0 from both, equate them and solve against z.

M12 connector4pin

For specified z0, find such a distance z and beam quality M2 at which the wavefront ROC keeps its previously calculated value. + sign is for the far zone, - is for the near zone.

How to find z: express w02 from formula for R(z), substitute the expression into formula for w(z) and solve it against z.

Lock front - find such values of free parameters at which the wavefront ROC R and the beam radius w at some axial distance z stay constant when one of the parameters changes.

For specified Vs, find such a distance z and beam quality M2 at which the wavefront ROC keeps its previously calculated value.

M12 connector 5 PinFemale

Changing of real part is equivalent to changing of wavefront ROC R, and changing of imaginary part is equivalent to changing of beam radius w.

Assigning either real or imaginary part of complex beam parameter, we define both the beam radius w and the wavefront ROC R at the same time.