Tailored Light 1 by Reinhart Poprawe Konstantin Boucke & Dieter Hoffman

Author:Reinhart Poprawe, Konstantin Boucke & Dieter Hoffman
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

(5.32)

With this modification the beam radius of the Gaussian beam is reproduced consistently; however, now the beam radii for the higher-order modes deviate slightly from the mathematically consistent definition (Fig. 5.9).

Fig. 5.9A comparison of the three different definitions of the beam radius of higher order modes

A pragmatic definition, and one more relevant for practical use, of the beam radius is based on the measurement of the enclosed power: The beam radius is given by the radius of an aperture allowing 86 % of the total beam power to pass. This definition is very convenient for the experimental characterization of laser beams. However, it is not suitable for a theoretical description or to predict the propagation characteristics of the beam, since it does not establish a relation between the beam radius, on one hand, and the phase distribution or the diffraction characteristics, on the other.

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