Abstract
A set of rotationally symmetric, paraxial gamma and gamma-coupled beams [introduced in Appl. Opt.57, 3653 (2018)APOPAI0003-693510.1364/AO.57.003653] is extended with other well-focused higher-order beams described by the gamma and gamma-coupled functions with extra free parameters. A computer simulation of the propagation characteristics of some new parametrically optimized higher-order beams with a sharp central peak demonstrates that, in relation to the previous gamma and gamma-coupled beams, most of the new beams have elevated levels of sidelobes in the waist plane. At the same time, the new beams have far more propagation stability over an extended depth of field. In relation to similar Bessel-Gauss beams, these beams have a much better spatial localization of their energy.
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