Platonic Gaussian beams: wave and ray treatment | Zendy

Rodrigo Gutiérrez–Cuevas | Zendy; Miguel A. Alonso | Zendy

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Platonic Gaussian beams: wave and ray treatment

Author(s) -

Rodrigo Gutiérrez–Cuevas,

Miguel A. Alonso

Publication year - 2020

Publication title -

optics letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.524

H-Index - 272

eISSN - 1071-2763

pISSN - 0146-9592

DOI - 10.1364/ol.405988

Subject(s) - gaussian , optics , physics , homogeneous space , representation (politics) , transformation (genetics) , majorana , rotational invariance , class (philosophy) , quantum mechanics , geometry , mathematics , computer science , fermion , biochemistry , chemistry , artificial intelligence , politics , political science , law , gene

A class of self-similar beams, the Platonic Gaussian beams, is introduced by using the vertices of the Platonic solids in a Majorana representation. Different orientations of the solids correspond to beams with different profiles connected through astigmatic transformations. The rotational symmetries of the Platonic solids translate into invariance to specific optical transformations. While these beams can be considered as "the least ray-like" for their given total order, a ray-based description still offers insight into their distribution and their transformation properties.

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