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Physical meaning of the radial index of Laguerre-Gauss beams

Autor(en)
William N. Plick, Mario Krenn
Abstrakt

The Laguerre-Gauss modes are a class of fundamental and well-studied optical fields. These stable shape-invariant photons, exhibiting circular-cylindrical symmetry, are familiar from laser optics, micromechanical manipulation, quantum optics, communication, and foundational studies in both classical optics and quantum physics. They are characterized, chiefly, by two mode numbers: the azimuthal index indicating the orbital angular momentum of the beam, which itself has spawned a burgeoning and vibrant subfield, and the radial index, which up until recently has largely been ignored. In this paper we develop a differential operator formalism for dealing with the radial modes in both the position and momentum representations and, more importantly, give the meaning of this quantum number in terms of a well-defined physical parameter: the intrinsic hyperbolic momentum charge.

Organisation(en)
Quantenoptik, Quantennanophysik und Quanteninformation
Externe Organisation(en)
Télécom ParisTech, Österreichische Akademie der Wissenschaften (ÖAW)
Journal
Physical Review A
Band
92
Anzahl der Seiten
10
ISSN
1050-2947
DOI
https://doi.org/10.1103/PhysRevA.92.063841
Publikationsdatum
12-2015
Peer-reviewed
Ja
ÖFOS 2012
103026 Quantenoptik
Schlagwörter
ASJC Scopus Sachgebiete
Atomic and Molecular Physics, and Optics
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/4050d542-c93f-4951-97c6-8ead4fef7a8d