期刊
PHYSICAL REVIEW A
卷 92, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.92.063841
关键词
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资金
- Austrian Academy of Sciences
- European Research Council [600645 EU-FP7-ICT]
- Austrian Science Fund with SFB F40
- ERC [QIT4QAD]
- French National Research Agency through the project COMB [ANR-13- BS04-0014]
- Agence Nationale de la Recherche (ANR) [ANR-13-BS04-0014] Funding Source: Agence Nationale de la Recherche (ANR)
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.
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