2015
DOI: 10.1103/physreva.92.063841
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Physical meaning of the radial index of Laguerre-Gauss beams

Abstract: 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, micro-mechanical manipulation, quantum optics, communication, and foundational studies in both classical optics and quantum physics. They are characterized, chiefly, by two modes numbers: the azimuthal index indicating the orbital angular momentum of the beam - which itself has spawned a burgeoning and vibrant sub… Show more

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Cited by 98 publications
(62 citation statements)
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“…However, the radial index p has to be included in the mode summation, for generality and completeness of the modal decomposition [14]. Indeed, there has been a recent surge in interest in the radial term, and it has been sought to substantiate the role p can play in informatics [15][16][17]. Of course, l and p both feature in the detailed form of the LaguerreGaussian radial distribution:…”
mentioning
confidence: 99%
“…However, the radial index p has to be included in the mode summation, for generality and completeness of the modal decomposition [14]. Indeed, there has been a recent surge in interest in the radial term, and it has been sought to substantiate the role p can play in informatics [15][16][17]. Of course, l and p both feature in the detailed form of the LaguerreGaussian radial distribution:…”
mentioning
confidence: 99%
“…Recently, however, it has been acknowledged that index p is more important than initially thought and, as a result, its role has seen a growth in interest. 25,26 The il e φ factor in the analytic signal for LG modes is consistent with the orthogonality of modes with different topological charge, reflected in the δ ′ ll factor in the photon commutation relation. It is the orthogonality of disparate modes -through either their radial or angular functions, or both -that offers the basis for determining the requisite information content in a detected beam.…”
Section: Orthogonal Modes and Quantum Commutationmentioning
confidence: 64%
“…Equation 16 is the first important result of this work. It helps to characterise space-variant polarised beams.…”
Section: Global Parameters and Invariants For The Characterisation Ofmentioning
confidence: 79%