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Please use this identifier to cite or link to this item: http://hdl.handle.net/11154/1008

Title: Rotation and gyration of finite two-dimensional modes
Authors: Wolf, KB
Alieva, T
Issue Date: 2008
Abstract: Hermite-Gauss and Laguerre-Gauss modes of a continuous optical field in two dimensions can be obtained from each other through paraxial optical setups that produce rotations in (four-dimensional) phase space. These transformations build the SU(2) Fourier group that is represented by rigid rotations of the Poincare sphere. In finite systems, where the emitters and the sensors are in N x N square pixellated arrays, one defines corresponding finite orthonormal and complete sets of two-dimensional Kravchuk modes. Through the importation of symmetry from the continuous case, the transformations of the Fourier group are applied on the finite modes. (C) 2008 Optical Society of America.
URI: http://hdl.handle.net/11154/1008
ISSN: 1084-7529
Appears in Collections:Ciencias

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