RT Journal Article
T1 Rotation and gyration of finite two-dimensional modes
A1 Wolf, Kurt Bernardo
A1 Alieva Krasheninnikova, Tatiana
AB 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.
PB Optical Society of America
SN 1084-7529
YR 2008
FD 2008-02-01
LK https://hdl.handle.net/20.500.14352/51265
UL https://hdl.handle.net/20.500.14352/51265
LA eng
NO © 2008 Optical Society of America. T. Alieva acknowledges the Spanish Ministry of Education and Science for financial support (project TEC 2005- 02180/MIC). K. B. Wolf acknowledges the support of the SEP-CONACYT (México) project IN102603 “Óptica Matemática.” The authors are grateful to the UCM/ UNAM Collaboration Agreement for making this joint work possible. We appreciate Guillermo Krötzsch for assistance with the graphics, and Luis Edgar Vicent for Figs. 2 and 5.
NO Spanish Ministry of Education and Science
NO SEP-CONACYT (México)
DS Docta Complutense
RD 25 abr 2025