RT Journal Article
T1 Fractional transforms in optical information processing.
A1 Bastiaans, Martin J.
A1 Alieva Krasheninnikova, Tatiana
A1 Calvo Padilla, María Luisa
AB We review the progress achieved in optical information processing during the last decade by applying fractional linear integral transforms. The fractional Fourier transform and its applications for phase retrieval, beam characterization, space-variant pattern recognition, adaptive filter design, encryption, watermarking, and so forth is discussed in detail. A general algorithm for the fractionalization of linear cyclic integral transforms is introduced and it is shown that they can be fractionalized in an infinite number of ways. Basic properties of fractional cyclic transforms are considered. The implementation of some fractional transforms in optics, such as fractional Hankel, sine, cosine, Hartley, and Hilbert transforms, is discussed. New horizons of the application of fractional transforms for optical information processing are underlined.
PB Hindawi Publishing Corporation
SN 1110-8657
YR 2005
FD 2005-07-01
LK https://hdl.handle.net/20.500.14352/51050
UL https://hdl.handle.net/20.500.14352/51050
LA eng
NO © 2005 Tatiana Alieva et al.This work has been financially supported partially by the project TIC 2002-01846 from the Spanish Ministry of Education and Science and by the project IST-2001-34168 “Two dimensional optical storage for high density and high data rate” from the European Commission. T. Alieva thanks the Spanish Ministry of Science and Technology (“Ramon y Cajal”grant).
NO Ministerio de Educación y Ciencia (MEC), España
NO Comisión Europea
NO Ministerio de Ciencia y Tecnología, España
DS Docta Complutense
RD 7 abr 2025