6533b838fe1ef96bd12a4e5a
RESEARCH PRODUCT
Variable fractional Fourier processor: a simple implementation
Genaro SaavedraWalter D. FurlanAdolf W. LohmannPedro Andréssubject
Spatial filterbusiness.industryComputer scienceTopologyAtomic and Molecular Physics and OpticsFractional Fourier transformElectronic Optical and Magnetic Materialslaw.inventionLens (optics)Optical axissymbols.namesakeFourier transformOpticsTransformation (function)CascadelawMathematics::Quantum AlgebrasymbolsComputer Vision and Pattern RecognitionbusinessRotation (mathematics)description
A new set of optical implementations of the fractional Fourier transform (FRT) is developed by use of Wigner matrix algebra. The reinterpretation of some elementary operations that synthesize a rotation in the phase-space domain allows us to propose a lensless setup for obtaining the FRT. This compact configuration is also very flexible, because the fractional degree of the transformation can be varied continuously by shifting the input and the output planes along the optical axis by proper amounts. The above results permit one to build an optical FRT processor formed by two FRT systems in cascade, with a spatial filter between them. We present the design of such a variable FRT processor, which contains only one lens.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-04-01 | Journal of the Optical Society of America A |