Optical operations on wave functions as the Abelian subgroups of the special affine Fourier transformation
Files in This Item:
|Optical operations on wave functions as the Abelian subgroups of the special affine Fourier transformation.pdf||319.45 kB||Adobe PDF||Download|
|Title:||Optical operations on wave functions as the Abelian subgroups of the special affine Fourier transformation||Authors:||Abe, Sumiyoshi
Sheridan, John T.
|Permanent link:||http://hdl.handle.net/10197/3330||Date:||15-Nov-1994||Online since:||2011-11-22T16:49:56Z||Abstract:||The special affine Fourier transformation (SAFT) is a generalization of the fractional Fourier transformation (FRT) and represents the most general lossless inhomogeneous linear mapping, in phase space, as the integral transformation of a wave function. Here we first summarize the most well-known optical operations on lightwave functions (i.e., the FRT, lens transformation, free-space propagation, and magnification), in a unified way, from the viewpoint of the one-parameter Abelian subgroups of the SAFT. Then we present a new operation, which is the Lorentz-type hyperbolic transformation in phase space and exhibits squeezing. We also show that the SAFT including these five operations can be generated from any two independent operations.||Funding Details:||Other funder||Type of material:||Journal Article||Publisher:||Optical Society of America||Journal:||Optics Letters||Volume:||19||Issue:||22||Start page:||1801||End page:||1803||Copyright (published version):||1994 Optical Society of America||Subject LCSH:||Fourier transformations
|DOI:||10.1364/OL.19.001801||Other versions:||http://dx.doi.org/10.1364/OL.19.001801||Language:||en||Status of Item:||Not peer reviewed|
|Appears in Collections:||Electrical and Electronic Engineering Research Collection|
Show full item record
This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. For other possible restrictions on use please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.