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| dc.contributor.author | Abe, Sumiyoshi | |
| dc.contributor.author | Sheridan, John T. | |
| dc.date.accessioned | 2011-11-22T16:49:56Z | |
| dc.date.available | 2011-11-22T16:49:56Z | |
| dc.date.copyright | 1994 Optical Society of America | en |
| dc.date.issued | 1994-11-15 | |
| dc.identifier.citation | Optics Letters | en |
| dc.identifier.issn | 0146-9592 (print) | |
| dc.identifier.issn | 1539-4794 (online) | |
| dc.identifier.uri | http://hdl.handle.net/10197/3330 | |
| dc.description.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. | en |
| dc.description.sponsorship | Other funder | en |
| dc.format.extent | 327117 bytes | |
| dc.format.extent | 1072 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.format.mimetype | text/plain | |
| dc.language.iso | en | en |
| dc.publisher | Optical Society of America | en |
| dc.rights | This paper was published in Optical Letters and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/abstract.cfm?URI=ol-19-22-1801. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law. | en |
| dc.subject.lcsh | Fourier transformations | en |
| dc.subject.lcsh | Abelian groups | en |
| dc.title | Optical operations on wave functions as the Abelian subgroups of the special affine Fourier transformation | en |
| dc.type | Journal Article | en |
| dc.internal.availability | Full text available | en |
| dc.internal.webversions | Publisher's version | en |
| dc.internal.webversions | http://dx.doi.org/10.1364/OL.19.001801 | en |
| dc.status | Not peer reviewed | en |
| dc.identifier.volume | 19 | en |
| dc.identifier.issue | 22 | en |
| dc.identifier.startpage | 1801 | en |
| dc.identifier.endpage | 1803 | en |
| dc.identifier.doi | 10.1364/OL.19.001801 | |
| dc.neeo.contributor | Abe|Sumiyoshi|aut| | en |
| dc.neeo.contributor | Sheridan|John T.|aut| | en |
| dc.description.othersponsorship | Futaba Electronics Memorial Foundation | en |
| dc.description.othersponsorship | European Commission | en |
| dc.description.admin | pe, la, sp, ke, is, en - TS 22.11.11 | en |
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