Eigenfunctions of the complex fractional Fourier transform obtained in the context of quantum optics.
J Opt Soc Am A Opt Image Sci Vis
; 25(4): 974-8, 2008 Apr.
Article
em En
| MEDLINE
| ID: mdl-18382497
ABSTRACT
We employ the recently established basis (the two-variable Hermite-Gaussian function) of the generalized Bargmann space (BGBS) [Phys. Lett. A303, 311 (2002)] to study the generalized form of the fractional Fourier transform (FRFT). By using the technique of integration within an ordered product of operators and the bipartite entangled-state representations, we derive the generalized generating function of the BGBS with which the undecomposable kernel of the two-dimensional FRFT [also named complex fractional Fourier transform (CFRFT)] is obtained. This approach naturally shows that the BGBS is just the eigenfunction of the CFRFT.
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Base de dados:
MEDLINE
Idioma:
En
Revista:
J Opt Soc Am A Opt Image Sci Vis
Assunto da revista:
OFTALMOLOGIA
Ano de publicação:
2008
Tipo de documento:
Article
País de afiliação:
China