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Ince-Gaussian series representation of the two-dimensional fractional Fourier transform.
Bandres, Miguel A; Gutiérrez-Vega, Julio C.
Afiliação
  • Bandres MA; Photonics and Mathematical Optics Group, Tecnológico de Monterrey, Monterrey 64849, Mexico. bandres@gmail.com
Opt Lett ; 30(5): 540-2, 2005 Mar 01.
Article em En | MEDLINE | ID: mdl-15789729
We introduce the Ince-Gaussian series representation of the two-dimensional fractional Fourier transform in elliptical coordinates. A physical interpretation is provided in terms of field propagation in quadratic graded-index media whose eigenmodes in elliptical coordinates are derived for the first time to our knowledge. The kernel of the new series representation is expressed in terms of Ince-Gaussian functions. The equivalence among the Hermite-Gaussian, Laguerre-Gaussian, and Ince-Gaussian series representations is verified by establishing the relation among the three definitions.
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Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Revista: Opt Lett Ano de publicação: 2005 Tipo de documento: Article País de afiliação: México País de publicação: Estados Unidos
Buscar no Google
Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Revista: Opt Lett Ano de publicação: 2005 Tipo de documento: Article País de afiliação: México País de publicação: Estados Unidos