Fractional Fourier transform description with use of differential operators
The fractional Fourier transform (FRT) is expressed by means of propagation and thin-lens phase delay operators, and a large number of optical systems associated with it are found. At the same time, the output of optical systems is found in terms of the FRT, and the simplicity of the approach is ill...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 1997 |
| País: | Argentina |
| Recursos: | Comisión de Investigaciones Científicas de la Provincia de Buenos Aires |
| Repositorio: | CIC Digital (CICBA) |
| Idioma: | inglés |
| OAI Identifier: | oai:digital.cic.gba.gob.ar:11746/1149 |
| Acesso em linha: | https://digital.cic.gba.gob.ar/handle/11746/1149 |
| Access Level: | acceso abierto |
| Palavra-chave: | Ciencias Físicas Óptica, Acústica propagation optical systems fractional Fourier transform convolution correlation |
| Resumo: | The fractional Fourier transform (FRT) is expressed by means of propagation and thin-lens phase delay operators, and a large number of optical systems associated with it are found. At the same time, the output of optical systems is found in terms of the FRT, and the simplicity of the approach is illustrated with two examples. Mathematical definitions for the P-order convolution and correlation are proposed as generalizations of the classical ones such that, when the P-order FRT is applied to them, theorems that generalize the classical convolution and correlation are verified. |
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