Flexible optical implementation of fractional Fourier transform processors. Applications to correlation and filtering

Javier García, Rainer G. Dorsch, Adolf W. Lohmann, Carlos Ferreira, Zeev Zalevsky

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

Recently, in the field of fractional Fourier transforms (FRT) an operation coined "fractional correlation" has been proposed and investigated experimentally. In this paper we propose a new setup for obtaining the fractional correlation, which presents several advantages from the experimental point of view. The fractional filter plane can be adjusted accurately with the help of converging beam illumination and using an adjusting device consisting of a combination of Fresnel zone plates. Moreover the scaling factor between the input pattern and the filter can be adjusted at will. This degree of freedom is of special interest when using SLMs. In addition we present a configuration, based on this setup, for spatial filtering of chirp noise in the fractional Fourier domain.

Original languageEnglish
Pages (from-to)393-400
Number of pages8
JournalOptics Communications
Volume133
Issue number1-6
DOIs
StatePublished - 1 Jan 1997
Externally publishedYes

Bibliographical note

Funding Information:
This work was supported by Spanish Comision Interministerial de Ciencia y Tecnologia, under the project TAP!23-0667-103-03.

Keywords

  • Chirp filtering
  • Correlation
  • Fourier transform
  • Fractional Fourier transform
  • Fractional correlation
  • Pattern recognition

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