Generalized holographic formation of a lensless Fourier transform. 3: Spherical wave illumination.

A generalized analysis, using the Vander Lugt operational notation, of the building block optical system comprising a single holographic optical element (HOE) for achieving simultaneous display of the spectrum and the image of an object in a single plane, has been carried out. The salient features of this analysis are: (1) it allows comprehensive characterization of the HOE, (2) it provides insights into the many possible configurations for the system, and (3) it explains the existing results in a consistent manner.

Simultaneous display of image and spectrum in the same plane: a generalized analysis

On propose une methode simple pour obtenir simultanement et dans le meme plan l'image et la transformee de Fourier d'un objet avec seulement une onde d'eclairage utilisant les proprietes de diffraction des reseaux zones circulaires

Simultaneously image and Fourier transform by circular zone plates: a simple method

Hoe/lensless matched spatial filter wavelength-scaling correlator

A scaling correlator optical pattern recognition system is described in which a lensless matched spatial filter (with the second Fourier transform lens and the matched spatial filter recorded on the same plate) is used with a first Fourier transform lens that is also an holographic optical element. The matched spatial filter is recorded at one wavelength and correlation is obtained at a second wavelength. Experimental demonstration and output correlation SNR data are reported, together with a comparison of the system's noise level using conventional optics and holographic elements.

S. Guel-Sandoval

Papers

Generalized holographic formation of a lensless Fourier transform. 2: Wavelength variation