Joint transform correlator: Expansion of the aberration function for a compact design

A method to compute the aberrations of any order introduced into an optical system which performs the first Fourier transform in a joint transform correlator is described. The optical system considered is illuminated by a quasimonochromatic axial point source and it optically processes a structure p...

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Detalles Bibliográficos
Autor principal: Comastri, Silvia Ana Elva
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: Springer 1995
Acceso en línea:Registro en Scopus
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Registro en la Biblioteca Digital
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100 1 |a Comastri, Silvia Ana Elva 
245 1 0 |a Joint transform correlator: Expansion of the aberration function for a compact design 
260 |b Springer  |c 1995 
270 1 0 |m Comastri, S.A.; Fac. de Ciencias Exactas y Naturales, Buenos Aires Univ.Argentina 
504 |a Weaver, CS, Goodman, JW, A Technique for Optically Convolving Two Functions (1966) Applied Optics, 5 (7), pp. 1248-1249 
504 |a Blandford, BAF, (1969); Ratto, JO, Simon, JM, (1981) Opt. Acta, 28 (10), pp. 1313-1320 
504 |a Ratto, JO, Simon, JM, (1983) Optik, 64 (3), pp. 219-232 
504 |a Simon, JM, Ratto, JO, (1985) Optik, 71 (3), pp. 119-120 
504 |a Ledesma, SA, Simon, JM, (1990) Optik, 84 (1), pp. 11-16 
504 |a Simon, JM, Comastri, SA, Seidel Aberrations in Optical Processors Due to Diffraction of a Quasi-spherical Wavefront (1994) Journal of Modern Optics, 41 (1), pp. 137-150 
504 |a Hopkins, HH, (1965) Japan. J. Appl. Phys., 4, pp. 31-35 
504 |a Comastri, SA, Simon, JM, (1994) Optik, 98 (1), pp. 31-38 
504 |a Born, Wolf, (1975); Goodman, JW, (1968); Hecht, E, Zajac, A, (1977) Optica, Fondo Educativo Interamericano S. A., Mexico 
504 |a Longhurst, RS, (1973); Jamieson, TH, (1971) 
506 |2 openaire  |e Política editorial 
520 3 |a A method to compute the aberrations of any order introduced into an optical system which performs the first Fourier transform in a joint transform correlator is described. The optical system considered is illuminated by a quasimonochromatic axial point source and it optically processes a structure placed between two centred optical systems, A and B. The structure acts as an aperture stop, its plane is perpendicular to the optical axis of A and B and it consists of two rectangular displays (object and sample) placed symmetrically with respect to this axis. Each display can be considered as a superposition of sinusoidal gratings of different spatial frequencies and orientations. The aberrations which correspond to each spatial frequency must be evaluated separately for the object (scene) and for the sample (target) and then the device is neither centred nor symmetric. Here it is shown that the aberration function for one of the displays and a given spatial frequency can be expanded in Zernike's polynomials considering both the usual symmetric terms and the non-symmetric ones and assuming that the aperture stop is the circle which contains the display. Moreover, if the optical system which performs the second Fourier transform in the correlator is free from aberrations, it is shown that a criterion which can be used to ensure that an accurate correlation signal is obtained is that the difference between the wavefront aberrations introduced in both displays is less than a quarter of a wavelength.  |l eng 
593 |a Fac. de Ciencias Exactas y Naturales, Buenos Aires Univ., Argentina 
690 1 0 |a ABERRATION FUNCTION 
690 1 0 |a JOINT TRANSFORM CORRELATOR 
690 1 0 |a OPTICAL AXIS 
690 1 0 |a ZERNIKE POLYNOMIALS 
690 1 0 |a ABERRATIONS 
690 1 0 |a DIFFRACTION GRATINGS 
690 1 0 |a FOURIER TRANSFORMS 
690 1 0 |a FREQUENCIES 
690 1 0 |a OPTICAL DESIGN 
690 1 0 |a OPTICAL SYSTEMS 
690 1 0 |a POLYNOMIALS 
690 1 0 |a OPTICAL CORRELATION 
773 0 |d Springer, 1995  |g v. 4  |h pp. 753-770  |k n. 6  |x 09639659  |t Pure and Applied Optics: Journal of the European Optical Society Part A 
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