Joint transform correlator: Aberrations in the joint spectrum and their influence on the correlation peak

An approximate but simplified method to evaluate the influence of aberrations in the optical system of the first step of a joint transform correlator on the correlation signals is given. In the optical system of the second step the effects of its aberrations can be easily calculated with classical a...

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Autores principales:	Comastri, Silvia Ana Elba, Simon, Juan Miguel, Fucci, Fabian
Publicado:	1997
Materias:	Aberrations Electromagnetic wave attenuation Electromagnetic wave diffraction Fourier transforms Light scattering Optical correlation Rayleigh scattering Correlation peaks Joint transform correlator (JTC) Optical systems
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09639659_v6_n2_p173_Comastri http://hdl.handle.net/20.500.12110/paper_09639659_v6_n2_p173_Comastri
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_09639659_v6_n2_p173_Comastri
record_format	dspace
spelling	paper:paper_09639659_v6_n2_p173_Comastri2023-06-08T15:58:15Z Joint transform correlator: Aberrations in the joint spectrum and their influence on the correlation peak Comastri, Silvia Ana Elba Simon, Juan Miguel Fucci, Fabian Aberrations Electromagnetic wave attenuation Electromagnetic wave diffraction Fourier transforms Light scattering Optical correlation Rayleigh scattering Correlation peaks Joint transform correlator (JTC) Optical systems An approximate but simplified method to evaluate the influence of aberrations in the optical system of the first step of a joint transform correlator on the correlation signals is given. In the optical system of the second step the effects of its aberrations can be easily calculated with classical aberration theory so that this problem is left aside from the present analysis and this system is considered free from aberrations. The correlation signals are estimated assigning to every spatial frequency which synthesizes the scene (or the target) the wavefront aberration which corresponds to a convenient spatial frequency chosen as that which yields the maximum difference between the wavefront aberrations in the scene and target. Therefore, an upper limit of the attenuation of the correlation peak is obtained and tolerance criteria can be established. The criteria of Rayleigh and of Marechal are extended for the correlator and a numerical method to compute the aberrated correlation signal is developed. As an example, numerical results for the correlation in the presence of each primary aberration when the target and scene are rectangular apertures are shown. © 1997 IOP Publishing Ltd. Fil:Comastri, S.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Simon, J.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Fucci, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09639659_v6_n2_p173_Comastri http://hdl.handle.net/20.500.12110/paper_09639659_v6_n2_p173_Comastri
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Aberrations Electromagnetic wave attenuation Electromagnetic wave diffraction Fourier transforms Light scattering Optical correlation Rayleigh scattering Correlation peaks Joint transform correlator (JTC) Optical systems
spellingShingle	Aberrations Electromagnetic wave attenuation Electromagnetic wave diffraction Fourier transforms Light scattering Optical correlation Rayleigh scattering Correlation peaks Joint transform correlator (JTC) Optical systems Comastri, Silvia Ana Elba Simon, Juan Miguel Fucci, Fabian Joint transform correlator: Aberrations in the joint spectrum and their influence on the correlation peak
topic_facet	Aberrations Electromagnetic wave attenuation Electromagnetic wave diffraction Fourier transforms Light scattering Optical correlation Rayleigh scattering Correlation peaks Joint transform correlator (JTC) Optical systems
description	An approximate but simplified method to evaluate the influence of aberrations in the optical system of the first step of a joint transform correlator on the correlation signals is given. In the optical system of the second step the effects of its aberrations can be easily calculated with classical aberration theory so that this problem is left aside from the present analysis and this system is considered free from aberrations. The correlation signals are estimated assigning to every spatial frequency which synthesizes the scene (or the target) the wavefront aberration which corresponds to a convenient spatial frequency chosen as that which yields the maximum difference between the wavefront aberrations in the scene and target. Therefore, an upper limit of the attenuation of the correlation peak is obtained and tolerance criteria can be established. The criteria of Rayleigh and of Marechal are extended for the correlator and a numerical method to compute the aberrated correlation signal is developed. As an example, numerical results for the correlation in the presence of each primary aberration when the target and scene are rectangular apertures are shown. © 1997 IOP Publishing Ltd.
author	Comastri, Silvia Ana Elba Simon, Juan Miguel Fucci, Fabian
author_facet	Comastri, Silvia Ana Elba Simon, Juan Miguel Fucci, Fabian
author_sort	Comastri, Silvia Ana Elba
title	Joint transform correlator: Aberrations in the joint spectrum and their influence on the correlation peak
title_short	Joint transform correlator: Aberrations in the joint spectrum and their influence on the correlation peak
title_full	Joint transform correlator: Aberrations in the joint spectrum and their influence on the correlation peak
title_fullStr	Joint transform correlator: Aberrations in the joint spectrum and their influence on the correlation peak
title_full_unstemmed	Joint transform correlator: Aberrations in the joint spectrum and their influence on the correlation peak
title_sort	joint transform correlator: aberrations in the joint spectrum and their influence on the correlation peak
publishDate	1997
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09639659_v6_n2_p173_Comastri http://hdl.handle.net/20.500.12110/paper_09639659_v6_n2_p173_Comastri
work_keys_str_mv	AT comastrisilviaanaelba jointtransformcorrelatoraberrationsinthejointspectrumandtheirinfluenceonthecorrelationpeak AT simonjuanmiguel jointtransformcorrelatoraberrationsinthejointspectrumandtheirinfluenceonthecorrelationpeak AT fuccifabian jointtransformcorrelatoraberrationsinthejointspectrumandtheirinfluenceonthecorrelationpeak
_version_	1768542229787312128

Joint transform correlator: Aberrations in the joint spectrum and their influence on the correlation peak

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