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LINEAR AND RADIAL SPATIAL CARRIER ANALYSIS OF INTERFEROGRAMS
Jorge Garcia-Marquez
Daniel Malacara_Hernández
Acceso Abierto
Atribución-NoComercial-SinDerivadas
Pattern analysis
Interferograms
Fringe analysis methods
Spatial radial carrier
Linear carrier
Holography
"The importance of aspheres is growing up every day, it can be seen in different fields from ophthalmology to astronomy, in the laboratory and in fiber optic communications. It is well known that the quality in optical manufacturing depends on the accuracy of the method used to test. The aim ofthis thesis is to test aspheric wavefronts in a simple way. It means without the intrinsic restrictions of introducing a linear carrier frequency ( e.g by tilting a reference surface) nor those when taking several frames (Phase Shifting Interferometry). The importance ofthe analysis ofinterferograms with the introduction of a reference carrier frequency will be explained here with sorne detail. In chapter one an introduction to the main techniques on single pattern analysis is made. A comparison between a single pattern analysis and multiple pattern analysis techniques is also done. It is well k:nown that an interferogram can be demodulated to find the wavefront shape if a linear carrier is introduced. In chapter two it is shown that the interferogram can also be demoduJated if it has many closed fringes or a circular carrier appear. The demodulation is made in the space domain, as opposed to demodulation in the Fourier space, but the low pass filter characteristics must be properly chosen. For academic purposes an holographic analogy of this demodulation process is al so presented, which shows that the common technique of multiplying by a sine and a cosine function is equivalent to holographically reconstructing with a flat tilted wavefront. Alternatively, a defocused (spherical) wavefront can be used as a reference to perform the reconstruction or demodulation of sorne closed fringe interferograms. In addition to this, an analysis of the Root Mean Square Error (RMS error) is presented and an algorithm to reduce this error in the phase demodulation process is proposed."
1998-11
Tesis de doctorado
Inglés
León, Guanajuato
Público en general
García Márquez, (1998). "Linear and radial spatial carrier analysis of interferograms". Tesis de Doctorado en Ciencias (Óptica). Centro de Investigaciones en Óptica, A.C. León, Guanajuato. 89 pp.
ÓPTICA
Versión publicada
publishedVersion - Versión publicada
Aparece en las colecciones: DOCTORADO EN CIENCIAS (ÓPTICA)

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