Tomographic directional derivative of phase objects slices using 1-D derivative spatial filtering of fractional order ½

G. Rodríguez-Zurita; C. Meneses-Fabián; J.-S. Pérez-Huerta; J.-F. Vázquez-Castillo

doi:10.1117/12.668139

20 January 2006 Tomographic directional derivative of phase objects slices using 1-D derivative spatial filtering of fractional order 1/2

G. Rodríguez-Zurita, C. Meneses-Fabián, J.-S. Pérez-Huerta, J.-F. Vázquez-Castillo

Author Affiliations +

Proceedings Volume 6027, ICO20: Optical Information Processing; 60271K (2006) https://doi.org/10.1117/12.668139
Event: ICO20:Optical Devices and Instruments, 2005, Changchun, China

Abstract

Optical tomography of phase objects could be carried out with optical derivatives at the phase detecting stage. A particularly convenient related technique is the use of a fractional derivative of fractional order 1/2, which consists of a spatial filter with square-root amplitude transmittance. An advantage of this type of filter is that it can be implemented as a real filter when dealing with phase objects. Irradiance is proportional to the phase derivative of order one, and it can be obtained. If a tomographic detection system is equiped with such a filter, phase gradient of projections can be determined, and directional derivatives of phase slices can be displayed. Slice images resulting from an experimental tomographic system for parallel projections includes a spatial filter. with square-root amplitude transmittance made from a liquid crystal display operating in amplitude modulation are shown.

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G. Rodríguez-Zurita, C. Meneses-Fabián, J.-S. Pérez-Huerta, and J.-F. Vázquez-Castillo "Tomographic directional derivative of phase objects slices using 1-D derivative spatial filtering of fractional order 1/2", Proc. SPIE 6027, ICO20: Optical Information Processing, 60271K (20 January 2006); https://doi.org/10.1117/12.668139

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