Numerical calculation of the Fresnel diffraction patterns for periodic objects in measurements with a two-aperture radiometer

José-Germán R Cortés-Reynoso; José Guadalupe Suárez-Romero; Juan Carlos Solorio-Leyva; Juan Bautista Hurtado-Ramos; Eduardo Tepichín-Rodríguez

doi:10.1117/1.2183647

1 March 2006 Numerical calculation of the Fresnel diffraction patterns for periodic objects in measurements with a two-aperture radiometer

José-Germán R Cortés-Reynoso, José Guadalupe Suárez-Romero, Juan Carlos Solorio-Leyva, Juan Bautista Hurtado-Ramos, Eduardo Tepichín-Rodríguez

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Optical Engineering, Vol. 45, Issue 3, 036402 (March 2006). https://doi.org/10.1117/1.2183647

Abstract

We present numerical calculations of the Fresnel diffraction for periodic structures in an optical system with two apertures. In such a system, measurements are affected by the relation between the spatial frequency of the sample and the geometrical parameters involved (i.e., aperture diameters, radiometer-sample distance, in-plane rotation, and translation of the sample). This numerical calculation of the Fresnel diffraction enables us to establish criteria to choose the right geometrical parameters of the system to ensure invariance of the measurements when the sample is rotated or shifted. We use the theory of partial coherence to calculate the Fresnel diffraction through two successive apertures. By using the point spread function of the system, as in the theory of partial coherence, we avoid complicated statistical processes that are commonly used in this theory. We show some numerical results that verify our proposal.

©(2006) Society of Photo-Optical Instrumentation Engineers (SPIE)

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José-Germán R Cortés-Reynoso, José Guadalupe Suárez-Romero, Juan Carlos Solorio-Leyva, Juan Bautista Hurtado-Ramos, and Eduardo Tepichín-Rodríguez "Numerical calculation of the Fresnel diffraction patterns for periodic objects in measurements with a two-aperture radiometer," Optical Engineering 45(3), 036402 (1 March 2006). https://doi.org/10.1117/1.2183647

Published: 1 March 2006

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KEYWORDS

Sensors

Near field diffraction

Diffraction

Point spread functions

Radiometry

Optical engineering

Radio optics

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