Experimental study of entropy for holographic optical elements

Luis Carretero-Lopez; Antonio Fimia; Augusto Belendez

doi:10.1117/12.206234

12 April 1995 Experimental study of entropy for holographic optical elements

Luis Carretero-Lopez, Antonio Fimia, Augusto Belendez

Proceedings Volume 2406, Practical Holography IX; (1995) https://doi.org/10.1117/12.206234
Event: IS&T/SPIE's Symposium on Electronic Imaging: Science and Technology, 1995, San Jose, CA, United States

Abstract

When aberrations are present the principal maximum of the axial irradiance does not lie at the Gaussian image point but at an axial point closer to it. In general there may be more than one diffraction focus and a criteria is needed for the election of the best image point in the sense of minimal aberrations, we have proposed an entropy function as merit function for study the best image plane. In this paper we present an experimental procedure for the measure of the entropy of an different imaging planes for holographic optical elements. The point spread function of the holographic lens is recorded with a CCD camera for different imaging planes, taking as origin the Gaussian image plane. The CCD camera is controlled with a computer, and axial displacements of 1 micrometers are possible. With a computer program, the Point Spread Functions obtained are normalized to the total intensity of the plane, and then we have a probability distribution associated to every imaging plane. Using the definition of entropy, we numerically calculate the value of this magnitude. We represent the entropy as a function of distance from the Gaussian image plane and compare the results with theoretical predictions. A good agreement between theory and experience is found, so the concept of entropy could be used for finding the best image plane in holographic optical elements.

Citation Download Citation

Luis Carretero-Lopez, Antonio Fimia, and Augusto Belendez "Experimental study of entropy for holographic optical elements", Proc. SPIE 2406, Practical Holography IX, (12 April 1995); https://doi.org/10.1117/12.206234

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