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Effect of the fill factor of an annular diffraction grating on the energy distribution in the focal plane

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Abstract

We have considered the effect of the fill factor of an annular binary phase grating on the energy distribution in the focal plane. A theoretical analysis is carried out, using two approaches. One of them makes it possible to describe the overall structure of the distribution in the entire focal plane but is unsuitable for solving the inverse problem. The second approach makes it possible to explain the fine structure in the region of the intensity maxima corresponding to the diffraction orders. In particular, this approach explains the fact of a possible splitting of the focal ring into two and makes it possible to compute the intensity ratio of the two rings. The results of the theoretical calculations and numerical modeling are confirmed by experimental studies. As a result, we have shown the ability to dynamically change the focal structure by regulation of the grating’s fill factor.

© 2017 Optical Society of America

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