УДК: 535.42

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

Ustinov, A.V., Porfiriev, A.P., Khonina, S.N.

Publication in Journal of Optical Technology

For Russian citation (Opticheskii Zhurnal):

Устинов А.В., Порфирьев А.П., Хонина С.Н. Влияние соотношения ширины полос дифракционной кольцевой решетки на распределение энергии в фокальной плоскости // Оптический журнал. 2017. Т. 84. № 9. С. 3–12.

Ustinov A.V., Porfiriev A.P., Khonina S.N. Effect of the fill factor of an annular diffraction grating on the energy distribution in the focal plane [in Russian] // Opticheskii Zhurnal. 2017. V. 84. № 9. P. 3–12.

For citation (Journal of Optical Technology):

A. V. Ustinov, A. P. Porfir’ev, and S. N. Khonina, "Effect of the fill factor of an annular diffraction grating on the energy distribution in the focal plane," Journal of Optical Technology. 84(9), 580-587 (2017). https://doi.org/10.1364/JOT.84.000580

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.

Keywords:

circular diffraction gratings, fill factor of grating, splitting of focal rings, diffraction orders

Acknowledgements:

The research was supported by the Ministry of Education and Science of the Russian Federation (Minobrnauka), President of the Russian Federation (MK-2390.2017.2); Russian Foundation for Basic Research (RFBR) (16-07-00825, 16-29-11698, 16-29-11744, 17-42-630008).

OCIS codes: 050.1950, 050.1960

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