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Analysis of the formation of additional diffraction orders on the optical axis for binary fracxicons
A.V. Ustinov1, O.A. Dyukareva2, S.N. Khonina1,2

1 Image Processing Systems Institute, NRC "Kurchatov Institute", Molodogvardeiskaya Str. 151, Samara, 443001, Russia;
2 Samara National Research University, Moskovskoye Shosse 34, Samara, 443086, Russia

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DOI: 10.18287/COJ1783

Article ID: 1783

Language: Russian

Abstract:
Binary axisymmetric fracxicons, which are optical elements with different power-law dependence on the radius (which can also be called generalized lenses), are considered. The formation of additional axial diffraction orders associated with binarization and leading to complex interference distributions on the optical axis is studied analytically and numerically. It is shown that the power-law dependence leads to different lengths of the formed axial orders and, accordingly, to different nature of the interference interaction. In particular, with a quadratic dependence (lens), the diffraction orders are very compact, separated from each other and do not lead to interference. With a linear dependence (axicon), on the contrary, the diffraction orders are significantly extended along the optical axis, which leads to significant interference in the overlap regions. Variations of the power dependence allow the formation of distributions intermediate between these two extreme types of elements. Our findings expand the optical toolkit, including that which is required for 3D multiplexing of laser beams

Keywords:
axicon, generalized lens, fracxicon, binarization, axial diffraction orders.

Acknowledgements:
The work was funded under the government project of the National Research Center "Kurchatov Institute".

Citation:
Ustinov AV, Dyukareva OA, Khonina SN. Analysis of the formation of additional diffraction orders on the optical axis for binary fracxicons. Computer Optics 2026; 50(3): 1783. DOI: 10.18287/COJ1783.

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