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Optical computation of the divergence operator upon reflection of a vector beam from a layered metal-dielectric structure
A.I. Kashapov 1,2, L.L. Doskolovich 1,2, E.A. Bezus 1,2, D.A. Bykov 1,2

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

 PDF, 1076 kB

DOI: 10.18287/2412-6179-CO-1658

Pages: 885-892.

Full text of article: Russian language.

Abstract:
The optical computation of the divergence operator for a two-dimensional vector field representing the transverse components of the electric field of an incident light beam using a layered structure is theoretically described. A four-layer metal-dielectric structure on a metal substrate is proposed as an example of a layered structure computing this operator in reflection. The presented results of numerical simulation of the designed layered structure show the computation of the divergence operator with high quality and demonstrate the possibility of using the structure to analyze polarization singularities of vector beams.

Keywords:
analog optical computing, layered structure, transfer function, resonance, optical analog of spin Hall effect.

Citation:
Kashapov AI, Doskolovich LL, Bezus EA, Bykov DA. Optical computation of the divergence operator upon reflection of a vecto r beam from a layered metal-dielectric structure. Computer Optics 2025; 49(6): 885-892. DOI: 10.18287/2412-6179-CO-1658.

Acknowledgements:
This work was supported by the Russian Science Foundation (Project No. 24-12-00028) in part of design and numerical simulation of a layered structure implementing all-optical computation of the divergence operator; by the state assignment of NRC “Kurchatov Institute” in part of developing software for numerical simulation of optical beam diffraction by a layered structure; and by the state assignment to Samara University (FSSS-2024-0016) in part of review of structures performing optical differentiation in the Introduction.

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