Directionality fields generated by a local Hilbert transform in optics

K. Staliunas; W. Ahmed; M. Botey; R. Herrero; Z. Hayran; H. Kurt

doi:10.1117/12.2522675

30 April 2019 Directionality fields generated by a local Hilbert transform in optics

K. Staliunas, W. Ahmed, M. Botey, R. Herrero, Z. Hayran, H. Kurt

Proceedings Volume 11025, Metamaterials XII; 1102506 (2019) https://doi.org/10.1117/12.2522675
Event: SPIE Optics + Optoelectronics, 2019, Prague, Czech Republic

Abstract

We propose a new approach of optical field management based on a local Hilbert transform, where the non-Hermitian potentials generating arbitrary vector fields of directionality, p→(r→), with desired shapes and topologies are designed. We derive a local Hilbert transform to build systematically such potentials, by modifying background potentials (being either regular or random, extended or localized). In particular, we explore particular directionality fields, for instance in the form of a focus to create sinks for probe fields, to generate vortices in the probe fields, and others. Physically, the proposed directionality fields provide a flexible new mechanism for dynamically shaping and precise control over probe fields leading to novel effects in wave dynamics.

Conference Presentation

Citation Download Citation

K. Staliunas, W. Ahmed, M. Botey, R. Herrero, Z. Hayran, and H. Kurt "Directionality fields generated by a local Hilbert transform in optics", Proc. SPIE 11025, Metamaterials XII, 1102506 (30 April 2019); https://doi.org/10.1117/12.2522675

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