Spatial differentiation and integration of optical beams in a slab waveguide by a single dielectric ridge

Abstract

We show that a very simple structure consisting of a single subwavelength dielectric ridge on the surface of a slab waveguide enables spatial differentiation and integration of the profile of optical beams propagating in the waveguide. The differentiation and integration operations are performed in transmission and in reflection, respectively, at oblique incidence of the beam impinging on the ridge. The implementation of these operations is associated with the resonant excitation of a cross-polarized eigenmode of the ridge. At the considered parameters of the structure and incidence geometry, neither "parasitic" out-of-plane scattering nor polarization conversion occurs. The presented rigorous numerical simulation results confirm high-quality differentiation and integration. We demonstrate that by choosing the quality factor of the resonance, one can achieve the required tradeoff between the differentiation (or integration) quality and the amplitude of the resulting beam. The proposed integrated structure may find application in ultrafast all-optical analog computing and signal processing systems.

arXiv comment6 pages, 4 figures

References in corpus (8)

• Analog Optical Computing Based on Dielectric Meta-reflect-array
• Analog computing by Brewster effect
• Solving dielectric and plasmonic waveguide dispersion relations with a pocket calculator
• Optical properties of photonic crystal slabs with asymmetrical unit cell
• First-order optical spatial differentiator based on a guided-mode resonant grating
• Performing Mathematical Operations using High-Index Acoustic Metamaterials
• Spatial Integration by a Dielectric Slab Waveguide and its Planar Graphene-based Counterpart
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Cited by in corpus (5)

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• Meta-optics for spatial optical analog computing
• Enhancing Goos-Hänchen shift based on magnetic dipole quasi-bound states in the continuum in all-dielectric metasurfaces
• Neural network design of multilayer metamaterial for temporal differentiation