Linear-frequency conversion with time-varying metasurfaces

C. Amra; A. Passian; P. TchamitchianTchamitchian; M. Ettorre; J. A. Zapien; A. Alwakil; P. Rouquette; Y. Abautret; M. Zerrad

doi:10.1117/12.3023046

11 June 2024 Linear-frequency conversion with time-varying metasurfaces

C. Amra, A. Passian, P. TchamitchianTchamitchian, M. Ettorre, J. A. Zapien, A. Alwakil, P. Rouquette, Y. Abautret, M. Zerrad

Author Affiliations +

Proceedings Volume PC12990, Metamaterials XIV; PC129900D (2024) https://doi.org/10.1117/12.3023046
Event: SPIE Photonics Europe, 2024, Strasbourg, France

Abstract

We present a versatile mechanism utilizing time-varying metasurfaces for achieving linear frequency conversion, historically governed by nonlinear interactions. Our approach, rooted in invoking linear equations, demonstrates the feasibility of single-frequency conversion through a metasurface, likened to parametric processes found in time-varying systems. Leveraging a generalized time-inhomogeneous convolution product, we introduce an effective nonlinearity furnished by external memory effects, which presents a path that provably adheres to the principles of causality and energy conservation. We explicit the double time-variable electric and magnetic susceptibilities which allow frequency conversion from one frequency to another. The approach can be extended to accommodate multi-frequency conversion by reflection or transmission, as well as full coherence for each monochromatic input. As we anticipate exploring numerical solutions and extension into the quantum regime, we believe this introductory result prepares the ground for future work.

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C. Amra, A. Passian, P. TchamitchianTchamitchian, M. Ettorre, J. A. Zapien, A. Alwakil, P. Rouquette, Y. Abautret, and M. Zerrad "Linear-frequency conversion with time-varying metasurfaces", Proc. SPIE PC12990, Metamaterials XIV, PC129900D (11 June 2024); https://doi.org/10.1117/12.3023046

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KEYWORDS

Frequency conversion

Quantum conversion

Quantum processes

Quantum communications

Quantum fields

Quantum frequencies

Quantum light

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