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    This study introduces virtually rotating metasurfaces (VRM) for electromagnetic wave frequency conversion. These surfaces enable efficient up or down conversion and amplification of microwave signals without magnetic fields.

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    Area of Science:

    • Electromagnetics and Metamaterials
    • Applied Physics
    • Microwave Engineering

    Background:

    • Metasurfaces offer unique electromagnetic wave manipulation capabilities.
    • Time-varying metasurfaces are emerging for dynamic control of wave properties.
    • Achieving frequency conversion with metasurfaces typically requires complex designs.

    Purpose of the Study:

    • To analyze electromagnetic wave scattering from time-varying metasurfaces mimicking rotation.
    • To propose and analyze a metasurface-based frequency converter with amplification.
    • To develop and validate models for virtually rotating metasurfaces (VRM).

    Main Methods:

    • Theoretical analysis of circularly polarized wave scattering from a time-dependent metasurface.
    • Utilizing a rotating frame transformation for time-invariant analysis and phasor representation.
    • Validation through 1D-Finite-Difference Time-Domain (FDTD) simulations and a lumped element model.

    Main Results:

    • Scattered fields exhibit frequency conversion by twice the metasurface rotation frequency.
    • A proposed system achieves full conversion to a single up/down-converted tone, with amplification for up-conversion.
    • Lumped element and 3D models successfully demonstrate the VRM concept, validated by simulations.

    Conclusions:

    • Virtually rotating metasurfaces enable efficient, linear, and magnetless frequency conversion and amplification.
    • The proposed system offers a simple yet effective design for frequency conversion applications.
    • This work opens new avenues for dynamic control of electromagnetic waves.