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For metasurface, when the period is much smaller than the operation wavelength, the zero-order Bloch harmonic dominates in metasurface. This phenomenon breaks the inherent Fresnel formulas at the medium interface and serves as the physical basis for realizing various electromagnetic properties of metasurfaces. This chapter provides a mathematical formulation of the zero-order boundary conditions and presents three theoretical analysis methods for these conditions: the equivalent circuit method, the variational method, and the method of moments. These results will lay a theoretical foundation of the guided wave field theory for metasurface.

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Zero-Order Boundary Condition of Electromagnetic Metasurface

  • 章节

  • 发表日期：

    2026年

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  • Xiaobo Liu,
  • Wei Li,
  • Xiaoming Chen

摘要

For metasurface, when the period is much smaller than the operation wavelength, the zero-order Bloch harmonic dominates in metasurface. This phenomenon breaks the inherent Fresnel formulas at the medium interface and serves as the physical basis for realizing various electromagnetic properties of metasurfaces. This chapter provides a mathematical formulation of the zero-order boundary conditions and presents three theoretical analysis methods for these conditions: the equivalent circuit method, the variational method, and the method of moments. These results will lay a theoretical foundation of the guided wave field theory for metasurface.