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The reciprocity theorem finds broad application in describing the scattering coefficients between ports in microwave networks. When Bloch harmonics are abstracted as "ports", harmonics in opposite directions will satisfy the reciprocity theorem. However, only after normalizing the energy flux along the interface relative to the electric field basis vectors of each harmonic, the scattering coefficients defined by electric field components can exhibit an equality relationship.Besides, deep sub-wavelength periodic structures are completely dominated by zero-order Bloch harmonics. For TE and TM waves in the same direction, an approximate equality of cross-polarized reflection coefficients has been theoretically verified, which tied to the average properties of the zero-order Bloch harmonic.

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Reciprocity Principle of Metasurface

  • 章节

  • 发表日期：

    2026年

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  • Xiaobo Liu,
  • Wei Li,
  • Xiaoming Chen

摘要

The reciprocity theorem finds broad application in describing the scattering coefficients between ports in microwave networks. When Bloch harmonics are abstracted as "ports", harmonics in opposite directions will satisfy the reciprocity theorem. However, only after normalizing the energy flux along the interface relative to the electric field basis vectors of each harmonic, the scattering coefficients defined by electric field components can exhibit an equality relationship.Besides, deep sub-wavelength periodic structures are completely dominated by zero-order Bloch harmonics. For TE and TM waves in the same direction, an approximate equality of cross-polarized reflection coefficients has been theoretically verified, which tied to the average properties of the zero-order Bloch harmonic.