Finite size abnormal reflection metasurface design and surface impedance optimization method based on integral equation

By combining integral equations with the method of moments, the surface impedance value is discretized, and the design method is optimized, solving the problems of complex design, high cost and low efficiency in the existing technology, and realizing the design of efficient large-angle anomalous reflective metasurfaces under finite size conditions.

CN122451964APending Publication Date: 2026-07-24XIDIAN UNIV
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Patent Information

Application Number
CN202610570070.3
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2026-04-28
Publication Date
2026-07-24

AI Technical Summary

Technical Problem

Existing metasurface designs for anomalous reflections suffer from high design difficulty, high cost, large computational load, and low computational efficiency. In particular, edge effects are significant under finite size conditions, making it difficult to achieve anomalous reflections at large angles.

Method used

A design method based on integral equations, the method of moments, and impenetrable impedance surfaces is adopted. The surface impedance is discretized into a finite number of values. By optimizing the surface impedance value, arbitrarily large-angle anomalous reflections can be achieved. The calculation is performed by combining integral equations and matrix equations, which simplifies the algorithm and improves the computational efficiency.

Benefits of technology

This technology enables the efficient and low-cost design of arbitrarily large-angle anomalous reflective metasurfaces under finite size conditions, reducing computational complexity and cost while improving design efficiency and accuracy.

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Abstract

The invention discloses a finite size abnormal reflection metasurface design and surface impedance optimization method based on an integral equation. The method comprises the steps of 1, determining the size of an abnormal reflection surface unit of actual engineering; 2, the number of units of the metasurface in the limited size direction is obtained through the limited size / metasurface unit size, and a metasurface array is formed; 3, equally dividing each independent metasurface unit into impedance sheets with the same length in the finite size direction; step 4, equally dividing each small impedance sheet into subunits with the same length along the finite size direction; 5, electromagnetic waves are simulated through codes to enter the metasurface array in a plane wave form at 0 degree, surface current is generated, and the surface current can excite a scattered field; and enabling the scattered field to reach an ideal state in a target direction. The impedance surface provided by the invention can be designed according to the requirement of any large-angle abnormal reflection angle and any target size, and the practicability of the impedance surface in a future application scene is greatly improved.
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