English

Design of Beamforming, Transparent Metasurfaces Using Integral Equations

Applied Physics 2023-10-11 v1 Optics

Abstract

An accurate method for designing transmissive metasurfaces is presented that provides perfect transmission while transforming the amplitude and phase of the wavefront. The designed metasurfaces consist of three spatially-varying, electric impedance sheets separated by two dielectric substrates. The design method uses integral equations to account for interactions within and between the impedance sheets, allowing for accurate design. In this paper, a comparison between the integral equation method and the local periodicity approximation is presented. The comparison includes one design example for a transmitted field of uniform phase and amplitude. The design using integral equations provides better collimation. Two other examples involving an amplitude tapered transmitted field are reported to show the versatility of the proposed design technique. In all the examples, the metasurface is 7.35λ07.35\lambda_0 wide, the focal length is 4λ04\lambda_0, and has an overall thickness of 0.1355λ00.1355 \lambda_0 at the operating frequency of 5GHz. The designs are verified using a commercial finite element electromagnetic solver.

Keywords

Cite

@article{arxiv.2310.05965,
  title  = {Design of Beamforming, Transparent Metasurfaces Using Integral Equations},
  author = {Malik Almunif and Jordan Budhu and Anthony Grbic},
  journal= {arXiv preprint arXiv:2310.05965},
  year   = {2023}
}