Fig. 2: Design of effective self-dual MMs using dielectric multilayers.

a Illustration of a dielectric MM consisting of ABA multilayers. b Transmittance through \(N\) numbers of ABA units in air as a function of the incident angle \({\theta }_{i}\) for TE (blue) and TM (red) polarizations. c Wave impedances of free space (lines) and MM (dots) for TE and TM polarizations. d Band structures of the MM for TE (blue) and TM (red) modes. The black dashed line denotes the functioning frequency \({fa}/c=0.277\). e EFSs of TE (blue) and TM (red) modes at \({fa}/c=0.277\). f Angle of refraction \({\theta }_{r}\) at the interface between free space and MM as a function of the incident angle \({\theta }_{i}\) for TE (blue) and TM (red) polarizations