In this study, we demonstrate simplified equivalent circuit models to effectively approximate responses of recently reported waveform-selective metasurfaces that distinguish different electromagnetic waves even at the same frequency depending on their waveforms or pulse widths. Compared to conventional equivalent circuit models that represent behaviors of ordinary metasurfaces in the "frequency" domain, the proposed models enable us to explain how waveform-selective metasurfaces respond in the "time" domain. Our approach well estimates not only time constants of waveform-selective metasurfaces but also their entire time-domain responses. Particularly, this study reports the importance of resistive components of diodes as well as a limitation of our models with respect to power dependence, although still the models effectively work when waveformselective mechanisms are clearly exhibited with a sufficiently large input power. Thus, the idea of the proposed equivalent circuit models contributes not only to more understanding waveform-selective mechanisms but also to facilitating the design process of such unique structures.
THE MANUSCRIPTIn electromagnetics, artificially engineered periodic structures 1-5 are well known to have an advantage over conventional materials available in nature, since their electromagnetic responses are readily tailored by adjusting their subwavelength geometry to produce various electromagnetic characteristics including negative/zero refractive index 6,7 and extremely large surface impedance 3 . Particularly, a planar type of structures, or the so-called metasurfaces, has a simpler form than 3D periodic structures and is therefore used for a wide range of applications such as wavefront shaping 8-10 , spatial filtering screens 11-13 , RF (radio-frequency) or optical absorbers [14][15][16] , and digital coding 17 . Moreover, these unique properties and performances are further extended by introducing a nonlinearity to a metasurface [18][19][20][21][22] . Although ordinary metasurfaces have strong frequency dependence and are thus designed to operate at the frequency of interest, circuit-based metasurfaces containing schottky diodes were recently demonstrated to be capable of distinguishing different waves in response not only to the incoming frequency components but also to the waveforms or pulse widths (FIG. 1(a)) [23][24][25][26][27] . Hence, these waveform-selective metasurfaces were expected to give us an additional degree of freedom to control electromagnetic waves even at the same frequency. For instance, the use of these materials enabled us to effectively absorb an arbitrary waveform and lower its bit error rate compared to other