Huygens principle for random metamaterial without coupling

In this paper, we present the Huygens principle of transmission spectra for random metamaterials without coupling. We theoretically demonstrate the connection between the Huygens principle and coupled mode theory for the first time, to the best of our knowledge. We theoretically illustrate that transmission spectra without metamaterial coupling can be calculated by the Huygens principle. Without loss of universality, we explain the Huygens principle for randomly selecting two different structures on a two-dimensional metamaterial array and compare the calculated results of the Huygens principle, CST Studio Suite (CST) simulations, and experimental results.