Dispersion characteristics of magneto-inductive waves made up by doubly periodic elements

摘要

One-dimensional lines of metamaterial elements supporting magneto-inductive waves are investigated for the case when elements' properties vary in a doubly periodic manner. It is shown that the dispersion of the magneto-inductive waves in this case demonstrates (analogously to acoustic waves in solids) an "optical" and an "acoustic" branch. The properties of the dispersion relation are investigated with attention paid to the width of pass- and stop-bands and the possibility of tailoring the dispersion properties within this approach is discussed.