Resumen de Euler–Lagrange method for low-frequency metamaterials

Zhi Gong, Shiyou Yang, Chongxi Guan

• Purpose – The purpose of this paper is to develop a modeling method for the analysis of low-frequency metamaterials (MTMs) and their near-field applications.

  Design/methodology/approach – The Euler–Lagrange method is introduced. An MTM is modeled as a multi-degree-of-freedom system without homogenization. The properties and the responses of the MTM in a nearfield device are readily and rigorously studied through the motion equation derived from the Lagrange equations.

  The resonance frequencies and the corresponding resonance modes are solved from the characteristic equation.

  Findings – The numerical results of the proposed method show good agreement with the experimental ones. A measurement of MTM-core coil resistance and inductance shows high accuracy of the proposed method.

  Originality/value – The proposed Euler–Lagrange method provides a new study perspective and enables more flexible, rigorous and straightforward analysis of low-frequency MTMs in near-field applications.

  Consequently, the presented work greatly facilitates further explorations and studies on various novel MTMbased low-frequency near-field devices and systems.