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Generalized metamaterials: Definitions and taxonomy.

Noori Kim1, Yong-Jin Yoon1, Jont B Allen2

  • 1Department of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, 639798 Singapore, Singapore.

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|July 3, 2016
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Summary
This summary is machine-generated.

This review traces the historical development of metamaterials (MMs), from early wave equations to modern physics. It emphasizes the need for a technical taxonomy and precise definition of MMs based on physical laws.

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Area of Science:

  • Physics
  • Materials Science

Background:

  • The historical trajectory of metamaterials (MMs) development is reviewed, originating from Newton's wave equation.
  • Key theoretical advancements include Helmholtz's quasi-statics and Kirchhoff's circuit laws, culminating in Maxwell's equations.

Purpose of the Study:

  • To provide a technical definition of metamaterials based on historical scientific evolution.
  • To highlight the necessity for a standardized technical taxonomy and classification system for MMs.

Main Methods:

  • Historical review of foundational physics principles relevant to wave propagation.
  • Analysis of the evolution of wave equations for sound and light.
  • Extension of six basic network postulates (causality, linearity, time response, passivity, time invariance, reciprocity) to metamaterials.

Main Results:

  • Metamaterials development is intrinsically linked to the understanding of wave phenomena and their governing equations.
  • The quasi-static approximation is a key concept derived from wave speed and wavelength.

Conclusions:

  • A robust technical taxonomy for metamaterials requires a comprehensive definition grounded in fundamental physics postulates.
  • Further research is needed to establish a clear classification system for metamaterials.