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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2015-11-12
Definition for Polarization P and Magnetization m Fully Consistent with Maxwell's Equations
By
Carlo Andrea Gonano,

    Dr. Carlo Andrea Gonano

    Energy Department

    Politecnico di Milano

    Italy

    Homepage

Riccardo Enrico Zich,

    Dr. Riccardo Enrico Zich

    Politecn Milan

    Italy

    Homepage

Marco Mussetta

    Prof. Marco Mussetta

    Department of Energy

    Politecnico di Milano

    Italy

    Homepage

Progress In Electromagnetics Research B, Vol. 64, 83-101, 2015
doi:10.2528/PIERB15100606 | Google Scholar

Abstract
Dealing with the project of metamaterials scientists often have to design circuit elements at a subwavelength (or ``microscopic'') scale. At that scale, they use the set of Maxwell's equations in free-space, and neither permittivity ε nor permeability μ are formally defined. However, the objective is to use the unit cells in order to build a bulk material with some desired ``macroscopic'' properties. At that scale the set of Maxwell's equations in matter is adopted. To pass from one approach to the other is not obvious. In this paper we analyse the classic definitions of polarization P and magnetization M, highlighting their limits. Then we propose a definition for P and M fully consistent with Maxwell's equations at any scale.
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Citation
Carlo Andrea Gonano, Riccardo Enrico Zich, and Marco Mussetta, "Definition for Polarization P and Magnetization m Fully Consistent with Maxwell's Equations," Progress In Electromagnetics Research B, Vol. 64, 83-101, 2015.
doi:10.2528/PIERB15100606
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