Title :
Landau-Lifshitz theory of single susceptibility Maxwell equations
Author_Institution :
Osaka Univ., Suita, Japan
Abstract :
The conflicting arguments given in the discussion forum of Metamaterials 2011 on the possible forms of macroscopic Maxwell equations are lead to a convergence by noting the relationship among the employed material variables for each scheme. The three schemes by Chipouline et al. using (A) standard P and M (Casimir form), (B) generalized electric polarization PLL (Landau-Lifshitz form), (C) generalized magnetic polarization MA (Anapole form) are compared with (D) the present author´s scheme using standard current density J. From the reversible relations among the transverse components of these vectors, one can easily rewrite one scheme into another. The scheme (D), the only one among the four providing the first-principles expressions of susceptibility and also leading to a non-phenomenological Casimir form in terms of the four generalized susceptibilities between {P, M} and {E, B}, is concluded to be a more natural form than (B) and (C) as a single susceptibility theory.
Keywords :
Maxwell equations; ab initio calculations; current density; electromagnetic metamaterials; electromagnetic wave polarisation; magnetic susceptibility; Landau-Lifshitz theory; first-principles expressions; generalized electric polarization; generalized magnetic polarization; generalized susceptibility; macroscopic Maxwell equations; metamaterials; nonphenomenological Casimir form; single susceptibility Maxwell equations; single susceptibility theory; standard current density; transverse components; Electromagnetics; Magnetic materials; Maxwell equations; Metamaterials; Optics;
Conference_Titel :
Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS), 2013 7th International Congress on
Conference_Location :
Talence
Print_ISBN :
978-1-4799-1229-2
DOI :
10.1109/MetaMaterials.2013.6809094