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Model-independent derivation of macroscopic Maxwell equations from microscopic basis: Defect of "E, D, B, H" scheme
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cho, Kikuo |
| Copyright Year | 2006 |
| Abstract | The derivation of macroscopic Maxwell equations (M-eqs.) from microscopic basis is made in a general, model-independent way. Starting from a general Lagrangian of interacting matter-EM field as a most reliable basis, we first set up simultaneous equations for microscopic " EM field and induced current density " , where a single (microscopic) susceptibility tensor is enough to describe the whole response. Macroscopic averaging is done by applying long wavelength approximation to the microscopic response, which results in a new but familiar form of macroscopic " constitutive equation ". This procedure does not increase the number of field variables, neither the number of consitutive equation. This form of macroscopic M-eqs. is not equivalent to the usual {E, D, B, H} scheme, which requires two constitutive equations. Plane wave dispersion equation takes a different form, and an alteration is required to the definition (ǫ < 0, µ < 0) of left-handed materials. An experimental test is proposed to distinguish this and the traditional forms of macroscopic M-eqs. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/cond-mat/0611235v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |