TY - JOUR

T1 - Energy density of a dissipative polarizable solid by a lagrangean formalism

AU - Englman, R.

AU - Yahalom, A.

N1 - Funding Information:
A.Y. would like to thank the Israel Science Foundation for supporting this research under Grant 134/01-1.

PY - 2003/8/11

Y1 - 2003/8/11

N2 - A Lagrangean for the dynamics of an electromagnetic field in a dispersive and dissipative material is constructed (adapting some ideas by Bekenstein and Hannay) and an expression for the energy density that is positive is obtained from it. The expression contains extra (sink) degrees of freedom that represent dissipating modes. In simplified cases the sink modes can be eliminated to yield an energy density expression in terms of the electromagnetic fields, the polarization and the magnetization only, but which contains parameters associated with the sink modes. The method of adding extra modes can be used to set up a Lagrangean formalism for dissipative systems in general, such that will reinstate time-translation invariance and will yield a unique energy density.

AB - A Lagrangean for the dynamics of an electromagnetic field in a dispersive and dissipative material is constructed (adapting some ideas by Bekenstein and Hannay) and an expression for the energy density that is positive is obtained from it. The expression contains extra (sink) degrees of freedom that represent dissipating modes. In simplified cases the sink modes can be eliminated to yield an energy density expression in terms of the electromagnetic fields, the polarization and the magnetization only, but which contains parameters associated with the sink modes. The method of adding extra modes can be used to set up a Lagrangean formalism for dissipative systems in general, such that will reinstate time-translation invariance and will yield a unique energy density.

KW - Dissipation

KW - Electromagnetic energy

KW - Lagrangean formalism

KW - Polarizable solid

KW - Variational techniques

UR - http://www.scopus.com/inward/record.url?scp=0043164854&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(03)00953-8

DO - 10.1016/S0375-9601(03)00953-8

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AN - SCOPUS:0043164854

SN - 0375-9601

VL - 314

SP - 367

EP - 373

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -