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 -