CONSISTENT FORMALISM FOR THE MOMENTUM OF ELECTROMAGNETIC WAVES IN LOSSLESS DISPERSIVE METAMATERIALS AND THE CONSERVATION OF MOMENTUM
2011 (English)In: PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER, ISSN 1559-8985, Vol. 116, 81-106 p.Article in journal (Refereed) Published
A new formalism for electromagnetic and mechanical momentum in a metamaterial is developed by means of the technique of wave-packet integrals. The medium has huge mass density and can therefore be regarded as almost stationary upon incident electromagnetic waves. A clear identification of the momentum density and momentum flow, including their electromagnetic and mechanical parts, is obtained by employing this formalism in a lossless dispersive metamaterial (including the cases of impedance matching and mismatching with vacuum). It is found that the ratio of the electromagnetic momentum density to the mechanical momentum density depends on the impedance and group velocity of the electromagnetic wave inside the metamaterial. One of the definite results is that both the electromagnetic momentum and the mechanical momentum in the metamaterial are in the same direction as the energy flow, instead of in the direction of the wave vector. The conservation of total momentum is verified. In addition, the law of energy conservation in the process of normal incidence is also verified by using the wave-packet integral of both the electromagnetic energy density and the mechanical energy density, of which the latter is caused by the interaction between the induced electric/magnetic currents and the electric/magnetic field components of the electromagnetic wave.
Place, publisher, year, edition, pages
2011. Vol. 116, 81-106 p.
RADIATION PRESSURE, LINEAR MOMENTUM, DIELECTRIC MEDIA, NEGATIVE-REFRACTION, ENERGY-MOMENTUM, MAGNETIC MEDIA, ELECTRODYNAMICS, FORCES, LIGHT, FIELD
Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: urn:nbn:se:kth:diva-36220DOI: 10.2528/PIER11032006ISI: 000291929300005ScopusID: 2-s2.0-79958110440OAI: oai:DiVA.org:kth-36220DiVA: diva2:430717
QC 201107112011-07-122011-07-112013-11-19Bibliographically approved