期刊
IEEE ANTENNAS AND PROPAGATION MAGAZINE
卷 52, 期 5, 页码 198-207出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/MAP.2010.5687538
关键词
Metamaterials; local and nonlocal homogenization; spatial dispersion; drift-diffusion equation; electromagnetic propagation in nonhomogeneous media; electromagnetic propagation in plasma media; electromagnetic analysis
Spatial dispersion has emerged as an extremely important concept in modeling metamaterials, including macro-, micro-, and nano-structured composites. However, the incorporation of spatial dispersion requires a considerable complication of the usual Ohm's law relationship with which students are familiar. In this note, the drift-diffusion equation is shown to be equivalent to the usual form of spatial dispersion in simple isotropic plasmas and metamaterials. It is suggested that the drift-diffusion equation is physically clear and intuitive, and, therefore, can be effectively used to help teach concepts of spatial dispersion to beginning graduate students. Furthermore, the drift-diffusion equation leads to a simple treatment of charge screening, which is important for fundamental understanding, and for the electromagnetics of nanostructures.
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