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Sommerfeld integrals for left‐handed materials
Author(s) -
Chew W. C.
Publication year - 2004
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.20307
Subject(s) - physics , slab , microwave , point (geometry) , field (mathematics) , equivalence (formal languages) , optics , theoretical physics , computational physics , quantum mechanics , mathematics , geometry , pure mathematics , geophysics
Abstract We study the properties of left‐handed materials (LHMs) with the precise help of Sommerfeld integrals. First we argue by energy conservation principles that LHM has to be a backward‐wave material (BWM). Then we derive the equivalence of the loss and the Sommerfeld far‐field radiation conditions for a BWM. Next, we solve the realistic Sommerfeld problem of a point source over an LHM half‐space and an LHM slab. This analysis lends physical insight into the interaction of a point source field with an LHM, showing that super‐resolution is possible with an LHM slab. © 2004 Wiley Periodicals, Inc. Microwave Opt Technol Lett 42: 369–373, 2004; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20307