Validity of the Makinson-Landau argument for surface electromagnetic fields |
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| Institution: | 1. The Department of Archaeology and Ancient Near Eastern Cultures, Tel Aviv University, P.O.B. 39040, Tel Aviv 6997801, Israel;2. Department of Archaeology, The Hebrew University, Jerusalem, Israel;3. Israel Antiquities Authority, P.O.B. 586, Jerusalem 9100402, Israel;4. Geological Survey of Israel, 30 Malkhe Israel Street, Jerusalem 9550161, Israel;1. Strathclyde Institute of Pharmacy & Biomedical Sciences, University of Strathclyde, Hamnett building 161, Cathedral Street, Glasgow G4 0RE, UK;2. Dept Oral Biology, Leeds Dental Institute, University of Leeds, Leeds LS2 9LU |
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| Abstract: | In 1937 Makinson introduced the first model for a space dependent dielectric function; this model was local. From this very simple form, he concluded that electric fields are enhanced near the surface of a metal. This argument was then rediscovered again and again by many people, in particular Landau. We analyze the validity of this argument with the hydrodynamic approximation to a non local space varying di-electric function, and find that it is relevant for quite reasonable values of the ratio of Zo (which characterizes the spatial extent of the surface region) to kso-1 (the screening length of the dielectric function). |
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