| Summary: | 碩士 === 長庚大學 === 機械工程研究所 === 96 === The dispersion relations of surface plasmon wave (SPW)
propagating along the interface of a metallic circular cylinder or tube with
a dielectric are studied. Using the Maxwell’s equations, the characteristic
equation of SPW’s wavenumber along the cylindrical circumference,
which is a function of frequency, is derived in terms of the permittivities
of the metal and the dielectric medium, as well as the radius of curvature.
In this characteristic equation, the wavenumber, which is related to the
complex order of Bessel and Hankel functions, is solved numerically to
obtain the dispersion relation. Two models, the convex and concave
models, are discussed respectively for the cylindrical configuration. For
the metal tube configuration, the characteristic equation is also derived.
Two SPW modes are discovered numerically, the outer model and the
inner mode. We found that the outer mode corresponds to the convex
model of cylinder, and the inner mode corresponds to the concave one.
Moreover, a metal layer configuration is also studied, where the
symmetric and anti-symmetric modes are observed. Comparing the
dispersion relations of these configurations, we found that the outer model
of the tube configuration is relative to the symmetric mode of the layer
configuration, and the inner model is relative to the anti-symmetric
model.
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