Abstract
We study properties of a p-polarized surface plasmon polariton propagating circumferentially around a portion of a cylindrical interface between a vacuum and a metal, a situation investigated earlier by Berry (J. Phys. A: Math. Gen. 8 (1975) 1952). When the metal is convex toward the vacuum this mode is radiative and consequently is attenuated as it propagates on the cylindrical surface. An approximate analytic solution of the dispersion relation for this wave is obtained by an approach different from the one used by Berry, and plots of the real and imaginary parts of its wave number are presented. When the metal is concave to the vacuum, the resulting dispersion relation possesses a multiplicity of solutions that have the nature of waveguide modes that owe their existence to the curvature of the interface.
Highlights
The propagation of a p-polarized surface electromagnetic wave circumferentially around a portion of a cylindrical boundary between a vacuum and a metal was studied by Berry [1]
For the case where the metal is convex to the vacuum, we present an approximate analytic solution of the corresponding dispersion relation by a method suggested by Berry
In the case when the metal is concave to the vacuum, we show that the corresponding dispersion relation has a multiplicity of solutions that have the nature of guided waves confined to the vicinity of the interface by its curvature
Summary
The propagation of a p-polarized surface electromagnetic wave circumferentially around a portion of a cylindrical boundary between a vacuum and a metal was studied by Berry [1]. When the metal is concave toward the vacuum, no attenuation of the wave occurs, and the wave is a true surface wave bound to the interface. For the case where the metal is convex to the vacuum, we present an approximate analytic solution of the corresponding dispersion relation by a method suggested by Berry. This method of solution may be of some interest in itself. In the case when the metal is concave to the vacuum, we show that the corresponding dispersion relation has a multiplicity of solutions that have the nature of guided waves confined to the vicinity of the interface by its curvature. Plots of the dispersion curves and magnetic field profiles of these waves are presented
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