Title :
Paraxial equation for the surface wave on a conducting cylinder
Author :
Kotelnikov, Igor A. ; Stupakov, Gennady V.
Author_Institution :
Budker Inst. of Nucl. Phys., Novosibirsk, Russia
Abstract :
We derive a reduced wave equation for the surface waves on an air-metal interface with a given radius of curvature R. Using the Leontovich boundary condition with a small dimensionless surface impedance ξ we find solutions to this equation in terms of the Airy-Fock functions. A relation between the surface waves on a planar and cylindrical metal-air interfaces is elucidated and the dispersion relation of a planar surface wave is recovered as the limit of a sufficiently large curvature radius R.
Keywords :
dispersion (wave); shapes (structures); surface electromagnetic waves; surface impedance; wave equations; Leontovich boundary condition; air-metal interface; airy-fock functions; conducting cylinder; curvature radius; dispersion relation; paraxial equation; planar surface wave; surface impedance; wave equation; Equations; Metals; Optical surface waves; Plasmons; Surface impedance; Surface treatment; Surface waves;
Conference_Titel :
Infrared, Millimeter, and Terahertz waves (IRMMW-THz), 2014 39th International Conference on
Conference_Location :
Tucson, AZ
DOI :
10.1109/IRMMW-THz.2014.6956398
