Identification of Plasmonic Modes in Parabolic Cylinder Geometry by Quasi-Separation of Variables

Abstract

This paper describes the plasmonic modes in the parabolic cylinder geometry as a theoretical complement to the previous paper (J Phys A 42:185401) that considered the modes in the circular paraboloidal geometry. In order to identify the plasmonic modes in the parabolic cylinder geometry, analytic solutions for surface plasmon polaritons are examined by solving the wave equation for the magnetic field in parabolic cylindrical coordinates using quasi-separation of variables in combination with perturbation methods. The examination of the zeroth-order perturbation equations showed that solutions cannot exist for the parabolic metal wedge but can be obtained for the parabolic metal groove as standing wave solutions indicated by the even and odd symmetries.

Plasmon spectrum and plasmon-mediated energy transfer in a multiconnected geometry

“…A straightforward generalization of Eq. (25) gives To analyze the plasmon dispersion, we introduce the average opening angle and the "thickness" of the tip,…”

“…The key approach to a plasmon field focusing utilizes tapering, i.e. gradual narrowing of a waveguide towards one end [15][16][17][18][19][20][21][22][23][24][25][26] . Field confinement at the end of a tapered metal wire waveguide was demonstrated experimentally 4,[27][28][29] .…”