On the Wiener-Hopf Method for Surface Plasmons: Diffraction from Semiinfinite Metamaterial Sheet Academic Article uri icon

abstract

  • 2017 Wiley Periodicals, Inc., A Wiley Company By formally invoking the WienerHopf method, we explicitly solve a one-dimensional, singular integral equation for the excitation of a slowly decaying electromagnetic wave, called surface plasmon-polariton (SPP), of small wavelength on a semiinfinite, flat conducting sheet irradiated by a plane wave in two spatial dimensions. This setting is germane to wave diffraction by edges of large sheets of single-layer graphene. Our analytical approach includes (i) formulation of a functional equation in the Fourier domain; (ii) evaluation of a split function, which is expressed by a contour integral and is a key ingredient of the WienerHopf factorization; and (iii) extraction of the SPP as a simple-pole residue of a Fourier integral. Our analytical solution is in good agreement with a finite-element numerical computation.

published proceedings

  • STUDIES IN APPLIED MATHEMATICS

author list (cited authors)

  • Margetis, D., Maier, M., & Luskin, M.

citation count

  • 6

complete list of authors

  • Margetis, Dionisios||Maier, Matthias||Luskin, Mitchell

publication date

  • November 2017

publisher