The outgoing time-harmonic electromagnetic wave in a half-space with non-absorbing impedance boundary condition

Sergio Rojas, IGNACIO PATRICIO PEDRO MUGA URQUIZA, Carlos Jerez-Hanckes

Research output: Contribution to journalArticlepeer-review

Abstract

We show existence and uniqueness of the outgoing solution for the Maxwell problem with an impedance boundary condition of Leontovitch type in a half-space. Due to the presence of surface waves guided by an infinite surface, the established radiation condition differs from the classical one when approaching the boundary of the half-space. This specific radiation pattern is derived from an accurate asymptotic analysis of the Green's dyad associated to this problem.

Original languageEnglish
Pages (from-to)325-350
Number of pages26
JournalESAIM: Mathematical Modelling and Numerical Analysis
Volume53
Issue number1
DOIs
StatePublished - 1 Jan 2019

Keywords

  • Half-space
  • Maxwell equations
  • Radiation condition
  • Surface waves

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