Application of the differential method to uniaxial gratings with an infinite number of refraction channels: Scalar case

Ricardo A. Depine, Marina E. Inchaussandague, Akhlesh Lakhtakia

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

The differential method (also called the C method) is applied to the diffraction of linearly polarized plane waves at a periodically corrugated boundary between vacuum and a linear, homogeneous, uniaxial, dielectric-magnetic medium characterized by hyperbolic dispersion equations. Numerical results for sinusoidal gratings are presented and compared with those obtained by means of the Rayleigh method, showing that both the differential method and the Rayleigh method can fail to give adequate results for gratings supporting an infinite number of refracted Floquet harmonics.

Original languageEnglish (US)
Pages (from-to)90-96
Number of pages7
JournalOptics Communications
Volume258
Issue number2
DOIs
StatePublished - Feb 15 2006

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Physical and Theoretical Chemistry
  • Electrical and Electronic Engineering

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