Transformation-based metamaterials to eliminate the staircasing error in the finite difference time domain method

ÖZGÜN Ö., KUZUOĞLU M.

INTERNATIONAL JOURNAL OF RF AND MICROWAVE COMPUTER-AIDED ENGINEERING, cilt.22, sa.4, ss.530-540, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1002/mmce.20642
  • Dergi Adı: INTERNATIONAL JOURNAL OF RF AND MICROWAVE COMPUTER-AIDED ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.530-540
  • Anahtar Kelimeler: finite difference time domain (FDTD), method, staircasing error, anisotropic metamaterials, coordinate transformation, transformation media, ELEMENT MESH TRUNCATION, MAXWELLS EQUATIONS, FDTD ALGORITHM, ABSORBERS
  • TED Üniversitesi Adresli: Evet

Özet

A coordinate transformation technique is introduced for the finite difference time domain method to alleviate the effects of errors introduced by the staircasing approximation of curved geometries that do not conform to a Cartesian grid. An anisotropic metamaterial region, which is adapted to the Cartesian grid and designed by the coordinate transformation technique, is constructed around the curved boundary of the object, and the region occupied between the curved boundary and the inner boundary of the anisotropic metamaterial layer is discarded. The technique is validated via several numerical simulations. (c) 2012 Wiley Periodicals, Inc. Int J RF and Microwave CAE 22:530540, 2012.