Approximate Stable Diagonalization of the Green's Function for Low Frequencies

Ergul O., Karaosmanoglu B.

IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, cilt.13, ss.1054-1056, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1109/lawp.2014.2327092
  • Dergi Adı: IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1054-1056
  • Anahtar Kelimeler: Diagonalization, Green's function, multilevel fast multipole algorithm, low-frequency breakdown, FAST MULTIPOLE ALGORITHM, MLFMA
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We present an approximate diagonalization of the Green's function that is stable at arbitrarily short distances with respect to wavelength. The diagonalization is based on scaled spherical functions and plane waves, where a scaling factor is used to stabilize special functions with small arguments. Optimization of the scaling factor leads to accurate diagonalizations, which can be used to implement the multilevel fast multipole algorithm for low-frequency problems.