Perturbation-Asymptotic Series Approach for an Electromagnetic Wave Problem in an Epsilon Near Zero (ENZ) Material

Akkaya M. K., YILMAZ A. E., KUZUOĞLU M.

ADVANCED ELECTROMAGNETICS, cilt.11, sa.1, ss.30-40, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.7716/aem.v11i1.1668
  • Dergi Adı: ADVANCED ELECTROMAGNETICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.30-40
  • Anahtar Kelimeler: perturbation, asymptotic expansion, Epsilon Near Zero (ENZ), non dimensionalization, dominant balancing, space transformation, electromagnetic wave equation
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Electromagnetic waves present very interesting features while the permittivity of the environment approaches to zero. This property known as ENZ (Epsilon Near Zero) has been analysed with the perturbation approach-asymptotic analysis method. Wave equations have been solved by space transformation instead of phasor domain solution and the results compared. Wave equation is non-dimensionalised in order to allow asymptotic series extension. Singular perturbation theory applied to the Wave Equation and second order series extension of electromagnetic waves have been done. Validity range of the perturbation method has been investigated by modifying parameters.