DEVELOPMENT OF THE EFFECTIVE MEDIUM THEORY APPLICABILITY MAP


AKAY S., Yalçin R. A., ERTÜRK H.

11th International Symposium on Radiative Transfer, RAD 2025, Kusadasi, Türkiye, 15 - 20 Haziran 2025, ss.231-238, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1615/rad-25.300
  • Basıldığı Şehir: Kusadasi
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.231-238
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

Effective Medium Theories (EMTs) are often used for estimating optical properties of particulate systems by modeling them as if they were homogeneous based on average properties. These approaches should be handled cautiously due to their limited validity ranges. This study provides an applicability map based on electromagnetic theory that outlines the particle size parameter and concentration regions where Maxwell-Garnett and Bruggeman EMTs provide reliable results. Maxwell’s equation solution of a representative particle ensemble and the scattering characteristics of ensemble’s boundary is compared with an equivalent Mie solution of by using effective refractive index to find the valid regions where EMTs are applicable. Both EMTs are found to be valid for size parameters under 0.45. However, at higher volume fractions, this size parameter limit extends for Bruggeman theory and it becomes more reliable compared to the Maxwell-Garnett theory.