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Comparison of long‐wavelength T ‐matrix multiple‐scattering theory and size‐dependent Maxwell–Garnett formula
Author(s) -
Neo C. P.,
Varadan V. K.,
Varadan V. V.
Publication year - 1999
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/(sici)1098-2760(19991005)23:1<1::aid-mop1>3.0.co;2-m
Subject(s) - attenuation , scattering , wavelength , dielectric , matrix (chemical analysis) , maxwell's equations , microwave , scattering theory , optics , materials science , t matrix method , physics , condensed matter physics , computational physics , quantum mechanics , composite material
Wave attenuation in a dielectric‐in‐dielectric composite is calculated using the long‐wavelength T‐matrix multiple‐scattering theory and the size‐dependent Maxwell–Garnett formula. Results obtained are first compared, and then followed by their comparisons with the experimental results and other theoretical results. An interesting observation made is that the size‐dependent Maxwell–Garnett formula predicts monotonically increasing wave attenuation with increasing concentration of inclusions, whereas the computed results from the multiple‐scattering theory and other formulas, together with the experimental results, indicate maximum wave attenuation at a certain concentration of inclusions. It is shown that the size‐dependent Maxwell–Garnett formula gives good prediction of wave attenuation only up to inclusion concentration of about 2%, and the T‐matrix multiple‐scattering theory in the long‐wavelength approximation gives good prediction of wave attenuation even beyond the inclusion concentration of 2%. ©1999 John Wiley & Sons, Inc. Microwave Opt Technol Lett 23: 1–4, 1999.