Comparison of long-wavelength T-matrix multiple-scattering theory and size-dependent Maxwell–Garnett formula

✍ Scribed by C. P. Neo; V. K. Varadan; V. V. Varadan

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 111 KB
• Volume: 23
• Category: Article
• ISSN: 0895-2477
• DOI: 10.1002/(sici)1098-2760(19991005)23:1<1::aid-mop1>3.0.co;2-m

✦ Synopsis

Wa¨e attenuation in a dielectric-in-dielectric composite is calculated using the long-wa¨elength 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 obser¨ation made is that the size-dependent Maxwell᎐Garnett formula predicts monotonically increasing wa¨e 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 wa¨e attenuation at a certain concentration of inclusions. It is shown that the size-dependent Maxwell᎐Garnett formula gi¨es good prediction of wa¨e attenuation only up to inclusion concentration of about 2%, and the T-matrix multiple-scattering theory in the long-wa¨elength approximation gi¨es good prediction of wa¨e attenuation e¨en beyond the inclusion concentration of 2%.