An N2 algorithm for the multiple scattering solution of N scatterers

作者: W. C. Chew

DOI: 10.1002/MOP.4650021105

关键词:

摘要: The scattering solution from N scatterers, each of whose scattered field is approximated by M harmonics an NM unknown problem. A straightforward to this problem can be obtained casting it into linear algebraic equation. the equation will involve order N3M3 flouting point operations. However, via use a recursive algorithm and translation formula, N2M3 solve such possible.

参考文章(16)
W. Lamb, D. M. Wood, N. W. Ashcroft, Long-wavelength electromagnetic propagation in heterogeneous media Physical Review B. ,vol. 21, pp. 2248- 2266 ,(1980) , 10.1103/PHYSREVB.21.2248
Vijay K. Varadan, Scattering of elastic waves by randomly distributed and oriented scatterers Journal of the Acoustical Society of America. ,vol. 65, pp. 655- 657 ,(1979) , 10.1121/1.382419
J. G. Fikioris, P. C. Waterman, Multiple Scattering of Waves. II. ``Hole Corrections'' in the Scalar Case Journal of Mathematical Physics. ,vol. 5, pp. 1413- 1420 ,(1964) , 10.1063/1.1704077
L. Huisman, D. Nicholson, L. Schwartz, A. Bansil, Effective-medium theory of electronic states in structurally disordered metals: Application to liquid Cu Physical Review B. ,vol. 24, pp. 1824- 1834 ,(1981) , 10.1103/PHYSREVB.24.1824
Victor Twersky, On Scattering of Waves by Random Distributions. I. Free‐Space Scatterer Formalism Journal of Mathematical Physics. ,vol. 3, pp. 700- 715 ,(1962) , 10.1063/1.1724272
W.C. Chew, L. Gurel, Reflection and transmission operators for strips or disks embedded in homogenous and layered media IEEE Transactions on Microwave Theory and Techniques. ,vol. 36, pp. 1488- 1497 ,(1988) , 10.1109/22.8912
L. C. Maximon, M. Danos, Multipole Matrix Elements of the Translation Operator Journal of Mathematical Physics. ,vol. 6, pp. 766- 778 ,(1965) , 10.1063/1.1704333
Melvin Lax, MULTIPLE SCATTERING OF WAVES. II. THE EFFECTIVE FIELD IN DENSE SYSTEMS Physical Review. ,vol. 85, pp. 621- 629 ,(1952) , 10.1103/PHYSREV.85.621