1. Bruning, J. H. and Y. T. Lo, "Multiple scattering of EM waves by spheres, Part I — Multipole expansion and ray-optical solutions," IEEE Trans. Antennas Propagat., Vol. 19, No. 3, 378-390, May 1971.
doi:10.1109/TAP.1971.1139944
2. Kokkorakis, G. C., J. G. Fikioris, and G. Fikioris, "EM field induced in inhomogeneous dielectric spheres by external sources," Progress In Electromagnetics Research Symposium, 275-278, Cambridge, USA, March 26-29 2006.
3. Hansen, J. E. (ed.) "Spherical Near-field Antenna Measurements," Peter Peregrinus Ltd., 1988.
4. Greengard, L. and V. Rokhlin, "A new version of the fast multipole method for the Laplace equation in three dimensions," Acta Numerica, 229-269, 1997.
5. Chew, W. C. , J. M. Jin, E. Michielssen, J. M. Song (eds.) Fast and Efficient Algorithms in Computational Electromagnetics, Artech House, 2001.
6. Gumerov, N. A. and R. Duraiswami, Fast Multipole Methods for the Helmholtz Equation in Three Dimensions, Elsevier, 2004.
7. Cheng, H., W. Y. Crutchfield, Z. Gimbutas, L. F. Greengard, J.F.Ethridge, J. Huang, V. Rokhlin, N. Yarvin, and J. Zhao, "A wideband fast multipole method for the Helmholtz equation in three dimensions," J. Comput. Phys., Vol. 216, 300-325, 2006.
doi:10.1016/j.jcp.2005.12.001
8. Friedman, B. and J. Russek, "Addition theorems for spherical waves," Quart. Appl. Math., Vol. 12, 13-23, 1954.
9. Danos, M. and L. Maximon, "Multipole matrix elements of the translation operator," J. Math. Phys., Vol. 6, No. 5, 766-778, May 1965.
doi:10.1063/1.1704333
10. Stein, S., "Addition theorems for spherical wave functions," Quart. Appl. Math., Vol. 19, No. 1, 15-24, 1961.
11. Cruzan, O. R., "Translational addition theorems for spherical vector wave functions," Quart. Appl. Math., Vol. 20, No. 1, 33-40, 1962.
12. Borghese, F., P. Denti, G. Toscano, and O. I. Sindoni, "An addition theorem for vector Helmholtz harmonics," J. Math. Phys., Vol. 21, No. 12, 2754-2755, December 1980.
doi:10.1063/1.527572
13. Felderhof, B. U. and R. B. Jones, "Addition theorems for spherical wave solutions of the vector Helmholtz equation," J. Math. Phys., Vol. 28, No. 4, 836-839, April 1987.
doi:10.1109/8.7220
14. Wittmann, R. C., "Spherical wave operators and the translation formulas," IEEE Trans. Antennas Propagat., Vol. 36, No. 8, 1078-1087, August 1988.
15. Chew, W. C., Waves and Fields in Inhomogeneuos Media, IEEE Press, 1995.
doi:10.1163/156939393X00787
16. Chew, W. C. and Y. M. Wang, "Efficient ways to compute the vector addition theorem," Journal of Electromagnetic Waves and Applications, Vol. 7, No. 5, 651-665, 1993.
doi:10.1109/8.542073
17. Kim, K. T., "The translation formula for vector multipole fields and the recurrence relations of the translation coefficients of scalar and vector multipole fields," IEEE Trans. Antennas Propagat., Vol. 44, No. 11, 1482-1487, November 1996.
doi:10.2528/PIER04040601
18. Kim, K. T., "Symmetry relations of the translation coefficients of the scalar and vector spherical multipole fields," Progress In Electromagnetics Research, Vol. 48, 45-66, 2004.
doi:10.1109/TAP.2007.910358
19. Kim, K. T., "Efficient recursive generation of the scalar spherical multipole translation matrix," IEEE Trans. Antenna Propagat., Vol. 55, No. 12, 3484-3494, 2007.
20. Chew, W. C., "Vector addition theorem and its diagonalization," Commun. Comput. Phys., Vol. 3, No. 2, 330-341, February 2008.
doi:10.1137/S0036142902405655
21. Sarvas, J., "Performing interpolation and anterpolation entirely by fast Fourier transform in the 3-D multilevel fast multipole algorithm," SIAM J. Numer. Anal., Vol. 41, No. 6, 2180-2196, 2003.
doi:10.2528/PIER05021001
22. Wallen, H. and J. Sarvas, "Translation procedures for broadband MLFMA," Progress In Electromagnetics Research, Vol. 55, 47-78, 2005.
23. Wang, P., Y. J. Xie, and R. Yang, "Novel pre-corrected multilevel fast multipole algorithm for electrical large radiation problem," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 13, 1733-1743, 2007.
doi:10.2529/PIERS060907051636
24. Wallen, H., "Improved interpolation of evanescent plane waves for Fast Multipole Methods," PIERS Online, Vol. 3, No. 6, 764-766, 2007.
25. Jackson, J. D., Classical Electrodynamics, 3rd Ed., Wiley, 1999.
26. Stratton, J. A., Electromagnetic Theory, McGraw-Hill, 1941.
27. Colton, D. and R. Kress, Inverse Acoustic and Elelctromagnetic Scattering Theory, Springler-Verlag, 1998.
doi:10.1063/1.1666629
28. Devaney, A. J. and E. Wolf, "Multipole expansions and plane wave representations of the electromagnetic field," J. Math. Phys., Vol. 15, No. 2, 234-244, February 1974.
29. Abramowitz, M. and I. A. Stegun (eds.), Handbook of Mathematical Functions, Dover Publications, 1970.
doi:10.1002/1098-2760(20000720)26:2<105::AID-MOP11>3.0.CO;2-W
30. Zhao, J.-S. and W. C. Chew, "Applying matrix rotation to the three-dimensional low-frequency multilevel fast multipole algorithm," Microwave Opt. Technol. Lett., Vol. 26, No. 2, July 2000.