On the polarizability potential for two spheres

International Journal of Engineering Science

Volumn 44, Issue 20, 2006, Pages 1520-1533

  Dassios, G ^a   Hadjinicolaou, M ^b   Kamvyssas, G ^c   Kandili, A N ^d  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b HELLENIC OPEN UNIVERSITY   (Greece)

^c TECHNOLOGICAL EDUCATIONAL INSTITUTE OF PATRAS   (Greece)

^d UNIVERSITY OF PATRAS   (Greece)

Author keywords

Bispherical coordinates; Polarizability; Solution of Laplace's equation; Vector potential

Indexed keywords

LAPLACE TRANSFORMS; LINEAR SYSTEMS; POLARIZATION;

BISPHERICAL COORDINATES; POLARIZABILITY; SOLUTION OF LAPLACE'S EQUATION; VECTOR POTENTIAL;

TENSORS;

EID: 33751312710     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2006.07.011     Document Type: Article

References (12)

1. Schiffer M., and Szegö G. Virtual mass and polarization. Transactions of the American Mathematical Society 67 (1949) 130-205
2. Pólya G., and Szegö G. Isoperimetric Inequalities in Mathematical Physics (1951), Princeton University Press, Princeton
3. Keller J.B., Kleinman R.E., and Senior T.B.A. Dipole moments in Rayleigh scattering. Journal of the Institute of Mathematics and its Applications 9 (1972) 14-22
4. Kleinman R.E., and Senior T.B.A. Rayleigh scattering. In: Varadan V.K., and Varadan V.V. (Eds). Low and High Frequency Asymptotics (1986), North-Holland, Amsterdam 1-70
5. Dassios G., and Kleinman R. Low Frequency Scattering (2000), Oxford University Press
6. Ammari H., and Kang H. Reconstruction of small inhomogeneities from boundary measurements. Lecture Notes in Mathematics (2004), Springer, Berlin
7. Jeffery G.B. On a form of the solution of Laplace's equation suitable for problems relating to two spheres. Proceedings of the Royal Society of London, Series A 87 593 (1912) 109-120
8. Stoy R.D. Solution procedure for the Laplace equation in bispherical coordinates for two spheres in a uniform external field: parallel orientation. Journal of Applied Physics 65 7 (1989) 2611-2615
9. Stoy R.D. Solution procedure for the Laplace equation in bispherical coordinates for two spheres in a uniform external field: perpendicular orientation. Journal of Applied Physics 66 10 (1989) 5093-5095
10. Chaumet P.C., and Dufour J.P. Electric potential and field between two different spheres. Journal of Electrostatics 43 (1998) 145-159
11. Moon P., and Spencer D.E. Field Theory for Engineers (1961), D. Van Nostrand Company, Inc
12. Charalambopoulos A., Dassios G., and Hadjinicolaou M. An analytic solution for low-frequency scattering by two soft spheres. SIAM, Journal of Applied Mathematics 58 (1998) 370-386