Electrostatic image theory for the dielectric prolate spheroid

Journal of Electromagnetic Waves and Applications

Volumn 15, Issue 8, 2001, Pages 1075-1096

  Lindell, Ismo V ^a   Nikoskinen, Keijo I ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROSTATICS; IMAGE ANALYSIS; INTEGRAL EQUATIONS; PERMITTIVITY; POLYNOMIALS;

DIELECTRIC PROLATE SPHEROID; ELECTROSTATIC IMAGE THEORY; NEUMANN INTEGRAL IDENTITY;

DIELECTRIC MATERIALS;

EID: 0034830774     PISSN: 09205071     EISSN: 15693937     Source Type: Journal    
DOI: 10.1163/156939301X00436     Document Type: Article

References (21)

1. Thomson Kelvin, W., "Extracts of two letters to mr. Liouville" (in French), Journal de Mathématiques Pures et Appliqués, Vol. 10, 364, 1845 and Vol. 12, 256, 1847. Also in Papers on Electrostatics and Magnetism, Macmillan, London, 1882.
2. Maxwell, J. C., A Tretise on Electricity and Magnetism, 244-283, Dover, New York, 1954. A reprint of the third edition published by Clarendon Press in 1891.
3. Jeans, J., The Mathematical Theory of Electricity and Magnetism, 5th ed., 185-299, Cambridge University Press, 1933.
4. Neumann, C., Hydrodynamiche Untersuchungen, Teubner, Leipzig, 271-282, 1883.
5. Lindell, I. V., "Application of the image concept in electromagnetics," URSI Review of Radio Science 1990-1992, W. R. Stone (ed.), 107-126, Oxford University Press, 1993.
6. Lindell, I. V., "Image theory for electrostatic and magnetostatic problems involving a material sphere," Am. J. Phys., Vol. 61, No. 1, 39-44, 1993.
7. Iossel, Yu. Ya., "On the generalization of the reflection law for a point charge with respect to a sphere," (in Russian) Elektrichestvo, No. 12, 79-81, 1971.
8. Poladian, L., "General theory of electrical images in sphere pairs," Q. J. Mech. Appl. Math., Vol. 41, Pt. 3, 395-417, 1988.
9. Lindell, I. V., "Electrostatic image theory for the dielectric sphere," Radio Sci., Vol. 27, No. 1, 1-8, 1992.
10. Norris, W. T., "Charge images in a dielectric sphere," IEE Proc. Sci. Meas. Tech., Vol. 142, No. 2, 142-150; No. 6, 495, 1995.
11. Lindell, I. V. and J. J. Hänninen, "Static image principle for sphere in isotropic and bi-isotropic space," Radio Sci., Vol. 35, No. 3, 653-660, May-June 2000.
12. Redzic, D. V., "Comment on 'Electrostatic images by multipole expansion' by J. L. Marin and R. Rosas [Am. J. Phys., Vol. 52, 358-361, 1984]," Am. J. Phys., Vol. 62, No. 2, 182, 1994.
13. Sten, J. C.-E. and I.V. Lindell, "An electrostatic image solution for the conducting prolate spheroid," J. Electro. Waves Appl., Vol. 9, No. 4, 599-604, 1995.
14. Lindell, I. V., G. Dassios, and K. I. Nikoskinen, "Electrostatic image theory for the prolate conducting spheroid," J. Phys. D, submitted.
15. Morse, P. M. and H. Feshbach, Methods of Theoretical Physics, Part II, 1291, McGraw-Hill, New York, 1953.
16. Hobson, E. W., The Theory of Spherical and Ellipsoidal Harmonics, Chelsea, New York, 1965. Second reprint of the original edition of 1931 by Cambridge University Press.
17. Lindell, I. V., "Heaviside operational rules applicable to electromagnetic problems," Prog. Electro. Res., Vol. 26, 295-333, 2000.
18. Prudnikov, A. P., Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Special Functions, Gordon and Breach, New York, 1986.
19. Gradshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series and Products, Academic Press, New York, 1980.
20. Abramowitz, M. and I. Stegun, Handbook of Mathematical Functions, Dover, New York, 1965.
21. Lindell, I. V., "Heaviside operational method for delta function sequences," J. Electro. Waves Appl., Vol. 12, 913-927, 1998.