Static image principle for the sphere in isotropic or bi-isotropic space

Radio Science

Volumn 35, Issue 3, 2000, Pages 653-660

  Lindell, I V ^a   Hanninen J J ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CIRCULAR WAVEGUIDES; DIELECTRIC MATERIALS; ELECTRIC CHARGE; ELECTRIC IMPEDANCE; ELECTROSTATICS; INVERSE PROBLEMS; MAGNETIC MATERIALS; MATHEMATICAL TRANSFORMATIONS; MAXWELL EQUATIONS;

ELECTRIC POINT CHARGE; ELECTROSTATIC IMAGE PRINCIPLE; KELVIN TRANSFORMATION; PERFECTLY ELECTRICALLY CONDUCTING SPHERE; PERFECTLY MAGNETICALLY CONDUCTING SPHERE;

ELECTROMAGNETIC FIELD THEORY;

EID: 0342520787     PISSN: 00486604     EISSN: None     Source Type: Journal    
DOI: 10.1029/1999RS002286     Document Type: Article

References (18)

1. Iossel, Y. Y., On the generalization of the reflection law for a point charge with respect to a sphere (in Russian), Elektrichestvo, 12, 79-81, 1971.
2. Kellogg, O. D., Foundations of Potential Theory, pp. 231-236, Springer-Verlag, New York, 1929. (Reprint, pp. 231-236, Dover, Mineola, N. Y., 1953.)
3. Kong, J. A., Electromagnetic Wave Theory, 2nd ed., p. 6, John Wiley, New York, 1990.
4. Lindell, I. V., Electrostatic image theory for the dielectric sphere, Radio Sci., 27(1), 1-8, 1992.
5. Lindell, I. V., Image theory for electrostatic and magnetostatic problems involving a material sphere, Am. J. Phys., 61(1), 39-44, 1993.
6. Lindell, I. V., Electrostatic image theory for a sphere with impedance surface, J. Phys. D Appl. Phys., 27, 1605-1607, 1994.
7. Lindell, I. V., A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-Isotropic Media, pp. 53-54, Artech House, Norwood, Mass., 1994.
8. Milne-Thomson, L. M., Theoretical Hydrodynamics, 5th ed., pp. 519-521, Dover, Mineola, N. Y., 1996.
9. Mitter, H., Elektrodynamik, pp. 209-215, B. I. Wissenschaftverl., Mannheim, Germany, 1990.
10. Neumann, C., Hydrodynamische Untersuchungen, pp. 271-282, Teubner, Leipzig, Germany, 1883.
11. Norris, W. T., Charge images in a dielectric sphere, IEE Proc. A Sci. Meas. Technol., 142(2), 142-150, 1995.
12. Poladian, L., General theory of electrical images in sphere pairs, Q. J. Mech. Appl. Math., 41(3), 395-417, 1988.
13. Rutherford, D. E., Fluid Dynamics, pp. 104-108, Oliver and Boyd, White Plains, N. Y., 1959.
14. Sneddon, I., Elements of Partial Differential Equations, pp. 164-167, McGraw-Hill, New York, 1957.
15. Thomson, W. (Lord Kelvin), Extract of a letter from Mr. William Thomson to Mr. Liouville (in French), J. Math. Pures Appl., 10, 364, 1845. (Reprint, Reprint of Papers on Electrostatics and Magnetism, pp. 144-146, Macmillan, Indianapolis, Indiana, 1872.)
16. Thomson, W. (Lord Kelvin), Extract of a letter from Mr. William Thomson to Mr. Liouville (in French), J. Math. Pures Appl., 10, 364, 1845. (Reprint, Reprint of Papers on Electrostatics and Magnetism, pp. 144-146, Macmillan, Indianapolis, Indiana, 1872.)
17. Thomson, W. (Lord Kelvin), Extracts of two letters to Mr. Liouville by Mr. William Thomson (in French), J. Math. Pures Appl., 12, 256, 1847. (Reprint, Reprint of Papers on Electrostatics and Magnetism, pp. 146-154, Macmillan, Indianapolis, Indiana, 1872.)
18. Thomson, W. (Lord Kelvin), Extracts of two letters to Mr. Liouville by Mr. William Thomson (in French), J. Math. Pures Appl., 12, 256, 1847. (Reprint, Reprint of Papers on Electrostatics and Magnetism, pp. 146-154, Macmillan, Indianapolis, Indiana, 1872.)