Electrostatic Image Theory for the Dielectric Prolate Spheroid

References

• 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 .
   Google Scholar
• Maxwell , J. C. 1954 . A Tretise on Electricity and Magnetism , 244 – 283 . New York : Dover . A reprint of the third edition published by Clarendon Press in 1891
   Google Scholar
• Jeans , J. 1933 . The Mathematical Theory of Electricity and Magnetism , 5th ed. , 185 – 299 . Cambridge University Press .
   Google Scholar
• Neumann , C. 1883 . Hydrodynamiche Untersuchungen , 271 – 282 . Leipzig : Teubner .
   Google Scholar
• Lindell , I. V. 1993 . “ Application of the image concept in electromagnetics ” . In URSI Review of Radio Science 1990–1992 , Edited by: Stone , W. R. 107 – 126 . Oxford University Press .
   Google Scholar
• Lindell , I. V. 1993 . Image theory for electrostatic and magnetostatic problems involving a material sphere . Am. J. Phys. , 61 ( No. 1 ) : 39 – 44 .
   Web of Science ®Google Scholar
• Iossel , Yu. Ya. 1971 . On the generalization of the reflection law for a point charge with respect to a sphere . Elektrichestvo , : 79 – 81 . in Russian
   Google Scholar
• Poladian , L. 1988 . General theory of electrical images in sphere pairs . Q. J. Mech. Appl. Math. , 41 : 395 – 417 . Pt. 3
   Web of Science ®Google Scholar
• Lindell , I. V. 1992 . Electrostatic image theory for the dielectric sphere . Radio Sci. , 27 ( No. 1 ) : 1 – 8 .
   Web of Science ®Google Scholar
• Norris , W. T. 1995 . Charge images in a dielectric sphere . IEE Proc. Sci. Meas. Tech. , 142 ( No. 2 ) : 142 – 150 . No. 6, 495
   Google Scholar
• Lindell , I. V. and Hänninen , J. J. 2000 . Static image principle for sphere in isotropic and bi-isotropic space . Radio Sci. , 35 ( No. 3 ) May–June : 653 – 660 .
   Web of Science ®Google Scholar
• Redzic , D. V. 1994 . 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. , 62 ( No. 2 ) : 182
   Web of Science ®Google Scholar
• Sten , J. C.-E. and Lindell , I. V. 1995 . An electrostatic image solution for the conducting prolate spheroid . J. Electro. Waves Appl. , 9 ( No. 4 ) : 599 – 604 .
   Web of Science ®Google Scholar
• Lindell , I. V. , Dassios , G. and Nikoskinen , K. I. Electrostatic image theory for the prolate conducting spheroid . J. Phys. D , submitted
   Google Scholar
• Morse , P. M. and Feshbach , H. 1953 . Methods of Theoretical Physics, Part II, 1291 , New York : McGraw-Hill .
   Google Scholar
• Hobson , E. W. 1965 . The Theory of Spherical and Ellipsoidal Harmonics , New York : Chelsea . Second reprint of the original edition of 1931 by Cambridge University Press
   Google Scholar
• Lindell , I. V. 2000 . Heaviside operational rules applicable to electromagnetic problems . Prog. Electro. Res. , 26 : 295 – 333 .
   Google Scholar
• Prudnikov , A. P. , Brychkov , Yu. A. and Marichev , O. I. 1986 . Integrals and Series, Special Functions , New York : Gordon and Breach .
   Google Scholar
• Gradshteyn , I. S. and Ryzhik , I. M. 1980 . Table of Integrals, Series and Products , New York : Academic Press .
   Google Scholar
• Abramowitz , M. and Stegun , I. 1965 . Handbook of Mathematical Functions , New York : Dover .
   Google Scholar
• Lindell , I. V. 1998 . Heaviside operational method for delta function sequences . J. Electro. Waves Appl. , 12 : 913 – 927 .
   Web of Science ®Google Scholar