35
Views
9
CrossRef citations to date
0
Altmetric
Articles

ELECTROSTATIC IMAGE THEORY FOR TWO INTERSECTING CONDUCTING SPHERES

Pages 1643-1660 | Published online: 03 Apr 2012

References

  • Thomson , W. (Kelvin . 1845 . Extrait d'une lettre de M. William Thomson á M. Liouville . originally in Journal de Mathematiques Pures et Appliqués , 10 : 364 Vol. 12, 256–264, 1847. Reprint of Papers on Electricity and Magnetism, Macmillan, London, 144–146, 1872
  • Maxwell , J. C. 1891 . A Treatise on Electricity and Magnetism , 3rd ed. , Vol. 1 , Clarendon Press . reprint Dover, 261–263, 1954
  • Lindell , I. V. and Hänninen , J. J. 2000 . Static image principle for thesphere in isotropic or bi-isotropic space . Radio Sci. , 35 ( No. 3 ) May–June : 653 – 660 .
  • Thomson , J. J. 1897 . Elemente der Mathematischen Theorie der Elektrizität und Magnetismus , Brunswick : Vieweg . Chapter 5
  • Kottler , F. 1927 . “ Elektrostatik der Leiter ” . In Handbuch der Physik , Edited by: Westphal , W. Vol. 12 , 420 – 422 . Berlin : Springer . 434–436
  • Jeans , J. 1933 . The Mathematical Theory of Electricity and Magnetism , 5th ed. , Cambridge : University Press . Chapter 8
  • Smythe , W. R. 1950 . Static and Dynamic Electricity , 2nd ed. , 125 New York : McGraw-Hill .
  • Lebedev , N. N. , Skalskaya , I. P. and Uflyand , Y. S. 1979 . Worked Problems in Applied Mathematics , 242 – 247 . New York : Dover .
  • McAllister , I. W. 1986 . On the electrostatics of spherical protrusions . IEE Proc. A , 133 ( No. 2 ) : 84 – 88 .
  • Kim , I. C. and Torquato , S. 1992 . Effective conductivity of suspensions of overlapping spheres . J. Appl. Phys. , 71 ( No. 6 ) March : 2727 – 2735 .
  • Zhou , H.-X. , Szabo , A. , Douglas , J. F. and Hubbard , J. B. 1994 . A Brownian dynamics algorithm for calculating the hydrodynamic friction and the electrostatic capacitance of an arbitrary shaped object . J. Chem. Phys. , 100 ( No. 5 ) March : 3821 – 3826 .
  • Palaniappan , D. and Felderhof , B. U. 1999 . Electrostatics of the conducting double sphere . J. Appl. Phys. , 86 ( No. 6 ) September : 3418 – 3422 .
  • Felderhof , B. U. and Palaniappan , D. 2000 . Longitudinal and transverse polarizability of the conducting double sphere . J. Appl. Phys. , 88 ( No. 9 ) November : 4947 – 4952 .
  • Zwillinger , D. , ed. 1996 . CRC Standard Mathematical Tables and Formulae , 30th ed. , Boca Raton : CRC Press .
  • Sihvola , A. H. and Ylä-Oijala , P. work to be published
  • Tsang , L. , Kong , J. A. and Shin , R. T. 1986 . Theory of microwave remote sensing , New York : Wiley .
  • Milton , G. W. 2002 . The Theory of Composites , Cambridge University Press .
  • Sihvola , A. 1999 . Electromagnetic Mixing Formulas and Applications , Electromagnetic Waves Series 47 London : IEE Publishing .
  • Stauffer , D. and Aharony , A. 1994 . Introduction to percolation theory , Second edition , London and Philadelphia : Taylor & Francis .
  • Maxwell Garnett , J. C. 1904 . Colours in metal glasses and in metal films . Trans. Royal Society (London) , CCIII : 385 – 42 .
  • Schiffer , M. and Szegö , G. 1949 . Virtual mass and polarization . Transactions of the American Mathematical Society , 67 ( Issue 1 ) September : 130 – 205 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.