Electrostatic potential of point charges inside dielectric oblate spheroids

Journal of Electrostatics

Volumn 67, Issue 5, 2009, Pages 807-814

  Deng, Shaozhong ^a  

^a UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE   (United States)

Author keywords

Electrostatic potential; Linearized Poisson Boltzmann equation; Oblate spheroid; Poisson equation; Spheroidal wave function

Indexed keywords

DIELECTRIC MEDIUM; ELECTROSTATIC POTENTIAL; ELECTROSTATIC POTENTIALS; ELECTROSTATIC PROBLEMS; EXACT SOLUTION; LINEARIZED POISSON-BOLTZMANN EQUATION; NUMERICAL EXPERIMENTS; OBLATE SPHEROID; POINT CHARGE; PROLATE SPHEROID; SERIES SOLUTIONS; SPHEROIDAL WAVE FUNCTION;

BOLTZMANN EQUATION; CONVERGENCE OF NUMERICAL METHODS; ELECTRIC POTENTIAL; ELECTROSTATICS; LINEARIZATION; POISSON DISTRIBUTION; WAVE FUNCTIONS;

POISSON EQUATION;

EID: 69549107518     PISSN: 03043886     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.elstat.2009.06.007     Document Type: Article

References (18)

1. Deng S. Electrostatic potential of point charges inside dielectric prolate spheroids. J Electrostatics 66 (2008) 549-560
2. Okur A., and Simmerling C. In: Spellmeyer D. (Ed). Annu. Rep. Comput. Chem. Hybrid explicit/implicit solvation methods vol. 2 chap. 6 (2006) 97-109
3. Morse P.M., and Feshbach H. Methods of theoretical physics (1953), McGraw-Hill, New York
4. Hobson E.W. The theory of spherical and Ellipsoidal Harmonics (1931), Cambridge University Press
5. Smythe W.R. Static and dynamic electricity (1989), Hemisphere, New York
6. Flammer C. Spheroidal wave functions (1957), Stanford University Press, Stanford, CA
7. Stratton J., Morse P.M., Chu L.J., et al. Spheroidal wave functions (1956), Wiley, New York
8. Kirby P. Calculation of spheroidal wave functions. Comp Phys Commun 175 (2006) 465-472
9. Falloon P.E., Abbott P.C., and Wang J.B. Theory and computation of spheroidal wavefunctions. J Phys A: Math Gen 36 (2003) 5477-5495
10. Li L.-W., Kang X.-K., and Leong M.-S. Spheroidal wave functions in electromagnetic theory (2002), Wiley, New York
11. Li L.-W., Leong M.-S., Yeo T.-S., et al. Computations of spheroidal harmonics with complex arguments: a review with an algorithm. Phys Rev E 58 (1998) 6792-6806
12. Thompson W.J. Spheroidal wave functions. Comp Sci Eng 1 (1999) 84-87
13. Beu T.A., and Cmpeanu R.I. Prolate radial spheroidal wave functions. Comput Phys Commun 30 (1983) 177-185
14. Hodge D.B. Eigenvalues and eigenfunctions of the spheroidal wave equation. J Math Phys 11 (1970) 2308-2312
15. Yoon B.J., and Kim S. Electrophoresis of spheroidal particles. J Colloid Interface Sci 128 (1989) 275-288
16. Hsu J.-P., and Liu B.-T. Solution to the linearized Poisson-Boltzmann equation for a spheroidal surface under a general surface condition. J Colloid Interface Sci 183 (1996) 214-222
17. Hsu J.-P., and Liu B.-T. Exact solution to the linearized Poisson-Boltzmann equation for spheroidal surfaces. J Colloid Interface Sci 178 (1996) 785-788
18. Aoi T. On spheroidal functions. J Phys Soc Japan 10 (1955) 130-141