Bibliography for Electrostatics

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  1. The Electric Field in the Round Hole of the Air Plane Capacitor  PDF  
    R.Bansevicius; J.A.Virbalis
    Elektronika Ir Elektrotechnika. 2004. Nr. 2(51) T 190 Elektros In ~inerija, pp. 1392 -- 1215.
  2. Electrostatic analysis of a comb-finger actuator with Schwarz-Christoffel conformal mapping
    Bruschi, Paolo; Nannini, Andrea; Pieri, Francesco; Raffa, Giuseppe; Vigna, Benedetto; Zerbini, Sarah
    Sensors and Actuators, A: Physical, v 113, n 1, Jun 15, 2004, p 106-117, Compendex.
  3. Molecular modeling of s1 receptor ligands: A model of binding conformational and electrostatic considerations
    Gund, Tamara M.; Floyd, Jie; Jung, Dawoon
    Journal of Molecular Graphics and Modelling, v 22, n 3, January, 2004, p 221-230, Compendex.
  4. A method of numerical conformal mapping of curved slit domains by the charge simulation method
    Okano D.; Ogata H.; Amano K.
    Journal of Computational and Applied Mathematics, 1 March 2003, vol. 152, no. 1, pp. 441-450(10), Ingenta.    
  5. Electrostatic imaging via conformal mapping
    Ibrahim Akduman; Rainer Kress
    Inverse Problems, Volume 18, Number 6, December 2002, pp. 1659-1672, Compendex.
  6. The application of electron beam delivery using dose rate variation and dynamic couch motion in conformal treatment of the cranial-spinal axis
    Chapek J.; Watson G.; Smith L.M.; Leavitt D.D.
    Medical Dosimetry, Winter 2002, vol. 27, no. 4, pp. 265-268(4), Ingenta.
  7. Conformal Property of the Finsler Space FSR and Extension of Electromagnetic Field Equations
    Author: Asanov G.S.
    Reports on Mathematical Physics, April 2000, vol. 45, no. 2, pp. 155-169(15), Ingenta.
  8. Electron contamination and build-up doses in conformal radiotherapy fields
    Hounsell A.R.; Wilkinson J.M.
    Physics in Medicine and Biology, 1999, vol. 44, no. 1, pp. 43-55(13), Ingenta.
  9. Conformal uniqueness results in anisotropic electrical impedance imaging.
    Lionheart, W. R. B.
    Inverse Problems 13 (1997), no. 1, 125--134, MathSciNet.  
  10. Conformal Invariance and Electrodynamics: Applications and General Formalism
    Codirla C.; Osborn H.
    Annals of Physics, October 1997, vol. 260, no. 1, pp. 91-116(26), Ingenta.
  11. Analysis of plane electrostatic fields in doubly connected polygonal domains using conformal mappings.
    Vecheslavov, V. V.; Tolstobrova, N. I.
    J. Computational Phys. 24 (1977), no. 2, 133--140, MathSciNet.  
  12. Plate-electrode electrostatic undulators: Field calculation using conformal mapping
    Papadichev, V.A.  
    Nuclear Instruments & Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 1 July 1997, vol. 393, no. 1, pp. 409-413(5), Compendex.
  13. Quasi-Static Conductor Loss Calculations in Transmission Lines using a New Conformal Mapping Technique
    E. Tuncer, B.-T. Lee, M. S. Islam, and D. P. Neikirk
    IEEE Trans. Microwave Theory Tech., Sept. 1994.
  14. Electric field and conformational effects in cytochrome c peroxidase studied by high-resolution fluorescence spectroscopy and electrostatic calculations
    Vanderkooi, Jane M.; Sharp, K.; Fidy, J.; Yonetani, T.; Anni, H.
    Proceedings of SPIE - The International Society for Optical Engineering, v 2137, 1994, p 353-359, Compendex.
  15. When Do Orthogonal Families of Curves Possess a Complex Potential?  
    Irl C. Bivens  
    Mathematics Magazine, Vol. 65, No. 4. (Oct., 1992), pp. 226-235, Jstor.
  16. Conformal Mapping and the Current Distributions in [Graphics:../Images/ElectrostaticsBib_gr_1.gif] As Heterostructures  
    Li, Z.-M. and S. P. McAlister  
    J. App. Phys., V. 66, No. 2, (1989), pp. 680-685.
  17. A Conformal-Mapping Evaluation of the Pion Form Factor in the Spacelike Region
    Choudary, A. R. and B. H. Kellett and C. Verzegnassi
    Lettere al Nuovo Cimento, Ser. 2, Vol. 15., No. 16, (1989), pp. 579-582.
  18. A scalar variational conformal mapping technique for weakly guiding dielectric waveguides
    Wu, Ruey-Beei and Chun Hsiung Chen
    IEEE J. of Quantum Electronics, V. 22, (1986), pp. 603-609.
  19. Numerical conformal mapping via the Szegö kernel
    Kerzman, Norberto; Trummer, Manfred R.
    Special issue on numerical conformal mapping. J. Comput. Appl. Math. 14 (1986), no. 1-2, 111--123.
  20. A new approach to the conformal invariance problem in quantum electrodynamics
    Author: Palchik M.Y.
    Journal of Physics A: Mathematical and General, 1983, vol. 16, no. 17, pp. 4175-4175(1), Ingenta.
  21. The Electrostatic Potential Field About a Thin Oblate Body of Revolution  
    Richard N. Barshinger; James F. Geer  
    SIAM Journal on Applied Mathematics, Vol. 41, No. 1. (Aug., 1981), pp. 112-126, Jstor.   
  22. The Cauchy kernel, the Szegö kernel, and the Riemann Mapping Function
    Kerzman,N.; Stein, E.M.
    Math. Ann. 236 (1978),no.1,85--93.        
  23. Applications of Conformal Mapping to Potential Theory Through Computer Graphics  
    Donald T. Piele; Morris W. Firebaugh; Robert Manulik
    The American Mathematical Monthly, Vol. 84, No. 9 (Nov., 1977), pp. 677-692, Jstor.   
  24. Uniform Asymptotic Solutions for the Two-Dimensional Potential Field About a Slender Body  
    James F. Geer  
    SIAM Journal on Applied Mathematics, Vol. 26, No. 3. (May, 1974), pp. 539-553, Jstor.   
  25. Transmission-Line Properties by Conformal Mapping
    Foster, K. and R. Anderson
    Proceedings IEE, Vol. 121, No. 5, (1974), pp. 337-339.
  26. Fringe Field Readback Voltage Computations for Finite Pole-Tip Length Recording Heads
    Potter, Robert I. and Robert Schmulian and Keith Hartman  
    IEEE Transactions on Magnets, Vol. 7, No. 3, (1971), pp. 689-695.
  27. Certain plane problems of electrostatics which are connected with the conformal mapping of circular quadrangles. (Russian)
    Pergamenceva, È. D.
    Differencial\cprime nye Uravnenija 5 1969 935--944, MathSciNet.  
  28. The vector-parametric method of Dru\v zkin for the solution of problems of electrostatics, and the method of conformal transformations. (Russian)
    Linkovskii, Z. B.
    WZE Wiss. Z. Elektrotech. 12 1968/1969 126--128, MathSciNet.  
  29. Some Results in Vector Potential Theory  
    J. M. Doyle
    The American Mathematical Monthly, Vol. 74, No. 4. (Apr., 1967), pp. 392-399, Jstor.   
  30. Integral Equation Methods in Potential Theory. II  
    G. T. Symm
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 275, No. 1360. (Aug. 20, 1963), pp. 33-46, Jstor.   
  31. Conformal Transformation Charts Used by Electrical Engineers  
    H. F. Mathis
    Mathematics Magazine, Vol. 36, No. 1 (Jan., 1963), pp. 25-30, Jstor.   
  32. On conformal mapping by means of an electrical analogy. (Russian)
    Samanskii, V. E.
    Ukrain. Mat. Z. 8 (1956), 92--96, MathSciNet.  
  33. On the electrical modelling of the conformal mapping of the exterior of a unit circle on the exterior of a given curve. (Ukrainian)
    Ugodcikov, A. G.; Serebrennikova, I. I.
    Akad. Nauk Ukraïn. RSR Prikl. Meh. 3 1957 269--276, MathSciNet.  
  34. On the solution of the plane problem for a composite isotropic medium by means of electrical modelling of the conformal transformation. (Ukrainian)
    Ugodchikov, A. G.
    Dopovidi Akad. Nauk Ukrain. RSR 1957 (1957), 343--347, MathSciNet.  
  35. Conformal mapping related to torsional rigidity, principal frequency, and electrostatic capacity. Construction and applications of conformal maps.
    Szegö, G.
    Proceedings of a symposium, pp. 79--83. National Bureau of Standards, Appl. Math. Ser., No. 18, U. S. Government Printing Office, Washington, D. C., 1952, MathSciNet.  
  36. On Existence Theorems of Potential Theory and Conformal Mapping  
    P. R. Garabedian; M. Schiffer  
    The Annals of Mathematics, 2nd Ser., Vol. 52, No. 1. (Jul., 1950), pp. 164-187, Jstor.   
  37. Conformal Transformation with the Aid of an Electrical Tank  
    K. N. E. Bradfield; S. G. Hooker; R. V. Southwell
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 159, No. 898 (Apr., 1937), pp. 315-346, Jstor.   
  38. Two Problems in Potential Theory  
    Thornton C. Fry  
    The American Mathematical Monthly, Vol. 39, No. 4. (Apr., 1932), pp. 199-209, Jstor.   
  39. On Logarithmic Potential and Analytic Functions  
    C. W. Emmons  
    The American Mathematical Monthly, Vol. 17, No. 11. (Nov., 1910), pp. 205-213, Jstor.   

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2006