The well-posedness of the integral equations for thin wire antennas with distributional incident fields

Quarterly Journal of Mechanics and Applied Mathematics

Volumn 52, Issue 4, 1999, Pages 489-497

  Rynne, Bryanr ^a  

^a HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIPOLE ANTENNAS; ELECTROMAGNETIC FIELDS; INDUCED CURRENTS; MATHEMATICAL MODELS;

HALLEN EQUATION; POCKLINGTON EQUATION; THIN WIRE ANTENNAS;

INTEGRAL EQUATIONS;

EID: 0033224818     PISSN: 00335614     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmam/52.4.489     Document Type: Article

References (11)

1. R. E. Collin and F. J. Zucker, Antenna Theory, Part 1 (McGraw-Hill, New York 1969).
2. G. P. Junker, A. A. Kishk and A. W. Glisson, A novel delta gap source model for center fed cylindrical dipoles. IEEE Trans. Ant. Prop. 43 (1995) 537-540.
3. T. K. Sarkar, A study of the various methods for computing electromagnetic field utilizing thin wire integral equations. Radio Science 18 (1983) 29-38.
4. D. S. Jones, Note on the integral equation for a straight wire antenna. IEE Proc. 128 (1981) 114-116.
5. R. A. Adams, Sobolev Spaces (Academic Press, London 1975).
6. B. P. Rynne, The well-posedness of the integral equations for thin wire antennas. MA J. appl. Maths. 49 (1992) 35-44.
7. A. E. Taylor and D. C. Lay, Introduction to Functional Analysis, 2nd edition (Wiley, New York 1980).
8. F. G. Tricomi, Integral Equations (Interscience, New York 1957).
9. E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals (University Press, Oxford 1946).
10. N. Kalyanasundaram, On the distribution of current on a straight wire antenna. IEE Proc. 132 (1985)407.
11. R. Kress, Linear Integral Equations (Springer, Berlin 1989).