In classical antenna books, the field radiated by a filamentary antenna is calculated integrating the electrical current induced over the wires as if it was a primary (impressed) source. This is no technically incorrect, but is not rigorous. In this paper some formal steps are added to the classical procedure to do it more rigorous.
2. Jackson, J. D., "How an antenna launches its input power into radiation: The pattern of the poynting vector at and near an antenna," Am. J. Phys., Vol. 74, No. 4, 280-288, April 2006.
3. Schelkunoff, S. A., "A general radiation formula," Proceedings of the I.R.E., 660-666, October 1939.
4. King, R. W., "The linear antenna --- Eighty years of progress," Proceedings of the IEEE, Vol. 55, No. 1, 2-16, January 1967.
5. Collin, R. E., Antennas and Radiowave Propagation, McGraw-Hill Book Company, 1985.
6. Weeks, W. L., Antenna Engineering, McGraw-Hill Book Company, 1968.
7. Hallen, E., "Theoretical investigations into the transmitting and receiving qualities of antennae," N. A. R. Soc. Sci. Upsal., Series IV, Vol. 11, 1-44, 1938.
8. Mei, K. K., "On the integral equations of thin wire antennas," IEEE Transactions on Antennas and Propagation, Vol. 13, No. 3, 374-378, May 1965.
9. Thiele, G. A., "Calculation of the current distribution on a thin linear antenna," IEEE Transactions on Antennas and Propagation, Vol. 14, No. 5, 798-799, September 1966.
10. Harrington, R. F., Field Computation by Moment Methods, IEEE Press Series on Electromagnetic Wave Theory, Wiley-IEEE Press, 1991.
11. Balanis, C. A., Advanced Engineering Electromagnetics, John Wiley & Sons, 1989.
12. Stratton, J. A., Electromagnetic Theory, McGraw-Hill Book Company, 1941.
13. Harrington, R. F., Time-Harmonic Electromagnetic Fields, John Wiley & Sons, 2001.