Application of Rooftop Functions in the Analysis of Antenna Systems
Keywords:
Method of Moment, Rooftop Function, Antenna Systems Analysis, Computational ElectromagneticsAbstract
In this paper, we report the analyses of a single element antenna and array antenna using rooftop function as a basis and testing functions to model the current distribution on the antennas. The Method of Moments (MoM) was used to obtain matrix equation from the Electric Field Integral Equation (EFIE) from which the solution to the current distribution was obtained and validate using the Numerical Electromagnetic Code (NEC) software. The input impedance for dipole antenna was obtained and compared against measured results and other electromagnetic computational technique for a dipole antenna. A minimum convergence error percent of 0.03% was observed at the use of 30 rooftop functions. The single element wire antenna input impedance obtained produced better result and converged faster than the use of pulse testing technique. The antenna array characteristics simulated using the results obtained from a single dipole element, achieved the end-fire, broad-side and electronic beam steering (scanning) characteristics of linear array antenna.
References
Caswell, E.D., Analysis of a Helix Antenna Using a Moment Method Approach with Curve Basis and Testing Functions, Virginia Polytechnic Institute and State University, U.S.A.
David, B. D., Computational Electromagnetic and Microwave Engineering (Department of Electrical and Electronic, University of Stellencosch, South Africa, 2005)
G. Burke and A. Poggio, Numerical Electromagnetics Code (NEC)-Method of Moments, Part 2: Program Description—Code, 1981
Gibson C. Walton, Method of Moments in Electromagnetics (Chapman & Hall/CRC Taylor & Francis Group New York, 2008)
Hallen, E. (1938) “Theoretical investigations into the transmitting and receiving qualities of antennae,” Nova Acta (Uppsala), vol. 11, 1–44, 1938.
Harrington, R. F., Field Computation by Moment Methods (Macmillan, New York, 1968)
Kolundzija, B.M. and Sarkar, T.K.,On the choice of optimal basis functions for MoM/SIE, MoM/VIE, FEM and hybrid methods, IEEE Trans. Antenna Propagation,1998, 278 - 281 vol.1
Morita, N., Kumagai, N. and Mautz, J.R, Integral Equation Methods for Electromagnetics (Artech House, Boston, 1990)
Nomura, Y. and Hatta, T., the theory of a linear Antenna 1, Technical report, Tohoku University, Vol.17, Part 1, 1952
Pocklington, H. C., Electrical oscillations in wire, Camb. Phil. Soc. Proc. 9, 1990, 24- 332.
Richmond, J. H., Digital solutions of the rigorous equations for scattering problems Proc. IEEE 53, 1965, pp. 796-804.
Sadiku, M. N., Numerical Techniques in Electromagnetics (second Edition, CRC Press, Boca Raton London, 2001)
Storm, B., Investigation into Modern Aerial Theory and a new solution of Hallen’s Integral Equation for Cylindrical Aerial, Imperial College, London, U.K. 1953.
WandzuraS.M. Thorington,C.B. Turley,C.B.Turley, R.S. and Hamilton, L.R. Fast Fourier transform techniques for solving the electric field integral Equation for a periodic body Proc. IEEE, Microwave and Antenna propagation. 1992, pp 401-406, Vol.139.