paper 150105142639

Published: 2015-07-09

A Generalized Vector-potential Integral Formulation for the Paraboloidal Reflector Antenna

Sulaiman Adeniyi Adekola,

Sulaiman Adeniyi Adekola

University of Lagos, Nigeria

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Alex Ike Mowete,

Alex Ike Mowete

University of Lagos, Nigeria

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Francis Olutunji Okewole

University of Lagos, Nigeria

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Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)519-523

Abstract

This paper develops a generalized vector magnetic potential integral formulation for the paraboloidal reflector antenna, using the elliptic paraboloid geometry as basis. First, parametric expressions informed by the problem geometry are specified for the conventional ‘field’ and ‘source’ points, and the ellipse’s major and minor axes are described by a common expression, also based on the geometry. When the expressions are utilized in the integral equation for the vector magnetic potential for the problem, and following the usual ‘magnitude’ and ‘phase’ approximations, an expression for the radiation field, which may be described as a general expression for certain special cases, emerges. It is shown for example, that when the ellipse’s eccentricity is set to zero to prescribe the circular paraboloid, the corresponding expression for the radiation agrees with those available in the open literature [1, 2].

Citation

Sulaiman Adeniyi Adekola, Alex Ike Mowete, and Francis Olutunji Okewole, "A Generalized Vector-potential Integral Formulation for the Paraboloidal Reflector Antenna ," Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)519-523

References

1. Salman, O. I., A. S. Tahir, and A. A. Al-Hilo, "Theoretical analysis of the radiation fields of parabolic reflector antenna fed by circular shaped microstrip antennas," Basrah Journal of Science (A), Vol. 30, No. 2, 30-43, 2012. Google Scholar

2. Maclean, T. S. M., Principles of Antennas, Cambridge University Press, New York, 1986. Google Scholar

3. Jones, E. M. T., "Paraboloid reflector and hyperboloid lens antennas," IRE Trans. Antennas Propagat., Vol. 701, No. 2, 119-127, 1954.
doi:10.1109/t-ap.1954.27984 Google Scholar

4. Lashab, M., C. Zebiri, and F. Benabdelaziz, "Wavelet-based moment method and physical optics use on large reflector antennas," Progress In Electromagnetics Research M, Vol. 2, 189-200, 2008.
doi:10.2528/pierm08042902 Google Scholar

5. Merabtine, N., A. Boualleg, and M. Benslama, "Analysis of radiation patterns and feed illumination of the reflector antenna using the physical and geometrical optics," Semiconductor Physics, Quantum Electronics & Optoelectronics, Vol. 9, No. 2, 53-57, 2006.
doi:10.15407/spqeo9.02.053 Google Scholar

6. Tuma, J. J., Engineering Matthematics Handbook, 3rd Edition, McGraw-Hill Book Company, 2006. Google Scholar

7. Adekola, S. A., A. Ike Mowete, and H. A. Muhammed, "A matrix-vector-potential analysis of the bi-elliptical toroidal helical antenna," PIERS Proceedings, Marrakesh, Morocco, March 20-23, 2011. Google Scholar

8. AdekolaS. A., A. I. Mowete, and A. A. Ayorinde, "Concerning a generalized formulation for the EM fields radiated by thin-wire antennas," Proc. of Nat. Conf., Dept. Elec. & Elec. Eng., Univ. of Lagos, July 15-17, 2006. Google Scholar

9. Lorenzo, Martinez, J. A., A. G. Pino, I. Vega, and M. Arias, "ICARA: Inducedcurrent analysis of reflector antennas," IEEE Antennas and Propagat. Magazine, Vol. 47, No. 2, 82-100, 2005. Google Scholar

10. Ergül, Z., and O. Gürel, "The use of curl-conforming basis function for the magnetic-field integral equation," IRE Trans. Antennas Propagat., Vol. 54, No. 7, 1917-1925, 1917. Google Scholar