Scattering Analysis of Antenna by Using Ludwig Based Hybrid Method

Scattering Analysis of Antenna by Using Ludwig Based Hybrid Method

Solving an electromagnetic problem can be handled in two phases. These are modelling the setupand carrying out the numeric evaluations. Throughout this study, the structure is modelled byBézier surfaces and the antenna used is meshed with triangular patches. For the calculation part,the method of moments and physical optics (MoM-PO) hybrid method is implemented. While thecalculations related with antenna are actualized by using MoM equations, the ones related withstructure are obtained by using PO equations. Modified Ludwig’s Algorithm is applied tocalculate the current integral for the PO-region. This gives the ability to obtain successful resultswhen the antenna is both close and far from the structure. Overall the stated modelling andcalculation technique gives accurate results and saves time and memory in comparison withMoM.

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  • Djordjevic, M., Notaros, B.M., “Higher order hybrid method of moments-physical optics modelling technique for radiation and scattering from large perfectly conducting surfaces”, IEEE Transactions on Antennas and Propagation, 53(2): 800-813, (2005).
  • Hodges, R. E., Rahmat-Samii, Y., “An iterative current-based hybrid method for complex structures”, IEEE Transactions on Antennas and Propagation, 45: 265–276, (1997).
  • Jakobus, U., Landstorfer, F. M., “Improved PO-MM hybrid formulation for scattering from threedimensional perfectly conducting bodies of arbitrary shape”, IEEE Transactions on Antennas and Propagation, 43(2): 162–169, (1995).
  • Gordon, W. B., “Far-field approximation to the Kirchoff-Helmholtz representations of scattered field”, IEEE Transactions on Antennas and Propagation, 23: 864–876, (1975).
  • Ludwig, A., “Computation of radiation patterns involving numerical double integration”, IEEE Transactions on Antennas and Propagation, 16(6): 767–769, (1968).
  • Filon, L. N. G., “On a quadrature formula for trigonometric integrals”, Proc. Royal Soc. Edinburgh, 49: 38–47, (1928).
  • Levin, D., “Procedures for computing one and two dimensional integrals of functions with rapid irregular oscillations”, Math. Comput,. 38(158): 531–538, (1982).
  • Iserles, A., Nørsett, S.P., “Quadrature methods for multivariate highly oscillatory integrals using derivatives”, Math. Comput., 75: 1233-1258, (2006).
  • Wu, Y. M., Jiang, L. J., Sha, W. E. I., Chew, W. C., “The Numerical Steepest Descent Path Method for Calculating Physical Optics Integrals on Smooth Conducting Quadratic Surfaces”, IEEE Transactions on Antennas and Propagation, 61(8): 1483–4193, (2013).
  • Zhang, J., Yu, W. M., Zhou, X. Y., Cui, T. J., “Efficient Evaluation of the Physical-Optics Integrals for Conducting Surfaces Using the Uniform Stationary Phase Method”, IEEE Transactions on Antennas and Propagation, 60: 2398–2408, (2012).
  • Perez, J., Cátedra, M. F., “Application of physical optics to the RCS computation of bodies modeled with NURBS surfaces”, IEEE Transactions on Antennas and Propagation, 42: 1404–1411, (1994).
  • Conde, O. M., Pérez, J., Catedra, M. F., “Stationary phase method application for the analysis of radiation of complex 3-D conducting structures”, IEEE Transactions on Antennas and Propagation, 49(5): 724–731, (2001).
  • Filon, L. N. G., “On a quadrature formula for trigonometric integrals”, Proc. Royal Soc. Edinburgh, 49: 38–47, (1928).
  • Wang, M., Chen, M., Liang, C., “Ludwig algorithm’s improvement and its application on NURBSPO method”, IEEE Inter. Symp. On Microwave, Antenna, Propag. and EMC Techn. for Wireless Communication, 258-260, (2005).
  • Xiang, F., Donglin, S., “Polynomial representation of NURBS and its application to high frequency scattering prediction”, Chinese Journal of Aero., 23: 235-239, (2010).
  • Wang, M., Wang, N., Liang, C.H., “Problem of singularity in Ludwig’s algorithm”, Microwave and Optical Technology Letters, 49: 400–403, (2007).
  • Yardım, F.E., Akçam, N., Bayraktar, M., “Shielding effect analysis of various configurations of the square patch elements”, Gazi University Journal of Science, 30(2): 123–132, (2017).