Research Article
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Year 2018, Volume: 31 Issue: 4, 1156 - 1164, 01.12.2018

Abstract

References

  • [1] Djordjevic, M. and Notaros, B.M., “Higher order hybrid method of moments-physical optics modelling technique for radiation and scattering from large perfectly conducting surfaces,” IEEE Trans. on Antennas and Propag., 53(2): 800-813, (2005).
  • [2] Hodges, R. E. and Rahmat-Samii, Y., “An iterative current-based hybrid method for complex structures,” IEEE Trans. Antennas Propagat., 45: 265–276, (1997).
  • [3] Jakobus, U. and Landstorfer, F. M., “Improved PO-MM hybrid formulation for scattering from three-dimensional perfectly conducting bodies of arbitrary shape,” IEEE Trans. Antennas Propagat., 43(2): 162–169, (1995).
  • [4] Gordon, W. B., “Far-field approximation to the Kirchoff-Helmholtz representations of scattered field,” IEEE Trans. Antennas Propagat., 23: 864–876, (1975).
  • [5] Ludwig, A., “Computation of radiation patterns involving numerical double integration,” IEEE Trans. Antennas Propag., 16(6): 767–769, (1968).
  • [6] Filon, L. N. G., “On a quadrature formula for trigonometric integrals” Proc. Royal Soc. Edinburgh, 49: 38–47, (1928).
  • [7] Levin, D., “Procedures for computing one and two dimensional integrals of functions with rapid irregular oscillations,” Math. Comput,. 38(158): 531–538, (1982).
  • [8] Iserles, A. and Nørsett, S.P., “Quadrature methods for multivariate highly oscillatory integrals using derivatives,” Math. Comp., 75: 1233-1258, (2006).
  • [9] Wu, Y. M., Jiang, L. J., Sha, W. E. I. and Chew, W. C., “The Numerical Steepest Descent Path Method for Calculating Physical Optics Integrals on Smooth Conducting Quadratic Surfaces,” IEEE Trans. Antennas Propag., 61(8): 1483–4193, (2013).
  • [10] Zhang, J., Yu, W. M., Zhou, X. Y. and 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).
  • [11] Perez, J. and Cátedra, M. F., “Application of physical optics to the RCS computation of bodies modeled with NURBS surfaces,” IEEE Trans. Antennas Propagat., 42: 1404–1411, (1994).
  • [12] Conde, O. M., Pérez, J., and Catedra, M. F., “Stationary phase method application for the analysis of radiation of complex 3-D conducting structures,” IEEE Trans. Antennas Propag., 49(5): 724–731, (2001).
  • [13] Chen, M., Zhang, Y., Zhao, X.W. and Liang, C. H., “Analysis of antenna around NURBS surface with hybrid MoM-PO technique,” IEEE Trans. Antennas Propag., 55(2): 407–413, (2007).
  • [14] Wang, M., Chen, M. and Liang, C., “Ludwig algorithm’s improvement and its application on NURBS-PO method,” IEEE Inter. Symp. On Microwave, Antenna, Propag. and EMC Techn.for Wireless Comm., 258-260, (2005).
  • [15] Xiang, F. and Donglin, S., “Polynomial representation of NURBS and its application to high frequency scattering prediction,” Chinese Journal of Aero., 23: 235-239, (2010).
  • [16] Wang, M., Wang, N. and Liang, C.H., “Problem of singularity in Ludwig’s algorithm,” Microwave and Optical Tech. Letters, 49: 400–403, (2007).
  • [17] Yardım, F.E., Akçam, N. and Bayraktar, M., “Shielding effect analysis of various configurations of the square patch elements,” Gazi University Journal of Science, 30(2): 123–132, (2017).

Scattering Analysis of Antenna by Using Ludwig Based Hybrid Method

Year 2018, Volume: 31 Issue: 4, 1156 - 1164, 01.12.2018

Abstract

Solving an electromagnetic problem can be
handled in two phases. These are modelling the
setup and carrying out the numeric evaluations. Throughout this study, the
structure is modelled by
Bézier 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 the calculations related with antenna are
actualized by using MoM equations, the ones related with structure are obtained
by using PO equations. Modified Ludwig’s Algorithm is applied to calculate the
current integral for the PO-region. This gives the ability to obtain successful
results when the antenna is both close and far from the structure. Overall the
stated modelling and calculation technique gives accurate results and saves
time and memory in comparison with MoM. 

References

  • [1] Djordjevic, M. and Notaros, B.M., “Higher order hybrid method of moments-physical optics modelling technique for radiation and scattering from large perfectly conducting surfaces,” IEEE Trans. on Antennas and Propag., 53(2): 800-813, (2005).
  • [2] Hodges, R. E. and Rahmat-Samii, Y., “An iterative current-based hybrid method for complex structures,” IEEE Trans. Antennas Propagat., 45: 265–276, (1997).
  • [3] Jakobus, U. and Landstorfer, F. M., “Improved PO-MM hybrid formulation for scattering from three-dimensional perfectly conducting bodies of arbitrary shape,” IEEE Trans. Antennas Propagat., 43(2): 162–169, (1995).
  • [4] Gordon, W. B., “Far-field approximation to the Kirchoff-Helmholtz representations of scattered field,” IEEE Trans. Antennas Propagat., 23: 864–876, (1975).
  • [5] Ludwig, A., “Computation of radiation patterns involving numerical double integration,” IEEE Trans. Antennas Propag., 16(6): 767–769, (1968).
  • [6] Filon, L. N. G., “On a quadrature formula for trigonometric integrals” Proc. Royal Soc. Edinburgh, 49: 38–47, (1928).
  • [7] Levin, D., “Procedures for computing one and two dimensional integrals of functions with rapid irregular oscillations,” Math. Comput,. 38(158): 531–538, (1982).
  • [8] Iserles, A. and Nørsett, S.P., “Quadrature methods for multivariate highly oscillatory integrals using derivatives,” Math. Comp., 75: 1233-1258, (2006).
  • [9] Wu, Y. M., Jiang, L. J., Sha, W. E. I. and Chew, W. C., “The Numerical Steepest Descent Path Method for Calculating Physical Optics Integrals on Smooth Conducting Quadratic Surfaces,” IEEE Trans. Antennas Propag., 61(8): 1483–4193, (2013).
  • [10] Zhang, J., Yu, W. M., Zhou, X. Y. and 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).
  • [11] Perez, J. and Cátedra, M. F., “Application of physical optics to the RCS computation of bodies modeled with NURBS surfaces,” IEEE Trans. Antennas Propagat., 42: 1404–1411, (1994).
  • [12] Conde, O. M., Pérez, J., and Catedra, M. F., “Stationary phase method application for the analysis of radiation of complex 3-D conducting structures,” IEEE Trans. Antennas Propag., 49(5): 724–731, (2001).
  • [13] Chen, M., Zhang, Y., Zhao, X.W. and Liang, C. H., “Analysis of antenna around NURBS surface with hybrid MoM-PO technique,” IEEE Trans. Antennas Propag., 55(2): 407–413, (2007).
  • [14] Wang, M., Chen, M. and Liang, C., “Ludwig algorithm’s improvement and its application on NURBS-PO method,” IEEE Inter. Symp. On Microwave, Antenna, Propag. and EMC Techn.for Wireless Comm., 258-260, (2005).
  • [15] Xiang, F. and Donglin, S., “Polynomial representation of NURBS and its application to high frequency scattering prediction,” Chinese Journal of Aero., 23: 235-239, (2010).
  • [16] Wang, M., Wang, N. and Liang, C.H., “Problem of singularity in Ludwig’s algorithm,” Microwave and Optical Tech. Letters, 49: 400–403, (2007).
  • [17] Yardım, F.E., Akçam, N. and Bayraktar, M., “Shielding effect analysis of various configurations of the square patch elements,” Gazi University Journal of Science, 30(2): 123–132, (2017).
There are 17 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Electrical & Electronics Engineering
Authors

Tayfun Okan

Nursel Akcam This is me

Publication Date December 1, 2018
Published in Issue Year 2018 Volume: 31 Issue: 4

Cite

APA Okan, T., & Akcam, N. (2018). Scattering Analysis of Antenna by Using Ludwig Based Hybrid Method. Gazi University Journal of Science, 31(4), 1156-1164.
AMA Okan T, Akcam N. Scattering Analysis of Antenna by Using Ludwig Based Hybrid Method. Gazi University Journal of Science. December 2018;31(4):1156-1164.
Chicago Okan, Tayfun, and Nursel Akcam. “Scattering Analysis of Antenna by Using Ludwig Based Hybrid Method”. Gazi University Journal of Science 31, no. 4 (December 2018): 1156-64.
EndNote Okan T, Akcam N (December 1, 2018) Scattering Analysis of Antenna by Using Ludwig Based Hybrid Method. Gazi University Journal of Science 31 4 1156–1164.
IEEE T. Okan and N. Akcam, “Scattering Analysis of Antenna by Using Ludwig Based Hybrid Method”, Gazi University Journal of Science, vol. 31, no. 4, pp. 1156–1164, 2018.
ISNAD Okan, Tayfun - Akcam, Nursel. “Scattering Analysis of Antenna by Using Ludwig Based Hybrid Method”. Gazi University Journal of Science 31/4 (December 2018), 1156-1164.
JAMA Okan T, Akcam N. Scattering Analysis of Antenna by Using Ludwig Based Hybrid Method. Gazi University Journal of Science. 2018;31:1156–1164.
MLA Okan, Tayfun and Nursel Akcam. “Scattering Analysis of Antenna by Using Ludwig Based Hybrid Method”. Gazi University Journal of Science, vol. 31, no. 4, 2018, pp. 1156-64.
Vancouver Okan T, Akcam N. Scattering Analysis of Antenna by Using Ludwig Based Hybrid Method. Gazi University Journal of Science. 2018;31(4):1156-64.