2014-12-04
An Efficient Magnetic Field Integral Equation Based Iterative Solver
By
Progress In Electromagnetics Research M, Vol. 40, 27-35, 2014
Abstract
An iterative solution scheme based on the magnetic field integral equation (MFIE) to compute electromagnetic scattering for arbitrary, perfect electrically conducting (PEC) objects is topic of this contribution. The method uses simple and efficient approaches for the computation of surface current interactions which are typically found in the well-known iterative physical optics (IPO) technique. However, the proposed method is not asymptotic, since no physical optics (PO) concepts are utilized. Furthermore, a least squares correction method is introduced, which is applied not on the complete current vector, but on individual groups of currents. This helps to quickly reduce the residual error and to improve convergence. The result is a simple method which is capable to improve the simulation results obtained by pure asymptotic methods such as PO or shooting and bouncing rays (SBR). The method can be regarded as a simplified iterative method of moments (MoM) technique. Numerical examples show that the proposed approach is advantageous e.g. in problem cases where the neglect of diffraction effects or currents in shadow regions would cause large errors. It also provides an improved prediction of the peak scattering contributions.
Citation
Robert Brem, and Thomas F. Eibert, "An Efficient Magnetic Field Integral Equation Based Iterative Solver," Progress In Electromagnetics Research M, Vol. 40, 27-35, 2014.
doi:10.2528/PIERM14072506
References

1. Jakobus, U. and F. Landstorfer, "Improved PO-MM hybrid formulation for scattering from three-dimensional perfectly conducting bodies of arbitrary shape," IEEE Trans. Antennas Propagat., Vol. 43, No. 2, 162-169, 1995.
doi:10.1109/8.366378        Google Scholar

2. Jakobus, U. and F. Landstorfer, "Improvement of the PO-MoM hybrid method by accounting for effects of perfectly conducting wedges," IEEE Trans. Antennas Propagat., Vol. 43, No. 10, 1123-1129, 1995.
doi:10.1109/8.467649        Google Scholar

3. Jakobus, U. and F. Landstorfer, "Application of Fock currents for curved convex surfaces within the framework of a current-based hybrid method," Third International Conference on Computation in Electromagnetics, 415-420, Bath, UK, Apr. 1996.
doi:10.1049/cp:19960223        Google Scholar

4. Hodges, R. and Y. Rahmat-Samii, "An iterative current-based hybrid method for complex structure," IEEE Trans. Antennas Propagat., Vol. 45, No. 2, 265-276, 1997.
doi:10.1109/8.560345        Google Scholar

5. Tasic, M. and B. Kolundzija, "Efficient analysis of large scatterers by physical optics driven method of moments," IEEE Trans. Antennas Propagat., Vol. 59, No. 8, 2905-2915, 2011.
doi:10.1109/TAP.2011.2158785        Google Scholar

6. Thiele, G. and T. Newhouse, "A hybrid technique for combining moment methods with the geometrical theory of diffraction," IEEE Trans. Antennas Propagat., Vol. 23, No. 1, 62-69, 1975.
doi:10.1109/TAP.1975.1141004        Google Scholar

7. Tzoulis, A. and T. Eibert, "A hybrid FEBI-MLFMM-UTD method for numerical solutions of electromagnetic problems including arbitrarily shaped and electrically large objects," IEEE Trans. Antennas Propagat., Vol. 53, No. 10, 3358-3366, 2005.
doi:10.1109/TAP.2005.856348        Google Scholar

8. Kaye, M., P. Murthy, and G. Thiele, "An iterative method for solving scattering problems," IEEE Trans. Antennas Propagat., Vol. 33, No. 11, 1272-1279, 1985.
doi:10.1109/TAP.1985.1143510        Google Scholar

9. Murthy, P., K. Hill, and G. Thiele, "A hybrid-iterative method for scattering problems," IEEE Trans. Antennas Propagat., Vol. 34, No. 10, 1173-1180, 1986.
doi:10.1109/TAP.1986.1143738        Google Scholar

10. Obelleiro, F., J. Rodriguez, and R. Burkholder, "An iterative physical optics approach for analyzing the electromagnetic scattering by large open-ended cavities," IEEE Trans. Antennas Propagat., Vol. 43, No. 4, 356-361, 1995.
doi:10.1109/8.376032        Google Scholar

11. Burkholder, R., "A fast and rapidly convergent iterative physical optics algorithm for computing the RCS of open-ended cavities," Appl. Computational Electromagn. Soc. J., Vol. 16, No. 1, 53-60, 2001.        Google Scholar

12. Lu, C. and W. Chew, "Fast far-field approximation for calculating the RCS of large objects," Microwave Opt. Tech. Letters, Vol. 8, No. 5, 238-241, 1995.
doi:10.1002/mop.4650080506        Google Scholar

13. Gibson, W., The Method of Moments in Electromagnetics, Chapman & Hall/CRC, Boca Raton, 2008.

14. Kang, G., J. Song, W. Chew, K. Donepudi, and J. Jin, "A novel grid-robust higher order vector basis function for the method of moments," IEEE Trans. Antennas Propagat., Vol. 49, No. 6, 908-915, 2001.
doi:10.1109/8.931148        Google Scholar

15. Burkholder, R. and T. Lundin, "Forward-backward iterative physical optics algorithm for computing the RCS of open-ended cavities," IEEE Trans. Antennas Propagat., Vol. 53, No. 2, 793-799, 2005.
doi:10.1109/TAP.2004.841317        Google Scholar

16., https://www.cst.com/Products/CSTMWS.
doi:10.1109/TAP.2004.841317        Google Scholar

17. Woo, A., H. Wang, M. Schuh, and M. Sanders, "Benchmark radar targets for the validation of computational electromagnetics programs," IEEE Antennas Propagat. Mag., Vol. 35, No. 1, 84-89, 1993.
doi:10.1109/74.210840        Google Scholar