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Solution of Electromagnetic Scattering Problems Involving Three-Dimensional Homogeneous Dielectric Objects by the Single Integral Equation Method

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Abstract

The problem of electromagnetic scattering by a homogeneous dielectric object is usually formulated as a pair of coupled integral equations involving two unknown currents on the surface S of the object. In this paper, however, the problem is formulated as a single integral equation involving one unknown current on S. Unique solution at resonance is obtained by using a combined field integral equation. The single integral equation is solved by the method of moments using a Galerkin test procedure. Numerical results for a dielectric sphere are in good agreement with the exact results. Furthermore, the single integral equation method is shown to have superior convergence speed of iterative solution compared with the coupled integral equations method.

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REFERENCES

  1. Mautz, J. R., and Harrington, R. F. (1978). H-field, E-field and combined-field solutions for conducting bodies of revolution. Archiv Electronik Uebertragungstechnik (AEU), Germany 32, 157–164.

    Google Scholar 

  2. Umashankar, K., Taflove, A., and Rao, S. M. (1986). Electromagnetic scattering by arbitrary shaped three-dimensional homogeneous lossy dielectric objects. IEEE Trans. Antennas Propagat. AP-34, 758–766.

    Google Scholar 

  3. Maystre, D., and Vincent, P. (1972). Diffraction d'une onde electromagnetique plane par un objet cylindrique non infiniment conducteur de section arbitraire. Optics Commun. 5, 327–330.

    Google Scholar 

  4. Maystre, D. (1980). Integral methods. In Electromagnetic Theory of Gratings, Petit, R. (ed.), Springer-Verlag.

  5. Marx, E. (1982). Single integral equation for wave scattering. J. Math. Phys. 23, 1057–1065.

    Google Scholar 

  6. Marx, E. (1984). Integral equation for scattering by a dielectric. IEEE Trans. Antennas Propagat. AP-32, 166–172.

    Google Scholar 

  7. Glisson, A. W. (1984). An integral equation for electromagnetic scattering from homogeneous dielectric bodies. IEEE Trans. Antennas Propagat. AP-32, 173–175.

    Google Scholar 

  8. DeSanto, J. A. (1983). Scattering of scalar waves from a rough interface using a single integral equation. Wave Motion 5, 125–135.

    Google Scholar 

  9. Kleinman, R. E., and Martin, P. A. (1988). On single integral equations for the transmission problem of acoustics. SIAM J. Appl. Math. 48, 307–325.

    Google Scholar 

  10. Swatek, D. R., and Ciric, I. R. (1998). Single integral equation for wave scattering by a layered dielectric cylinder. IEEE Trans. Magnetics 34, 2724–2727.

    Google Scholar 

  11. Mautz, J. R. (1989). A stable integral equation for electromagnetic scattering from homogeneous dielectric bodies. IEEE Trans. Antennas Propagat. 37, 1070–1071.

    Google Scholar 

  12. Yeung, M. S. (1999). Single integral equation for electromagnetic scattering by three-dimensional homogeneous dielectric objects. IEEE Trans. Antennas Propagat. 47, 1615–1622.

    Google Scholar 

  13. Harrington, R. F. (1968). Field Computation by Moment Methods, Macmillan.

  14. Stratton, J. A. (1941). Electromagnetic Theory, Sec. 4.12, McGraw-Hill.

  15. Rao, S. M., Wilton, D. R., and Glisson, A. W. (1982). Electromagnetic scattering by surfaces of arbitrary shape. IEEE Trans. Antennas Propagat. AP-30, 409–418.

    Google Scholar 

  16. Saad, Y., and Schultz, M. H. (1986). GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7, 856–869.

    Google Scholar 

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  1. Department of Manufacturing Engineering, Boston University, 15 St. Mary's Street, Boston, Massachusetts, 02215

    Michael S. Yeung

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  1. Michael S. Yeung
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Yeung, M.S. Solution of Electromagnetic Scattering Problems Involving Three-Dimensional Homogeneous Dielectric Objects by the Single Integral Equation Method. Journal of Scientific Computing 15, 1–17 (2000). https://doi.org/10.1023/A:1007575417396

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