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Numerical Approximation of Time Domain Electromagnetic Scattering from a Thin Wire

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Abstract

We present two new stable schemes for computing the current induced on the surface of a thin wire by an incident time-dependent electromagnetic field. The problem involves solving a retarded potential integral equation (RPIE). One algorithm solves the previously studied reduced kernel RPIE problem, and the other solves the more complicated exact kernel RPIE problem (for which there are no previous numerical results). Both algorithms behave stably for arbitrarily chosen values of the mesh size. Test experiments and numerically computed values of the induced current are presented.

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References

  1. R. Bancroft, Understanding Electromagnetic Scattering Using the Moment Method: A Practical Approach (Artech House, 1996).

  2. A.R. Bretones, R.G. Martin and A. Salinas, DOTIG1, a time-domain numerical code for the study or the interaction of electromagnetic pulses with thin-wire structures, COMPEL 8 (1989) 39-61.

    Google Scholar 

  3. P.J. Davies and D.B. Duncan, Time-marching numerical schemes for the electric field integral equation on a straight thin wire, Adv. Comput. Math. 2 (1994) 279-317.

    Google Scholar 

  4. D.S. Jones, Methods in Electromagnetic Wave Propagation, 2nd ed. (Oxford Univ. Press, Oxford, 1995).

    Google Scholar 

  5. R.G. Martin, A. Salinas and A.R. Bretones, Time-domain integral equation methods for transient analysis, IEEE A & P 34 (1992) 15-22.

    Google Scholar 

  6. E.K. Miller and J.A. Landt, Direct time-domain techniques for transient radiation and scattering from wires, Proc. IEEE 68 (1980) 1396-1423.

    Google Scholar 

  7. E.K. Miller, A.J. Poggio and G.J. Burke, An integro-differential equation technique for the time-domain analysis of thin wire structures. I. The numerical method, J. Comput. Phys. 12 (1973) 24-48.

    Google Scholar 

  8. A.J. Poggio, E.K. Miller and G.J. Burke, An integro-differential equation technique for the time-domain analysis of thin-wire structures. II. Numerical results, J. Comput. Phys. 12 (1973) 210-233.

    Google Scholar 

  9. B.P. Rynne, The well-posedness of the integral equations for thin wire antennas, IMA J. Appl. Math. 49 (1992) 35-44.

    Google Scholar 

  10. S.A. Schelkunoff, Advanced Antenna Theory (Wiley, New York, 1952).

    Google Scholar 

  11. A.G. Tijhuis, P. Zhongqui and A.R. Bretones, Transient excitation of a straight thin wire segment: A new look at an old problem, IEEE Trans. Ant. Propag. 40 (1992) 1132-1146.

    Google Scholar 

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Authors and Affiliations

  1. Mathematical Institute, University of Gdańsk, Wit Stwosz str. 57, 80–952, Gdańsk, Poland

    Barbara Zubik-Kowal

  2. Department of Mathematics, University of Strathclyde, 26 Richmond st., Glasgow, G1 1XH, UK

    Penny J. Davies

Authors
  1. Barbara Zubik-Kowal
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  2. Penny J. Davies
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Zubik-Kowal, B., Davies, P.J. Numerical Approximation of Time Domain Electromagnetic Scattering from a Thin Wire. Numerical Algorithms 30, 25–36 (2002). https://doi.org/10.1023/A:1015689722761

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