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A reciprocity theorem for the electromagnetic field scattered by an obstacle

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Applied Scientific Research, Section B

Summary

When a time-harmonic plane electromagnetic wave is incident upon a scattering obstacle of finite dimensions, the far-zone scattered field satisfies a reciprocity relation. This reciprocity relation is derived with the aid of H. A. Lorentz’s theorem. The result is valid under rather general assumptions as far as the electromagnetic properties of the obstacle are concerned. As a special case, the result for a perfectly conducting obstacle is obtained.

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References

  1. Stevenson, A. F., Quart. Appl. Math.5 (1948) 369.

    MATH  MathSciNet  Google Scholar 

  2. King, R. W. P., Electromagnetic Engineering, Vol. I, McGraw-Hill Book Company, Inc., New York, 1945; p. 311.

    Google Scholar 

  3. Montgomery, C. G. et al., Principles of Microwave Circuits, M. I. T. Radiation Laboratory Series, Vol. 8, McGraw-Hill Book Company, Inc., New York, 1948; p. 141.

    Google Scholar 

  4. Fliigge, S., Handbuch der Physik, Bd. 16, Elektrische Felder und Wellen, Springer, Berlin, 1958. Article by F. E. Borgnis and C. H. Papas; p. 399.

    Google Scholar 

  5. Lorentz, H. A., Versl. Kon. Akad. Wetensch. Amsterdam4 (1895) 176.

    Google Scholar 

  6. Levine, H. and J. Schwinger, Comm. Pure Appl. Math.3 (1950) 355.

    Article  MathSciNet  Google Scholar 

  7. Storer, J. E. and J. Sevick, J. Appl. Phys.25 (1954) 369.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. Saxon, D. S., Phys. Rev.100 (1955) 1771.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. Wilcox, C. H., Comm. Pure Appl. Math.9 (1956) 115.

    Article  MATH  MathSciNet  Google Scholar 

  10. Hoop, A. T. de, Appl. sci. Res.B 7 (1959) 463.

    Article  MathSciNet  Google Scholar 

  11. Stevenson, A. F., Ref.1), Appendix.

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Authors and Affiliations

  1. Laboratorium voor Theoretische Elektrotechniek en Elektromagnetische Straling, Technische Hogeschool, Delft, Netherlands

    A. T. de Hoop

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  1. A. T. de Hoop
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de Hoop, A.T. A reciprocity theorem for the electromagnetic field scattered by an obstacle. Appl. sci. Res. 8, 135–140 (1960). https://doi.org/10.1007/BF02920050

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  • DOI: https://doi.org/10.1007/BF02920050

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