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Matrix relationships between far-zone patterns and current distributions over the prolate spheroid

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Summary

A matrix relationship is found between the coefficients of the expansion of the far-zone radiation patterns and the coefficients of the expansion of the corresponding current distribution over the prolate spheroid. In particular cases, the matrix becomes diagonal, giving a one-to-one correspondence between the coefficients. The same formulation may be applied in the limiting case for the corresponding problems in a sphere.

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References

  1. Morse, P. M. and H. Feshbach, Methods of Theoretical Physics, McGraw Hill, New York 1953.

    Google Scholar 

  2. Wolff, I., Proc. IRE25 (1937)630.

    Google Scholar 

  3. Schelkunnoff, S. A., Bell Sys. Tech. Jour.22 (1943)80.

    Google Scholar 

  4. Dolph, C. L., Proc. IRE34 (1946)335.

    Google Scholar 

  5. Unz, H., Linear Arrays with Arbitrarily Distributed Elements, University of California, Berkeley, E.R.L. Series No. 60, Issue No. 168 (2 November 1956).

    Google Scholar 

  6. Unz, H., Multi-Dimensional Lattice Arrays with Arbitrarily Distributed Elements, University of California, Berkeley, E.R.L. Series No. 60, Issue No. 172 (19 December 1956).

    Google Scholar 

  7. Unz, H., Trans. IRE, PGAPAP-6 (1958) 182.

    Google Scholar 

  8. Magnus, W. and F. Oberhettinger, Special Functions of Mathematical Physics, Chelsea, New York, 1954.

    Google Scholar 

  9. Stratton, J. A., Electromagnetic Theory, McGraw Hill, New York, 1941.

    Google Scholar 

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Authors and Affiliations

  1. Electrical Engineering Department, University of Kansas, Lawrence, Kansas, USA

    H. Unz

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  1. H. Unz
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Additional information

This paper was written while the author was a Consultant to the Radiation Laboratory, University of Michigan, Ann Arbor, Michigan, during the summer, 1958.

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Unz, H. Matrix relationships between far-zone patterns and current distributions over the prolate spheroid. Appl. Sci. Res. 12, 360–374 (1965). https://doi.org/10.1007/BF00382133

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  • DOI: https://doi.org/10.1007/BF00382133

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