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Radiation pattern of a corrugated conical horn in terms of Laguerre-Gaussian functions

Radiation pattern of a corrugated conical horn in terms of Laguerre-Gaussian functions

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Many papers can be found on radiation properties of corrugated feeds. The radiated field is described either by means of the Kirchhoff-Huyghens formula, or with a spherical mode expansion. In both cases, especially where the horn is long, the computation may be important. In this letter we present a third method founded on a Laguerre-Gaussian expansion in cylindrical coordinates.

References

    1. 1)
      • P.J.B. Clarricoats , P.K. Saha . Propagation and radiation behaviour of corrugated feed, Pt. 1—Corrugated waveguide feed. Proc. IEE , 9 , 1167 - 1176
    2. 2)
      • C. Dragone . An improved antenna for microwave radio systems consisting of two cylindrical reflectors and a corrugated hor'n. Bell Syst. Tech. J. , 1351 - 1377
    3. 3)
      • F. Schwering . On the range of validity of Fresnel—Kirchhoff's approximation formula. IRE Trans. , 99 - 100
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