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Computation of the dielectric rod waveguide radiation modes

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Abstract

The continuous mode spectrum of a dielectric rod waveguide is analysed in detail. The validity of the orthogonality relations is proved explicitly and the related normalization factors are computed and presented. The results are compared with existent literature and some discrepancies are noted. A full wave approach is pursued without making use of the “weak guidance” approximantion.

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References

  1. N. Marcuvitz, “Guided wave concept in electromagnetic theory,” Microwave Res. Inst. Polytechnic Inst. of Brooklyn, N.Y., Res. Rep. R-269-52, PIB-208, 1952.

    Google Scholar 

  2. G.M. Angulo, “Diffraction of surface waves by a semiinfinite dielectric slab”, IRE Trans Antennas and Propog., vol. AP-S, pp. 100–109, Jan 1957.

  3. T.E. Rozzi and G'Int Veld, “Variational treatment of the diffraction at the faced of d.h. lasers and dielectric millimeter wave antennas, IEEE Trans. Micr. Theory Tech., vol. MTT-29, pp. 107–114, 1981.

    Google Scholar 

  4. P. Gelin, M. Petenzi and J. Citerne, “Rigorous analysis of the scattering of surface waves in an abruptly ended slab dielectric waveguide”, IEEE Trans. Microwave Theory and Tech., vol. MTT-29, pp. 107–114, 1981.

    Google Scholar 

  5. C.N. Capsalis, J.G. Fikioris and N.K. Uzunoglu, “Scattering from an abruptly terminated dielectricslab waveguide”, Jour. of Lightwave Technology, vol. LT-3, No 2, April 1985.

  6. A.W. Snyder, “Continous Mode Spectrum of a Circular Dielectric Rod,” IEEE Trans. on Microwave Theory and Techniques, vol. MTT-19, pp. 720–727, 1971.

    Google Scholar 

  7. J.R. Wait, “Scattering of a plane wave from a circular dielectric cylinder at oblique incidence”, Can. Jour. Phys., vol. 33, pp. 189–195, 1955.

    Google Scholar 

  8. V.V. Shevchenko, “On the compleneness of spectral expansion of the electromagnetic field in the set of dielectric circular rod waveguide eigen waves”, Radio Science, vol. 17, pp. 229–231, 1982.

    Google Scholar 

  9. V.V. Shevchenko, “On spectral expansion in the set of eigen functions of one nonself-adjoint Sturm-Liouville problem on overall axis, Diff. Equation, vol. 15, pp. 2004–2020 (translated from Russian by Consultants Bureau, Washington D.C), 1979.

  10. A.B. Manenkov, “Propagation of a surface wave along a dielectric waveguide with an abrupt change of parameters I. Solution by the factoring method”, Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, vol. 28, pp. 743–752, 1985.

    Google Scholar 

  11. A.B. Manenkov, “Propagation of a surface wave along a dielectric waveguide with an abrupt change in parameters II. Solution by a variational method”, Izvestiya Kysshikh Uchebnykh Zavedenii, Radiofizika, vol. 25, pp. 1484–1490, 1982.

    Google Scholar 

  12. A.D. Yaghjian and E.T. Kornhauser, “A Model Analysis, of the Dielectric Rod Antenna Excited by the HE11 Mode”, IEEE Trans. on Antennas and Propagation, vol. AP-20, pp. 122–128, 1972.

    Google Scholar 

  13. D.G. Kiely, Dielectric Aerials, Methuen, London, 1953.

    Google Scholar 

  14. N. Marcuvitz (Edited), Waveguide Handbook, Dover, New York, 1965.

    Google Scholar 

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Tigelis, I., Capsalis, C.N. & Uzunoglu, N.K. Computation of the dielectric rod waveguide radiation modes. Int J Infrared Milli Waves 8, 1053–1068 (1987). https://doi.org/10.1007/BF01010811

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