Skip to main content
SpringerLink
Log in

A unified formulation for Chebyshev and Legendre superdirective endfire array design

Eine einheitliche Formulierung zum Design von Supergain-Längsstrahlern mit Tschebyscheff- und Legendre-Polynomen

  • Published:
Electrical Engineering Aims and scope Submit manuscript

Contents

A unified formulation for superdirective end-fire arrays by using Chebyshev and Legendre Polynomials and their maximum directivities as well as the corresponding efficiency index and theQ factor are found. Several examples show the simplicity of the formulation.

Übersicht

Es wird eine einheitliche Formulierung für Supergain-Längsstrahler mit Tschebyscheff- und Legendre-Polynomen vorgestellt. Die Strahlergruppen werden für unterschiedliche Kombinationen dieser Polynome angegeben, ebenso ihre optimalen Richtgewinne wie auch der dazugehörige Strahlungs- Wirkungsgrad in der Hauptrichtung und der GütefaktorQ. Einige Beispiele belegen die Einfachheit der Formulierung.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Dolph, C. L.: A current distribution for broadside arrays which optimizes the relationship between beamwidth and sidelobe level. Proc. IRE 34 (1946) 335–348

    Google Scholar 

  2. Riblet, H. J.: Discussion on the current distribution for broadside arrays which optimizes the relationship between beamwidth and sidelobe level. Proc. IRE 35 (1947) 489–492

    Google Scholar 

  3. Elliott, R. S.: Antenna Theory and Design. Prentice Hall, Englewood Cliffs, N. J. 1981

    Google Scholar 

  4. Lo, Y. T.;Lee, S. W.: Antenna Handbook-Theory, Applications and Design Chap. 11, Van Nostrand Reinhold Co., N. Y., 1988

    Google Scholar 

  5. Dawoud, M. M.;Hassan, M. A.: Design of Superdirective Endfire Antenna Arrays. IEEE Trans. on Antennas and Propag., 37 (1989) 796–800

    Google Scholar 

  6. Chryssomallis, M.;Sahalos, J. N.: A synoptic study of different Superdirective Endfire Array Concepts. Archiv für Electrotechnik 76, (1993) 469–476

    Google Scholar 

  7. Abramowitz, M. Stegun, I. A.: Handbook of Mathematical Functions New York; Dover, 1972

    Google Scholar 

  8. Milligan, T.: Modern Antenna Design. McGraw-Hill, 1985

  9. Taylor, T. T.: Design of line-source antennas for narrow beamwidth and low side lobes. IRE Trans. Antennas and Propag: AP-3 (1955) 16–28

    Google Scholar 

  10. Harrington, R. F.: Effect of antenna size on gain, bandwidth and efficiency. Res. Natl. Bur. Stand. (US) 64D (1960) 1–12

    Google Scholar 

  11. Cheng, D. K.: Optimization techniques for antenna arrays. Proc. IEEE 59 (1971) 1664–1674

    Google Scholar 

  12. Gradshteyn, I. S.;Ryzhik, I. M.: Table of Integrals, Series and Products. Academic Press, New York, 1965

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Physics, University of Thessaloniki, 54006, Thessaloniki, Greece

    G. Miaris, E. Vafiadis & J. N. Sahalos

  2. Dept. of Electrical Engineering, Democritus University of Thrace, 67100, Xanthi, Greece

    M. Chryssomallis

Authors
  1. G. Miaris
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Chryssomallis
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. Vafiadis
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. J. N. Sahalos
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Miaris, G., Chryssomallis, M., Vafiadis, E. et al. A unified formulation for Chebyshev and Legendre superdirective endfire array design. Electrical Engineering 78, 271–280 (1995). https://doi.org/10.1007/BF01240234

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01240234

Keywords

Search

Navigation