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Curvilinear Fresnel-Zone Plate Lens Antenna: Vector Radiation Theory

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Abstract

A generalized vector diffraction theory of the half-open curvilinear Fresnel zone plate (FZP) tens antenna that is valid for any lens profile shape is presented. It is an extension to the vector Kirchhoff diffraction theory for the plane half-open FZP lens antenna and is based on the conical-segment lens profile approximation. An equation for the electric far-field vector is derived from which follow the expressions for the co- and cross-polarization radiation patterns and directive gain. The proposed theory is utilized for a numerical analysis and comparison of 140-GHz curvilinear half-open FZP lens antennas grouped in two distinct sets:

  1. (a)

    Set I: antennas with different in shape FZP lenses (plane, conical, parabolic and spherical) having the same number of zones. All eurvilinear FZP antenna lenses are designed for similar gain, co- and cross-polarization performance and bandwidth, regardless of the lens-profile.

  2. (b)

    Set II: antennas with different in shape FZP lenses and different number of zones. Since this affects gain, polarization and bandwidth performance, to make the characteristics of these FZP lens antennas practically equal to those of Set I, antenna feeds with different gain patterns have been used.

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References

  1. [1] D.N. Black, and J.C. Wiltse, “Millimeter-wave characteristics of phase-correcting Fresnel zone plates”, IEEE Trans. on Microwave Theory and Techn., 35, 1122–1129 (1987)

    ADS  Google Scholar 

  2. [2] I.V. Minin and O.V. Minin, “Diffractional Quasi-Optics”, Moscow: NPO Inform TEI, 1992 (in Russian)

    Google Scholar 

  3. [3] H.D. Hristov, “Fresnel Zones in Wireless Links, Zone Plate Lenses and Antennas”, Boston-London: Artech House, 2000

    Google Scholar 

  4. [4] Y.J. Guo, and S.K. Burton, “Fresnel Zone Antennas”, Kluwer Academic Publishing, 2002

    Google Scholar 

  5. [5] I.V. Minin, and O.V. Minin, “Diffractional Optics of Millimeter Waves”, Bristol: IOP Publishing, 2004

    Google Scholar 

  6. [6] K.K. Dey, and P. Khastgir, “A theoretical study of the axial field amplitude of microwave paraboloidal, spherical and plane zone plate antennas”, J. Instn. Electronics & Telecom. Engrs., 19 (1), 47–50 (1973)

    Google Scholar 

  7. [7] K.K. Dey, and P. Khastgir, “A study of the characteristics of a microwave spherical zone plate antenna”, Int. J. Electronics, 35 (1), 97–103, (1973)

    Google Scholar 

  8. [8] L. Leiten and M.H.A.J. Herben, “Vector far-field of the Fresnel-zone plate antenna”, Microwave and Opt. Techn. Letts, 5 (2), 49–56 (1992)

    ADS  Google Scholar 

  9. [9] H.D. Hristov, L.P. Kamburov, R. Feick, and J.R. Urumov, “Focusing characteristics of curvilinear half-open Fresnel zone plate lenses: plane wave illumination”, IEEE Trans. on Antennas and Propag., 53 (6), 1912–1919 (2005)

    Article  ADS  Google Scholar 

  10. [10] C. Balanis, “Antenna Theory”, 2nd ed., John Wiley, 1997

    Google Scholar 

  11. [11] J.D. Jackson, “Classical Electrodynamics”, (2nd ed.), NY: John Wiley & Sons, 1975

    MATH  Google Scholar 

  12. [12] A.C. Ludwig, “The definition of crosspolarization”, IEEE Trans. Antennas & Propagat., 21 (1), 116–119 (1973)

    MathSciNet  ADS  Google Scholar 

  13. [13] F. Sobel, F. L. Wentworth, and J.C. Wiltse, “Quasi-optical surface waveguide and other components for the 100-to 300-Gc region”, IRE Trans. Microwave Theory Techn., 9, 1961, 512–518 (1961)

    Google Scholar 

  14. [14] L.C.J. Baggen, and M.H.A.J. Herbert, “Calculating the radiation pattern of a Fresnel zone plate antenna: A comparison between UTD/GTD and PO, Electromagnetics, 15, 1995, 321–345 (1995)

    Google Scholar 

  15. [15] J. Sluijter, M.H.A.J. Herbert and O.J.G. Vullers, “Experimental validation of PO/UTD applied to Fresnel zone plate antennas”, Microwave Opt.Techn. Leas, 9 (2), 111–113 (1995)

    Google Scholar 

  16. [16] L.P. Kamburov, H.D. Hristov, and R. Feick, “Optimum design of millimeter-wave double-dielectric Fresnel zone-plate lenses”, Int. J. Infrared and Millimeter Waves, 25 (2), 301–316 (2004)

    ADS  Google Scholar 

  17. [17] I.N. Bronshtein, K.A. Semendyayev, K.A. Musiol and G. Muehlig, Handbook of Mathematics, 4th Ed., Springer, 2004

    MATH  Google Scholar 

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Kamburov, L., Hristov, H., Urumov, J. et al. Curvilinear Fresnel-Zone Plate Lens Antenna: Vector Radiation Theory. Int J Infrared Milli Waves 26, 1593–1611 (2005). https://doi.org/10.1007/s10762-005-0034-8

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  • DOI: https://doi.org/10.1007/s10762-005-0034-8

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