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Design of different planar geometries of antenna arrays for isoflux radiation in GEO satellites

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Abstract

The synthesis of different planar geometries of antenna arrays for isoflux radiation is presented in this paper. This synthesis considers the reduction of the side lobe level and the isoflux radiation requirements for Geostationary Earth Orbit satellites. The behavior of the radiation is studied in three geometries of two-dimensional antenna arrays such as uniform planar arrays, aperiodic planar arrays (APA) and concentric ring arrays (CRA). The well-known methods of genetic algorithm and particle swarm optimization are utilized for the optimization problem. In this way, the designs of APA and CRA presented in this paper could provide an acceptable solution for reducing the antenna hardware and simplifying the power feeding even more than results presented previously in the literature.

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Author information

Authors and Affiliations

  1. Unidad Académica Multidisciplinaria Reynosa-Rodhe, Universidad Autónoma de Tamaulipas (UAT) Carretera Reynosa-San Fernando, 88779, Reynosa, TAMPS, Mexico

    Alberto Reyna & Aldo L. Méndez

  2. CICESE Research Center, Electronics and Telecommunications Department, Carretera Ensenada-Tijuana No. 3918, Zona Playitas, 22860, Ensenada, BC, Mexico

    Marco A. Panduro

  3. Universidad Pública de Navarra, Campus Arrosadia, 31006, Pamplona, Spain

    Carlos del Rio-Bocio

Authors
  1. Alberto Reyna
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  2. Marco A. Panduro
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  3. Carlos del Rio-Bocio
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  4. Aldo L. Méndez
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Corresponding author

Correspondence to Marco A. Panduro.

Appendix

Appendix

Since the Fig. 1, trigonometric math functions are defined as:

$$\begin{aligned} \sin \theta= & {} \frac{y^{\prime }}{R_s \left( \theta \right) }\nonumber \\ R_s \left( \theta \right)= & {} \frac{y^{\prime }}{\sin \theta } \end{aligned}$$
(6.1)
$$\begin{aligned} \cos \theta= & {} \frac{\left( {h+a} \right) -x^{\prime }}{R_s \left( \theta \right) }\nonumber \\ x^{\prime }= & {} \left( {h+a} \right) -R_s \left( \theta \right) .\cos \theta \end{aligned}$$
(6.2)

Besides, consider the canonical implicit equation of an ellipse as follows:

$$\begin{aligned} \frac{x^{\prime 2}}{a^{2}}+\frac{y^{\prime 2}}{b^{2}}= & {} 1\nonumber \\ y^{\prime }= & {} b\sqrt{1-\frac{x^{\prime 2}}{a^{2}}} \end{aligned}$$
(6.3)

Then, the math calculation for the prescribed radiation pattern \(R_{s}(\theta )\) is obtained by substituting Eqs. (2) and (3) in (1).

$$\begin{aligned}&R_s^2 \left( \theta \right) \left( {\frac{\sin ^{2}\theta }{b^{2}}+\frac{\cos ^{2}\theta }{a^{2}}} \right) +R_s \left( \theta \right) \left( {\frac{-2\left( {h+a} \right) \cos \theta }{a^{2}}} \right) \nonumber \\&\quad +\,\left( {\frac{\left( {h+a} \right) ^{2}}{a^{2}}-1} \right) =0 \end{aligned}$$
(6.4)

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Reyna, A., Panduro, M.A., del Rio-Bocio, C. et al. Design of different planar geometries of antenna arrays for isoflux radiation in GEO satellites. Telecommun Syst 65, 269–279 (2017). https://doi.org/10.1007/s11235-016-0227-6

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  • DOI: https://doi.org/10.1007/s11235-016-0227-6

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