Infinitesimal Dipole Model Using Space Mapping Optimization for Antenna Placement

The infinitesimal dipole model (IDM) is very appealing for antenna placement problems, especially since antenna design details need not be available. The method has been mainly used to model antennas radiating in free space or above an infinite perfectly conducting ground plane, with synthetic data. The direct application of the method considering finite ground planes is impracticable because of the complexity of the associated Green's functions. In this letter, we propose a methodology to devise the equivalent model, taking into account edge diffraction effects due to the finite ground plane, but still maintaining a relatively low computational cost. We combine the classical IDM with the output space mapping technique so that the burden of model optimization is placed on the analytical model, and the more accurate but computationally intensive model is evaluated only a few times. To demonstrate the applicability of the method, we model a radar altimeter antenna operating at 4.3 GHz in a typical case of antenna integration: Only the measured far-field data are available. The equivalent model obtained is then incorporated into a commercial electromagnetic simulation package to compare its installed radiation pattern with the actual antenna measured pattern. An excellent agreement is verified.

[1]  T. Dhaene,et al.  Variable-Fidelity Electromagnetic Simulations and Co-Kriging for Accurate Modeling of Antennas , 2013, IEEE Transactions on Antennas and Propagation.

[2]  A. Kishk,et al.  Theory and Applications of Infinitesimal Dipole Models for Computational Electromagnetics , 2007, IEEE Transactions on Antennas and Propagation.

[3]  Y. M. M. Antar,et al.  Near-Field Analysis of Electromagnetic Interactions in Antenna Arrays Through Equivalent Dipole Models , 2012, IEEE Transactions on Antennas and Propagation.

[4]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[5]  J.W. Bandler,et al.  Space mapping: the state of the art , 2004, IEEE Transactions on Microwave Theory and Techniques.

[6]  Stephen P. Boyd,et al.  Antenna array pattern synthesis via convex optimization , 1997, IEEE Trans. Signal Process..

[7]  I. A. Baratta,et al.  Installed Performance Assessment of Blade Antenna by means of the Infinitesimal Dipole Model , 2016, IEEE Latin America Transactions.

[8]  Si-Ping Gao,et al.  Installed Radiation Pattern of Patch Antennas: Prediction based on a novel equivalent model. , 2015, IEEE Antennas and Propagation Magazine.

[9]  P. Rocca,et al.  Differential Evolution as Applied to Electromagnetics , 2011, IEEE Antennas and Propagation Magazine.

[10]  Alexandre Piche,et al.  Prediction of conformal antenna coupling on aircraft , 2014, 2014 International Symposium on Electromagnetic Compatibility.

[11]  Jiang Zhu,et al.  Antenna Optimization Through Space Mapping , 2007, IEEE Transactions on Antennas and Propagation.

[12]  Achim Dreher,et al.  Performance of microstrip antenna arrays installed on aircraft , 2013 .

[13]  John W. Bandler,et al.  Space mapping technique for electromagnetic optimization , 1994 .

[14]  Thereza M. Macnamara Introduction to Antenna Placement and Installation , 2010 .

[15]  Ahmed A. Kishk,et al.  ANTENNA MODELING BY INFINITESIMAL DIPOLES USING GENETIC ALGORITHMS , 2005 .