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Multiple Solutions Starting from Real Shaped Beams in Equispaced Linear Arrays.

Aarón Ángel Salas-Sánchez^1,2, Camilo López-Castro², Paolo Rocca¹

¹ELEDIA@UniTN, Department of Information Engineering and Computer Science (DISI), University of Trento, 38122 Trento, Italy.

Sensors (Basel, Switzerland)

|December 30, 2020

Summary

This study explores multiple solutions for antenna array design, analyzing their performance and error tolerance. It introduces techniques for efficient linear and planar arrays, crucial for space vehicle applications.

Keywords:

bandwidth circular footprints elliptical footprints equispaced linear arrays far field patterns multiplicity of solutions shaped-beam patterns tolerance analysis

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Area of Science:

Electromagnetics and Antenna Theory
Array Signal Processing

Background:

Antenna array synthesis often relies on real symmetric distributions for pure real patterns.
Exploring alternative solutions is necessary for advanced antenna design.
Understanding the trade-offs of different solutions is critical for practical applications.

Purpose of the Study:

To derive the theoretical basis for multiple solutions in antenna array synthesis.
To analyze the bandwidth and error tolerance of these multiple solutions.
To extend these techniques for efficient linear and planar array design.

Main Methods:

Derivation of theoretical basis for multiplicity of solutions.
Analysis of bandwidth performance and error tolerance considering various architectures, mutual coupling, and element factor expressions.
Development of a technique for efficient linear arrays using resonant structures.
Generalization of the Baklanov transformation for planar arrays using collapsed distribution techniques.

Main Results:

Identified multiple non-real symmetric solutions for antenna array design.
Analyzed performance trade-offs including bandwidth and error tolerance.
Demonstrated efficient linear arrays with flat-top beam patterns.
Extended techniques to planar arrays for circular and elliptical footprints with controlled sidelobe levels (SLL) and ripple.

Conclusions:

Multiple solutions offer diverse performance characteristics for antenna array design.
Resonant structures and generalized transformations enable efficient linear and planar array designs.
The developed methods are highly relevant for space vehicle applications requiring controlled radiation patterns.