Abstract
We address the multiobjective optimization of a Rotman lens by means of a recently proposed method based on the minimization of a properly defined global cost function named Quantized Lexicographic Weighted Sum (QLWS). More specifically, we have considered three different objectives concurring during the optimal synthesis of the lens. First, the difference between actual and desired delay among the excitations of the array elements fed by the lens needs to be lower than a given threshold. Second, gain losses of the beams scanned by the array fed by the lens need to be lower than a given threshold. Third, lens insertion losses should be as low as possible. Exploitation of the QLWS based approach allowed us to obtain in a few minutes a Rotman lens fulfilling these three concurring objectives and to improve the starting result obtained by a commercial software.
Highlights
The Rotman lens [1] is a planar structure implementing a true delay line beam-forming network (BFN) for linear arrays that are required to radiate different scanned beams within a given angular portion.Due to practical relevance of Rotman lens, synthesis methods are a wide investigation subject
We address the multiobjective optimization of a Rotman lens by means of a recently proposed method based on the minimization of a properly defined global cost function named Quantized Lexicographic Weighted Sum (QLWS)
If one accepts that the delay among the excitations of the array elements fed by the lens is not perfectly linear for all the beams to be scanned, the lens synthesis gets easier
Summary
The Rotman lens [1] is a planar structure implementing a true delay line beam-forming network (BFN) for linear arrays that are required to radiate different scanned beams within a given angular portion. If one accepts that the delay among the excitations of the array elements fed by the lens is not perfectly linear for all the beams to be scanned, the lens synthesis gets easier. In this case, it basically requires the optimal choice of just three specific geometric parameters of the focal arc where the input ports of the lens will be located [1]. We started from the solution provided by a single-objective optimization tool implemented by a commercial software, and through the QLWS-based approach, in a few minutes, we improved it by obtaining a Rotman lens fulfilling all the three considered objectives
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