Quasi-Newton Model-Trust Region Approach to Surrogate-Based Optimisation of Planar Metamaterial Structures

Abstract

Abstract-A novel implementation of aggressive space mapping (ASM) for the automatic layout synthesis of planar metamaterial structures is outlined in this article. Specifically, we employ a model-trust region optimisation approach to significantly reduce the computational burden associated with the direct optimisation of highfidelity models. A Visual Basic for application (VBA) link to a commercial full-wave electromagnetic (EM) solver is created, to ensure that the automated Matlab-based platform has complete control of the design and analysis of the entire ASM process. The validity and efficiency of our approach is demonstrated with examples of complementary split-ring resonator (CSRR)-loaded transmission lines, comparing both modified and unmodified version of the quasi-Newton iteration within the ASM framework.

A Multi-Fidelity Based Adaptive Sampling Optimisation Approach for the Rapid Design of Double-Negative Metamaterials

“…Due to the increased complexity of these geometric structures, exacerbated by the increased interest in generating inhomogeneous and anisotropic metamaterials, direct optimisation of these designs using conventional approaches such as Gradient-based [3] and Genetic algorithms [4] are often impractical and limited. This is in part due to the inherently high computational cost associated with running multiple expensive highfidelity (primary) full-wave simulations, commonly required to optimise the constitutive parameters of a single metamaterial particle, and the underlying numerical noise that can adversely affect the simulationdriven optimisation cycle.…”

Synthesis of slow-wave structures based on capacitive-loaded lines through aggressive space mapping (ASM)

“…In this paper, we propose an automated synthesis process for capacitively-loaded slow-wave transmission lines based on space mapping (SM) [7][8][9]. This synthesis technique has been applied to the design of many planar microwave circuits [10][11][12][13][14][15][16][17][18]. Specifically, in this work a variant called aggressive space mapping (ASM) [8] is used.…”