Design of Microwave Components using Topology Gradient Optimization

Abstract

In this paper, we used a topology gradient method coupled with a finite element method in order to optimize the shape of a microstrip component. We appended a 2-D distribution ofmetal on the substrate and tried to optimize its form by taking benefits of the topology gradient method. The concept of topology gradient using a numerical method is given in this article, and finally, the results of using this approach in the context ofmicrowave component optimization is shown.

Optimization of microwave devices combining topology gradient and genetic algorithm

“…It means that the optimized result corresponds to a local optimum due to this ill-behavior case study. Several tests on this example have been reported in [10], but in spite of strategy modifications (initial distribution, size of topological elements, weights w i ), the global optimum has never been found in any case. For improving the limitation of topology gradient method, a heuristic method is coupled with TG in the next section to jump out of local optima.…”

“…Topology gradient may suffer of getting stuck in local optima because of its gradient-based operation [10]. The intervention of a stochastic global search concept within TG can generate an efficient method faced with ill-behaved problems without wondering in time-consuming process of random methods.…”

Topology gradient optimization in 2‐D and 3‐D for the design of microwave components

“…In this first case, the technique is applied to optimize the distribution of metal on a surface (2D) [8]. In this second case, the technique is applied to optimize the distribution of dielectric material within a cavity (3D).…”

Advanced Design and Fabrication of Microwave Components Based on Shape Optimization and 3D Ceramic Stereolithography Process

“…TG optimization was originally developed for mechanics design problems, and it has been recently adapted to other types of design problems, such as electrical and electronic devices. The topology gradient and level-set methods coupled with a finite element method for optimizing microwave components have been demonstrated in 2-D (Assadi-Haghi et al, 2006) for optimizing the distribution of metal upon the surface of microstrip components and in 3-D (Khalil et al, 2008(Khalil et al, , 2009(Khalil et al, , 2010 for optimizing the distribution of a dielectric material within waveguide components.…”