Multilayer dielectric filter design using a multiobjective evolutionary algorithm

Abstract

Design of multilayer dielectric filters involve the identification of suitable dielectric material and appropriate thicknesses of the layers that best satisfies the desired frequency response for the application. Such problems, like any other practical design optimization problem require simultaneous consideration of multiple objectives and constraints. In this paper, we introduce a multiobjective evolutionary algorithm that is capable of handling unconstrained and constrained, single and multiobjective problems without any restriction on the number and nature of variables, constraints and objectives. The algorithm handles constraints and objectives separately using two fitness measures derived out of nondominance, unlike most of its counterparts which use a single fitness measure. Unlike most evolutionary algorithms where only the good parents participate in mating, our algorithm ensures that all solutions participate in mating, which is useful for exploring highly nonlinear search spaces. The diversity of the solutions is controlled by the partner selection scheme that prefers elites with distant neighbors as mating partners. The results of two multiobjective test problems, three multilayer dielectric filter designs (low-pass, bandpass and stopband) and one variable layer low-pass filter design are presented in this paper to highlight the benefits offered by our algorithm in terms of modeling flexibility, computational efficiency and its ability to arrive at competitive nondominated designs. A comparison of our results with those obtained using a single objective aggregated formulation for the stopband filter design is also presented. We have also compared the performance of our algorithm with nondominated sorting genetic algorithm (NSGA-II) for the low-pass filter design where our results are better.Index Terms-Multiobjective optimization, optimization of dielectric filters, stochastic algorithm.

Optimization of Graded Materials for Broadband Radome Wall With DRR Control Using a Hybrid Method

“…Many methods have been proposed to design broadband graded media radome walls. Generally, they can be classified into three types of methods, such as analytical methods [6][7][8][9], hypotheses formulation methods [10,11] and numerical optimization methods [11][12][13].…”

“…But it is difficult to construct a graded material model in these software packages because of the complexity of dielectric constant distribution. In [12], a multi-objective evolutionary algorithm is presented to design multi-layer dielectric filter. When the permittivity of each layer is given, its thickness is optimized at a certain incident angle.…”

“…The convergence speed of stochastic method is low in [12] and the jitter of its optimum result is serious. But it has good global property.…”

Simulation of reflectivity spectrum for non-absorbing multilayer optical thin films

“…Thus, to design the multilayer dielectric thin films and to optimize their coating conditions, a reflectivity spectrum simulation of these optical thin films is an essential tool. Various numerical simulations have been successfully applied in the design and synthesis of multilayer optical thin films with predetermined spectral response [5][6][7].…”

Flat Multylayer Dielectric Reflector Antennas

“…Lots of papers have concentrated on designing and optimizing filters' characteristics for especial applications [1][2][3].…”