Opt Quant Electron (2016) 48:468

DOI 10.1007/s11082-016-0743-3

Genetic algorithm design for E-plane waveguide filters

Habib Ghorbaninejad1 • Ali Ghajar1

Received: 22 March 2016 / Accepted: 16 September 2016

Springer Science+Business Media New York 2016

Abstract In this paper, a new approach has been proposed to design any arbitrary E-plane filters, including band-pass, and band-stop filters, with a desired frequency response. The proposed method is based on replacing all conventional resonators with a new form of a resonator, which is made of a patterned plane. The patterned plane is a metal plane with infinitesimal thickness that some of its parts, are removed. The introduced patterned plane is supported by a thin and low permittivity dielectric slab, and is located longitudinally in the middle of a rectangular waveguide, parallel to the E-plane. To design the proposed filters, the scattering parameters of the structure should be calculated. For this purpose, a coupled set of electric field integral equations have been derived, and solved by method of moments. Then, a suitable cost function was defined, and optimized using genetic algorithm. MATLAB GA tool has been used to optimize the cost function. The proposed method facilitates and accelerates the optimization process in comparison to full wave simulator software. As examples, both bandpass, and band-stop E-plane filters have been designed. The results show that the proposed filter, in comparison to the conventional filters, has some advantages, such as frequency band selectivity, compactness, and the ability of adjustment to any desired frequency response. The results of designed structures are validated by HFSS simulator software.

Keywords Waveguide filters Electric field integral equations Method of moments Genetic algorithm

1 Introduction

The first kind of E-plane waveguide filter was introduced more than 40 years ago (Konishi and Uenakada 1974). It has used hollow waveguides with length of half-wavelength in center frequency as resonators, and some metal strips as impedance inverters. The

&Ali Ghajar alighajar1990@gmail.com

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