In this paper, a half mode substrate integrated waveguide (HMSIW) bandpass filter using defected ground structure cells (DGS) is proposed. By using the periodic square CSRR resonant properties of DGS according to design requirement, an X-band band-pass filter is designed and analyzed to meet compact size, low insertion loss, and high rejection. The simulation results obtained by CST in X-band show that the proposed filter is characterized by a large transmitted bandwidth of about 1.38 GHz from 13.03 to 14.41 GHz. The higher simulated insertion loss is about −2.6 dB and the lower return loss is about −34 dB. The proposed filter size is 9.50 × 38.00 mm2 which make it a compact component. The structure is optimized using CST simulator. For the proposal validation, the simulation results is compared by HFSS. The simulation results are in good agreement for the   two simulator.

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This paper demonstrates a novel form of substrate integrated waveguide SIW antenna array based on Fourier Series Equations. An optimized SIW power divider feeds the proposed structure where a micro-strip transition is used for impedance matching at 50 Ohm. The proposed antenna is traveling wave antenna type, in conventional methods the curve of antenna is of a linear or exponential form. In our method, we used the FSE to modify the contour of the antenna. The method is based on optimization of the Fourier series coefficients in order to maximize the gain for φ = π/2 and θ = π/2. The results of the return loss, the field’s distribution, the radiation pattern and the realized gain were analysed. Furthermore, the antenna is designed in HFSS and CST with a comparison between them. The simulated return loss was compared with experimental measurements. The return loss of the proposed 1 × 4 antenna array is less than −10  dB at 5.5–6.8 GHz with an average gain about of 6 dBi and a peak gain about of 7.2 dBi. The proposed 1 × 4 antenna array is optimized with HFSS and designed using FR4 substrate, and considered in C-band for centimeters waves applications.

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