Mathematical analysis for resonant frequencies of a novel 3-element log periodic patch array

This composition elucidates a mathematical investigation of a novel printed log periodic array where the number of elements is 3 and each element has a matchless shape which is designed by doing some perturbation with the conventional circular patch. The proposed array of 3 elements are designed on a substrate having dimension 80 × 80 × 1.6 mm with widely available dielectric FR4 Epoxy and the ground plane is having same length and width as that of the substrate and it has a thickness of 0.01 mm. The S 11 (S 11 < −10 dB) vs Frequency plot has been considered as the prominent plot as to get the resonant frequencies. The simulation as well as the measurement results provide a clear observation that the projected antenna has a broadband characteristic between 12 and 18 GHz which includes 5G frequency and different applications associated with Ku Band. Then the theoretical approach for finding resonant frequency is matched with the measured and simulated values and the end results deliver a perfect agreement between the theoretical and practical approach. The perturbed shape resembles the shape of biconvex structure so the overall design can be treated as the LPA with biconvex patches.