Resonance frequencies of a symmetrical four-tooth-shaped microstrip antenna

The monopole microstrip antenna with a symmetrical four-tooth-shaped radiator was considered. The dependence of the values of the three highest resonance frequencies on the radiator geometry was analyzed. It was shown that changes in the length and width of the radiator affect differently the values of the resonance frequencies. For example, the depth of the rectangular cutouts on the radiator does not change the third resonance frequency and slightly reduces the values of the second resonance. The effect of other geometric parameters of the antenna on the resonance frequencies was also investigated. An insignificant effect of the width of the feedline, the thickness of the substrate, and the dimensions of the ground plane on the resonance frequencies was shown.
A regression analysis was carried out and mathematical models that describe the relishation of resonance frequencies with radiator parameters were constructed. The regression models for wavelengths corresponding to the resonance frequencies were constructed with less error. For all models, the root-mean-square and absolute errors were calculated. The obtained formulas can be used in designing a multi-band antenna with given resonance frequencies.