New empirical formula of capacitance in general microstrip antenna

This paper presents an approach to create a new empirical capacitance formula that is useful for impedance calculations in a variety of microstrip antenna structures. This formula is the term of fringing field. This approach is based on effort to increase the accuracy of Love's capacitance formula so it approaches the exact capacitance value of the parallel-plate capacitor due to Palmer. In this method, modifying Love's capacitance formula was performed by separating the capacitance into the term of the main field and fringing field. The new empirical capacitance formula consists of two arbitrary constants, formulated by involving Hilberg's elliptic functions. The two arbitrary constants of the capacitance formula were determined by linear regression using experimental data of capacitance obtained from Palmer's capacitance formula. The calculation results of the new empirical formula are more accurate than the existing approximate capacitance formulas.