Estimation of reflection phase due to a pair of Jerusalem Cross elements using an equivalent circuit model

This paper proposes a methodology to estimate the reflection phase due to a pair of Jerusalem Cross (JC) elements using an equivalent circuit model. Importantly, the mutual coupling between the elements is taken into account by using a novel approach. The broad picture is as follows: the individual element's reflection phase is determined using the circuit model. Then, the coupling between the two adjacently placed JCs is estimated by considering their mutual inductance. The reflection phases of the two elements are updated using the estimated mutual coupling factor. The updated reflection phase thus obtained is validated with simulation. The study is undertaken for three different separation distances.