Study of the behavior of cross-talk in Hilbert KID array using Sonnet software

The study presented in this article, aims at ameliorating the photonic detection for the NIKA (New IRAM KID Array) camera. It mainly consists in simulating this array of superconducting resonators, also called Hilbert KID (Kinetic Inductance Detector), using the Sonnet software, understanding the nature of the cross-talk between these resonators and optimizing the design of this kind of superconductor array. Such a study highlights the effect of the ground plane on the resonance characteristics of the Hilbert-KID array. It also allows getting the best distance between neighboring resonators, which makes the cross-talk negligible. Thanks to this study, an improved configuration of our KID array is found, where the cross-talk is significantly reduced. This result is obtained by optimizing the shape of the ground plane that separates the resonators from each other.