Geometric Method for Determining the Phase Shift in the Reflection of an Electromagnetic Wave from a Conformal Meta-Surface of a Sensing Element

The current stage of studies of high-impedance conformal surfaces on metamaterials (meta-surfaces) and the development of multifunction measurement devices based on them make the problem of determining the parameters and characteristics of meta-surfaces timely. A geometrical method of determining the phase shift has been developed and proposed for in-phase reflection of an electromagnetic wave from the conformal meta-surface of a sensitive element. It is shown that as a result of meta-surface bending, the incident electromagnetic wave passes along an additional path for a defined electrical length, which results in increasing the phase shift of the reflected wave. Using the CST Studio Suite numerical modeling program, the values of the phase shift of incident and reflected waves were obtained for planar and bent meta-surfaces of sensitive elements of various topology with radii of curvature 40, 50, and 60 mm. The obtained results were compared with analytical calculations, and good correspondence was demonstrated. The proposed method can be applied for calculation and modeling measurement transducers that contain sensitive elements on high-impedance conformal meta-surfaces.