Capacitance Calculation for Planar RF Coils on Substrate Without Ground Plane

Hello,

For the calculation of the capacitance effect of the substrate on the planar RF coils, such as circular spiral rings or split ring resonators, does anyone have an idea how this could be managed without any ground plane?

For example, I have a substrate with thickness h, and on one side of this substrate there is a circular single wire coil with defined width and diameter and wire thickness, but on the other side of the substrate there is nothing, no ground plane or another conductor, how can one account for the capacitance effect of substrate? Is it possible anyway?

Best
Sajad

If I understand the question correctly, you mean you have a silicon substrate attached to a circular single wire coil. That means the total parasitic capacitance becomes that of the real substrate in series with that of the coil, where the relative permittivity of the coil material needs to be known.