System and method for identification of complex permittivity of transmission line dielectric

A method of identifying complex permittivity of transmission line dielectric by executing computer-executable instructions stored on a nontransitory computer-readable medium, the method comprises the steps of:

• a) obtaining measured scattering parameters (S-parameters) for at least two transmission line segments of different length and substantially identical cross-section filled with the investigated dielectric;
• b) determining non-reflective, generalized modal scattering parameters of the said transmission line segment difference based on the measured S-parameters of two transmission line segments;
• c) computing generalized modal scattering parameters of the line difference segment by solving Maxwell's equations for geometry of the line cross-section with a given frequency-dependent complex permittivity dielectric model;
• wherein for the said generalized s-parameter model uses a given frequency-dependent complex permittivity dielectric model;
• and
• d) matching computed and measured generalized modal scattering parameters by changing model type and parameters.

A method of identifying complex permittivity of transmission line dielectric by executing computer-executable instructions stored on a nontransitory computer-readable medium, the method comprises the steps of:

• a) measuring scattering parameters (S-parameters) for at least two transmission line segments of different length and substantially identical cross-section filled with the investigated dielectric;
• b) determining non-reflective, generalized modal scattering parameters of the said transmission line segment difference based on the measured S-parameters of two transmission line segments;
• and
• c) computing generalized modal scattering parameters of the line difference segment by solving Maxwell's equations for geometry of the line cross-section with a given frequency-dependent complex permittivity dielectric model;
• wherein for the said generalized s-parameter model uses a given frequency-dependent complex permittivity dielectric model and guess values of the model parameters, and
• wherein the geometry of the cross-section and conductor parameters including bulk resistivity and roughness must be known and both segments are equipped with either coaxial connectors or conductive probe pads to measure S-parameters over a given frequency range;
• and wherein the said transmission line segments may be one or multi-conductor strip or micro-strip line, coplanar waveguide or any other line type.