A method and apparatus for obtaining dielectric constant and other measurements of a sample, comprising an open cavity resonator; a microwave energy generator for creating a resonating microwave in the open cavity resonator; a predetermined dielectric material having a high dielectric constant in the range of 2 to 100,000 substantially filling the region in which a microwave resonates; the dielectric material adapted to receive a sample for measurement of the dielectric properties of the sample; whereby during operation the resonating microwave beam is substantially immersed in the predetermined dielectric material such that the effective electrical spot size and beam cross-section along the cylindrical axis of the resonating microwave is reduced as a function of the inverse of the square root of the predetermined dielectric material dielectric constant. The dielectric constant or loss tangent of the sample may be determined based upon the change in the cavity's resonant frequency modes.