A Complex Permittivity Measurement Technique for High Dielectric Constant Materials at Microwave Frequency

Abstract

The measurement uncertainty of traditional transmission/reflection method is very poor for high dielectric constant (>100) materials or sample whose thickness was several integer multiples of half wavelength. A modified calculating procedure was presented for measuring the high dielectric constant materials. The method is based on the thickness resonance when electromagnetic wave is transmitting through transmission line filled with the sample. It is convenient for complex permittivity measurement of high dielectric constant materials with transmission/reflection method.

Anisotropy of W-band complex permittivity in Al2O3

“…Using these gated and filtered Sparameters, the complex permittivity was calculated using seven algorithms and their results were compared. These algorithms are; Transmission Epsilon Fast (Tran e Fast) [42], Nicholson-Ross-Weir (NRW) [43], poly nomial Transmission Epsilon (Poly Tran e) [44], polynomial Nicholson-Ross-Weir (Poly NRW) [44], NIST iterative 4parameter (NIST 4parameter) [45], a thickness resonant method [46] and a frequency difference method [47]. The governing equations of these algorithms and details on how they calculate the components of complex permittivity (ε and ε ) from Sparameters are available in literature [42][43][44][45][46][47].…”

“…These algorithms are; Transmission Epsilon Fast (Tran e Fast) [42], Nicholson-Ross-Weir (NRW) [43], poly nomial Transmission Epsilon (Poly Tran e) [44], polynomial Nicholson-Ross-Weir (Poly NRW) [44], NIST iterative 4parameter (NIST 4parameter) [45], a thickness resonant method [46] and a frequency difference method [47]. The governing equations of these algorithms and details on how they calculate the components of complex permittivity (ε and ε ) from Sparameters are available in literature [42][43][44][45][46][47]. As an example, the governing equations for the frequency differ ence method are presented in equations ( 8) and ( 9):…”