A new method for identifying TE<sub>01δ</sub> mode during microwave dielectric measurements of low-loss materials

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Abstract

The metal resonant cavity method working with TE _01δmode is a universal method for evaluating the microwave dielectric properties of low-loss materials. All the microwave dielectric resonators are multi-mode resonators, so the correct identification of TE _01δmode is the basis for the microwave dielectric measurements. The TE _01δmode can be identified by predicting the resonant frequency and its variation with resonator size, expelling the spurious modes according to the exciting conditions, etc., while these methods are relatively complex and sometimes unreliable. In the present work, a simple method for accurately identifying the TE _01δmode is developed. A low-loss reference sample with known dielectric properties is introduced and placed in the cavity for the first step, and the to-be-measured sample is placed on the reference sample for the second step. The rough permittivity of the to-be-measured sample can be calculated from the TE _01δ-mode resonant frequencies in the two steps through the finite element analysis, and is used to predict the resonant frequency for TE _01δmode when only the to-be-measured sample is placed in the cavity. The difference between the predicted and measured TE _01δ-mode resonant frequencies for the to-be-measured sample is less than 1%, so that the TE _01δmode can be easily distinguished from the spurious modes and accurately identified.

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Corresponding author:Li Lei,zjulilei@zju.edu.cn

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类型	编号	直径/mm	厚度/mm	ε_r
参考试样	R1	10.17	1.64	19.3
	R2	10.86	1.48	39.4
	R3	10.75	1.49	77.2
	R4	9.36	1.04	434

待测试样	S1	12.03	6.51	2.79
	S2	9.90	5.10	4.78
	S3	10.00	5.00	9.50
	S4	10.12	4.67	19.4
	S5	10.83	5.44	39.2

DownLoad: CSV

参考试样	待测试样	f_0,1/GHz	f_0,2/GHz	f_0,3/GHz	f_0,4/GHz	f_0,5/GHz
R3	S1	5.224	5.184	15.107	14.988	14.642
R3	S2	5.224	5.160	13.862	13.736	14.958
R3	S3	5.224	5.067	10.216	10.158	10.360
R3	S4	5.224	4.849	7.358	7.298	9.035
R3	S5	5.224	4.217	4.830	4.800	8.376

R1	S2	10.046	9.498	13.807	13.736	14.958
R2	S2	7.215	7.028	13.789	13.736	14.958
R4	S2	2.760	2.752	13.830	13.736	14.958

DownLoad: CSV

Reference	Sample	(f_0,3–f_0,4)/f_{0, 4}	ε_r,rou	ε_r,sam	(ε_r,rou–ε_r,sam)/ε_{r, sam}	tanδ
R3	S1	0.80%	2.73	2.79	–2.2%	1.08 × 10^–4
R3	S2	0.92%	4.68	4.78	–2.1%	2.75 × 10^–4
R3	S3	0.58%	9.38	9.50	–1.3%	2.56 × 10^–5
R3	S4	0.83%	19.1	19.4	–1.5%	7.63 × 10^–5
R3	S5	0.62%	38.7	39.2	–1.3%	1.21 × 10^–4

R1	S2	0.51%	4.72	4.78	–1.2%	2.75 × 10^–4
R2	S2	0.38%	4.74	4.78	–0.8%	2.75 × 10^–4
R4	S2	0.68%	4.70	4.78	–1.8%	2.75 × 10^–4

DownLoad: CSV

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Vol. 69, Issue 12 - 2020-06-20

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