Characterization of MgTiO₃–CaTiO₃‐Layered Microwave Dielectric Resonators with TE_01δ Mode

Abstract

MgTiO 3 and CaTiO 3 ceramics were stacked in different schemes as the key components of the microwave dielectric resonators, and the microwave dielectric characteristics were evaluated with TE 01d resonant mode. With increasing thickness fraction of CaTiO 3 , the resonant frequency and Q Â f value decreased, while the effective dielectric constant and temperature coefficient of resonant frequency increased. The microwave dielectric characteristics were also affected by the stacking scheme. These effects were analyzed by the finite-element method, and the predicted characteristics agreed well with the experimental results. It was indicated that the temperature-stable resonators with high-Q Â f values could be attained by changing the thickness fractions of CaTiO 3 , and the corresponding microwave dielectric characteristics could also be predicted by the finite-element method. I. Introduction III. Finite-Element AnalysisThe axis symmetry exists for TE 01d mode and the electric field has only a rotational component E y that is also axis symmetri-557 J ournal

Extrinsic Microwave Dielectric Properties of Layered Ceramics

“…MgTiO 3 and CaTiO 3 are adopted as the end-members of the layered ceramics for prediction because of their quite different microwave dielectric properties listed as following: ε r = 17.17, Qf = 92,000 GHz, τ f = −50.0 ppm/ • C for MgTiO 3 and ε r = 174.3, Qf = 11,260 GHz, τ f = 804.1 ppm/ • C for CaTiO 3 [12,14]. The thickness and radius of the layered ceramics for discussion on the effects of the stacking scheme, resonant mode and layer number are T = T 0 = 5 mm and R = R 0 = 5 mm, respectively.…”

“…Furthermore, the Qf value and temperature coefficient of resonant frequency can be calculated by combining the contribution of each component [6]. More detailed analyzing process has been reported in the previous work [11][12][13][14][15][16].…”

“…While, as shown in this paper, the microwave dielectric properties of the layered ceramics are extrinsic and strongly dependent on the stacking scheme, resonant mode and sample size as well as the volume ratio of the end-members. Our previous work has proven that the finite element analysis can accurately predict the microwave dielectric properties of the layered ceramics [11][12][13][14][15], so the effects of the above factors are discussed theoretically by finite element analysis in this paper. Furthermore, the dependence of the microwave dielectric properties of the layered ceramics on the layer number is an interesting issue and will also be discussed in this paper.…”

Effects of Stacking Scheme on Microwave Dielectric Characteristics of Ca(Mg1/3Nb2/3)O3–Ba(Zn1/3Nb2/3)O3 Layered Dielectric Resonators

“…Although much work has been carried out on layered dielectric resonators, many problems have not been understood deeply yet. So in our previous work, the effects of volume ratio, stacking scheme, and resonant mode on the microwave dielectric characteristics of MgTiO 3 –CaTiO 3 layered resonators were investigated, whose end members had quite different properties so that the effects could be observed clearly 9,10 . Finite element analysis was also used for accurately predicting the microwave dielectric characteristics of the layered resonators 9,10 .…”

“…So in our previous work, the effects of volume ratio, stacking scheme, and resonant mode on the microwave dielectric characteristics of MgTiO 3 –CaTiO 3 layered resonators were investigated, whose end members had quite different properties so that the effects could be observed clearly 9,10 . Finite element analysis was also used for accurately predicting the microwave dielectric characteristics of the layered resonators 9,10 . How to design a temperature‐stable layered resonator is another important issue, although attempts to obtain temperature‐stable MgTiO 3 –CaTiO 3 layered resonators failed as the CaTiO 3 layers should be so thin that the samples were difficult to prepare.…”