Dielectric sleeve resonator techniques for microwave complex permittivity evaluation

Closed-form analytical solutions are derived for accurate microwave dielectric characterization of rod test specimens inserted into dielectric sleeve resonators placed centrally in a metal cavity. Low-loss sleeve resonators can be used advantageously for multiple frequency measurements of the same specimen and may be employed for accurate dielectric characterization of high-permittivity specimens having dielectric loss factors greater than 0.001. Uncertainty relations for permittivity and dielectric loss are also shown, which demonstrate that when sample electric energy filling factors are greater than 0.4, relative uncertainties in measured permittivity and dielectric loss tangent are less than 1% and 4%, even for relative permittivities greater than 600. Example measurements are given that illustrate how this dielectric resonator system can be employed for dielectric characterization of ferroelectric materials at temperatures both near or far from their Curie temperatures.

[1]  Y. Kobayashi,et al.  Influence of Conductor Shields on the Q-Factors of a Te/sub 0/ Dielectric Resonator , 1985, 1985 IEEE MTT-S International Microwave Symposium Digest.

[2]  W. E. Courtney,et al.  Analysis and Evaluation of a Method of Measuring the Complex Permittivity and Permeability Microwave Insulators , 1970 .

[3]  Richard G. Geyer,et al.  The NIST 60-Millimeter Diameter Cylindrical Cavity Resonator: Performance Evaluation for Permittivity Measurements , 1993 .

[4]  Yoshio Kobayashi,et al.  Resonant modes for a shielded dielectric rod resonator , 1981 .

[5]  B. W. Hakki,et al.  A Dielectric Resonator Method of Measuring Inductive Capacities in the Millimeter Range , 1960 .

[6]  Yoshio Kobayashi,et al.  Design Charts for Shielded Dielectric Rod and Ring Resonators , 1986, 1986 IEEE MTT-S International Microwave Symposium Digest.

[7]  Dominique Cros,et al.  Study of whispering gallery modes in anisotropic single-crystal dielectric resonators , 1994 .

[8]  K. A. Zaki,et al.  Dielectric ring resonators loaded in waveguide and on substrate , 1991 .

[9]  M. Minegishi,et al.  Precise Design of a Bandpass Filter Using High-Q Dielectric Ring Resonators , 1987 .

[10]  Y. Kobayashi,et al.  Resonant modes in shielded uniaxial-anisotropic dielectric rod resonators , 1993 .

[11]  Michael E. Tobar,et al.  Resonant frequencies of higher order modes in cylindrical anisotropic dielectric resonators , 1991 .

[12]  Jerzy Krupka,et al.  Microwave dielectric properties of anisotropic materials at cryogenic temperatures , 1995 .

[13]  P. Guillon,et al.  Dielectric resonators , 1988, Proceedings of the 42nd Annual Frequency Control Symposium, 1988..

[14]  Mode matching method for determination of the resonant frequency of a dielectric resonator placed in a metallic box , 1987 .

[15]  Jerzy Krupka,et al.  Resonant modes in shielded cylindrical ferrite and single-crystal dielectric resonators , 1989 .

[16]  Modal analysis of dielectric-sleeve-loaded circular waveguide for dual-mode radiator applications , 1987 .

[17]  Jerzy Krupka,et al.  Dielectric properties of single crystals of Al/sub 2/O/sub 3/, LaAlO/sub 3/, NdGaO/sub 3/, SrTiO/sub 3/, and MgO at cryogenic temperatures , 1994 .

[18]  J. Krupka,et al.  Loss-Angle Measurement , 1999 .

[19]  A. Abramowicz,et al.  Complex permittivity measurements of extremely low loss dielectric materials using whispering gallery modes , 1997, 1997 IEEE MTT-S International Microwave Symposium Digest.

[20]  D. Kajfex,et al.  Dielectric Resonators , 1986 .

[21]  U. Stumper,et al.  Permittivity measurements using a frequency-tuned microwave TE01 cavity resonator , 1985 .

[22]  I. Wolff,et al.  Dielectric ring-gap resonator for application in MMIC's , 1991, 1991 IEEE MTT-S International Microwave Symposium Digest.

[23]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .