Two-layered disc quasi-optical dielectric resonators: electrodynamics and application perspectives for complex permittivity measurements of lossy liquids

Electromagnetic properties of novel quasi-optical resonators are studied theoretically and experimentally. The resonators are a radially two-layered dielectric disc sandwiched between conducting endplates. The internal layer can be filled with air or lossy liquid. Whispering gallery modes are excited in such a resonator and the mode energy is concentrated near the inner side of the cylindrical surface of an external layer. The measurement data obtained in the Ka-band are compared with theoretical calculations of eigenfrequencies and quality factors of the Teflon resonator filled with water, ethyl alcohol, benzene and aqueous solutions of ethyl alcohol. A number of ‘anomalous’ properties of the resonator can be described using Maxwell equations. The experimental data on the complex permittivity of a binary mixture water–ethyl alcohol are compared with the values calculated in terms of Debye's function. An important feature of the proposed technique is that it holds promise for making first principle microwave measurements of the permittivity of lossy liquids.

[1]  J. Krupka,et al.  Complex permittivity measurements of ferroelectrics employing composite dielectric resonator technique , 2006, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[2]  Jerzy Krupka,et al.  Frequency domain complex permittivity measurements at microwave frequencies , 2006 .

[3]  S. Bunyaev,et al.  Conical quasioptical dielectric resonator , 2005 .

[4]  A. Matsko,et al.  Review of Applications of Whispering-Gallery Mode Resonators in Photonics and Nonlinear Optics , 2005 .

[5]  Z. Eremenko,et al.  Exact-calculated resonator method for permittivity measurement of high loss liquids at millimetre wavelength , 2005 .

[6]  N. Cherpak,et al.  Response to “Comment on ‘On the negative value of dielectric permittivity of the water surface layer’ ” [Appl. Phys. Lett.85, 1301 (2004)] , 2004 .

[7]  J. Krupka,et al.  TE018 Dielectric-Resonator Technique for Precise Measurements of the Complex Permittivity of Lossy Liquids at Frequencies Below 1 GHz* , 2004, 2004 Conference on Precision Electromagnetic Measurements.

[8]  A. Kumbharkhane,et al.  Dielectric relaxation studies of aqueous sucrose in ethanol mixtures using time domain reflectometry , 2004 .

[9]  G. Annino,et al.  Comment on “On the negative value of dielectric permittivity of the water surface layer” [Appl. Phys. Lett.83, 4506 (2003)] , 2004, physics/0401023.

[10]  T. Smirnova,et al.  On the negative value of dielectric permittivity of the water surface layer , 2003 .

[11]  S. Vitusevich,et al.  Accurate microwave technique of surface resistance measurement of large-area HTS films using sapphire quasi-optical resonator , 2003 .

[12]  N. Klein,et al.  Design and characterization of an all-cryogenic low phase-noise sapphire K-band oscillator for satellite communication , 2003 .

[13]  Y. Filipov,et al.  Anisotropic disk dielectric resonator with conducting end faces , 2002 .

[14]  Anatolii N Oraevsky,et al.  Whispering-gallery waves , 2002 .

[15]  U. Kaatze,et al.  Water−Ethanol Mixtures at Different Compositions and Temperatures. A Dieletric Relaxation Study , 2000 .

[16]  J. Barthel,et al.  The dielectric relaxation of water between 0°C and 35°C , 1999 .

[17]  S. Kharkovsky,et al.  Whispering gallery modes of an open hemispherical image dielectric resonator , 1999 .

[18]  E. Ganapolskii,et al.  A sapphire sphere resonator for the measurement of low dielectric losses in the millimetre-wave range in liquids , 1997 .

[19]  Christopher C. Davis,et al.  Microwave dielectric characterization of binary mixtures of water, methanol, and ethanol , 1996 .

[20]  Harald Redlin,et al.  Structures of water and primary alcohol studied by microwave dielectric analyses , 1991 .

[21]  Dominique Cros,et al.  Whispering gallery dielectric resonator modes for W-band devices , 1990 .

[22]  A. Luzar,et al.  Dielectric behaviour of DMSO-water mixtures. A hydrogen-bonding model , 1990 .

[23]  J. Arnaud,et al.  Whispering-gallery modes of dielectric resonators , 1982 .

[24]  H. A. Hyatt Emission, reflection, and absorption of microwaves at a smooth air-water interface , 1970 .

[25]  James R. Wait Electromagnetic Whispering Gallery Modes in a Dielectric Rod , 1967 .

[26]  Raymond M. Fuoss,et al.  Theory of dielectrics. , 1949 .

[27]  N. Cherpak,et al.  Radially two-layered quasi-optical dielectric resonators with ethyl alcohol and water , 2005, 2005 European Microwave Conference.

[28]  S. Rzoska,et al.  Nonlinear dielectric phenomena in complex liquids , 2005 .

[29]  N. Cherpak,et al.  Symmetric and asymmetric two-hemidisk quasi-optical dielectric resonators , 2003, 33rd European Microwave Conference Proceedings (IEEE Cat. No.03EX723C).

[30]  I︠a︡. I︠u︡. Akhadov Dielectric properties of binary solutions , 1981 .

[31]  A. Maradudin,et al.  Theory of dielectrics , 1949 .

[32]  D. Ritson,et al.  The Cavity Resonator Method of Measuring the Dielectric Constants of Polar Liquids in the Centimetre Band , 1948 .