Calibration-free method to study temperature dependence of microwave dielectric properties of nematic liquid crystals

References

• Sahbani F, Tentillier N, Legrand C, et al. Coplanar liquid crystal reconfigurable phase-shifters. Mol Cryst Liq Cryst. 2011;542(1):204–212.
   Google Scholar
• Dubois F, Krasinski F, Splingart B, et al. Large microwave birefringence liquid-crystal characterization for phase-shifter applications. Jpn J Appl Phys. 2008;47(5):3564–3567.
   Web of Science ®Google Scholar
• Bulja S, Mirshekar-Syahkal D, James R, et al. Measurement of dielectric properties of nematic liquid crystals at millimeter wavelength. IEEE Trans Microw Theory Tech. 2010;58(12):3493–3501.
   Web of Science ®Google Scholar
• Kowerdziej R, Parka J, Krupka J, et al. Dielectric properties of highly anisotropic nematic liquid crystals for tunable microwave components. Appl Phys Lett. 2013;103(17):172902.
   Web of Science ®Google Scholar
• Kowerdziej R, Krupka J, Nowinowski-Kruszelnicki E, et al. Microwave complex permittivity of voltage-tunable nematic liquid crystals measured in high resistivity silicon transducers. Appl Phys Lett. 2013;102(10):102904.
   Web of Science ®Google Scholar
• Sanchez JR, Nova V, Bachiller C, et al. Characterization of nematic liquid crystal at microwave frequencies using split-cylinder resonator method. IEEE Trans Microw Theory Tech. 2019;67(7):2812–2820.
   Web of Science ®Google Scholar
• Yu C, Li E, Zhang Z, et al. Broadband complex permittivity measurements of nematic liquid crystals based on cavity perturbation method. Liq Cryst. 2019;47(1):89–98.
   Web of Science ®Google Scholar
• Nicolson AM, Ross GF. Measurement of the intrinsic properties of materials by time-domain techniques. IEEE Trans Instrum Meas. 1970;19(4):377–382.
   Web of Science ®Google Scholar
• Weir WB. Automatic measurement of complex dielectric constant and permeability at microwave frequencies. Proc IEEE. 1974;62(1):33–36.
   Web of Science ®Google Scholar
• Jose KA, Varadan VK, Varadan VV. Wideband and noncontact characterization of the complex permittivity of liquids. Microw Opt Technol Lett. 2001;30(2):75–79.
   Web of Science ®Google Scholar
• Boughriet AH, Legrand C, Chapoton A. Noniterative stable transmission/reflection method for low-loss material complex permittivity determination. IEEE Trans Microw Theory Tech. 1997;45(1):52–57.
   Web of Science ®Google Scholar
• Easton CD, Jacob MV, Krupta J. Non-destructive complex permittivity measurement of low permittivity thin film materials. Meas Sci Technol. 2007;18(9):2869.
   Web of Science ®Google Scholar
• Barannik AA, Cherpak NT, Prokopenko YV, et al. Two-layered disc quasi-optical dielectric resonators: electrodynamics and application perspectives for complex permittivity measurements of lossy liquids. Meas Sci Technol. 2007;18(7):2231.
   Web of Science ®Google Scholar
• Pauli M, Kayser T, Wiesbeck W. A versatile measurement system for the determination of dielectric parameters of various materials. Meas Sci Technol. 2007;18(4):1046.
   Web of Science ®Google Scholar
• Marks RB. A multiline method of network analyzer calibration. IEEE Trans Microw Theory Tech. 1991;39(7):1205–1215.
   Web of Science ®Google Scholar
• Engen GF, Hoer CA. Thru-reflect-line: an improved technique for calibrating the dual six-port automatic network analyzer. IEEE Trans Microw Theory Tech. 1979;27(12):987–993.
   Web of Science ®Google Scholar
• Eul HJ, Schiek BA. Generalized theory and new calibration procedures for network analyzer self-calibration. IEEE Trans Microw Theory Tech. 1991;39(4):724–731.
   Web of Science ®Google Scholar
• Janezic MD, Jargon JA. Complex permittivity determination from propagation constant measurements. IEEE Microw Guided Wave Lett. 1999;9(2):76–78.
   Google Scholar
• Hoer CA, Engen GF. Calibrating a dual six-port or four-port for measuring two-ports with any connectors. IEEE Trans Microw Theory Tech-S Int Microwave Sym Digest; Jun 2-4; Baltimore, MD, USA. IEEE; 1986. p. 665–668.
   Google Scholar
• Kerns DM, Beatty RW. Basic theory of waveguide junctions and introductory microwave network analysis. Oxford (UK): Pergamon Press; 1967.
   Google Scholar
• Williams DF, Marks RB, Phillips KR. Translate LRL and LRM calibrations. Microwaves and RF. 1991;30:78–84.
   Google Scholar
• DeGroot DC, Jargon JA, Marks RB Multiline TRL revealed. 60th ARFTG Conference Digest; 2002 Dec 5–6; Washington DC, USA: IEEE; 2002. p. 131–155.
   Google Scholar
• Marks RB, Williams FD. A general waveguide circuit theory. J Res Natl Inst Stand Technol. 1992;97(5):533–562.
   PubMed Web of Science ®Google Scholar
• Zhou H, Lu G, Li Y, et al. An improved method of determining permittivity and permeability by S parameters. Proceedings of PIERS 2009; 2009 Mar 23–27; Beijing, China. Cambridge (MA): The Electromagnetics Academy; 2009. p. 768–773.
   Google Scholar
• Levenberg K. A method for the solution of certain problems in least squares. Quart Appl Math. 1944;2(2):164–168.
   Google Scholar
• Marquardt D. An algorithm for least-squares estimation of nonlinear parameters. SIAM J Appl Math. 1963;11(2):431–441.
   Web of Science ®Google Scholar
• Baker-Jarvis J. Transmission/Reflection and short-circuit line methods for measuring permittivity and permeability. Boulder, CO: U.S. Department of Commerce, Institute of Standards and Technology NIST Technical Note; 1992. p. 1341.
   Google Scholar
• Baker-Jarvis J, Vanzura EJ, Kissick WA. Improved technique for determining complex permittivity with the transmission/reflection method. IEEE Trans Microw Theory Tech. 1990;38(8):1096–1103.
   Web of Science ®Google Scholar
• Baker-Jarvis J, Janezic MD, Grosvenor JH, et al. Transmission/Reflection and short-circuit line methods for measuring permittivity and permeability. Boulder, CO: U.S. Department of Commerce, Institute of Standards and Technology. NIST Technical Note; 1994. p. 1355.
   Google Scholar
• Ridler N, Lee B, Martens J, et al. Measurement uncertainty, traceability, and the GUM. IEEE Microw Mag. 2007;8(4):44–53.
   Web of Science ®Google Scholar
• Zografopoulos DC, Ferraro A, Beccherelli R. Liquid-crystal high-frequency microwave technology: materials and characterization. Adv Mater Technol. 2019;4(2):1800447.
   Web of Science ®Google Scholar
• Martin N, Laurent P, Person C, et al. Influence of design liquid crystal-based devices on the agility capability. IEEE MTT-S Int Microwave Sym Digest; Long Beach (CA), USA: IEEE; 2002. pp. 1835–1838.
   Google Scholar
• Mueller S, Goelden F, Moessinger A, et al. Liquid crystals - Microwave characterization and tunable devices. Frequenz. 2007;61(9–10):217–223.
   Web of Science ®Google Scholar
• Gölden F Liquid crystal based microwave components with fast response times: material, technology, power handling capability [ dissertation]. Darmstadt (Germany): Technische Universität Darmstadt; 2010.
   Google Scholar
• Karabey OH. Electronic beam steering and polarization agile planar antennas in liquid crystal technology. Cham Switzerland: Springer International Publishing; 2014.
   Google Scholar
• Penirschke A, Muller S, Scheele P, et al. Cavity perturbation method for characterization of liquid crystals up to 35 GHz. Proceedings of the 34th European Microwave Conference; 2004 Oct 12–14; Amsterdam, The Netherlands: IEEE; 2005. p. 545–548.
   Google Scholar
• Lapanik A, Goelden F, Lapanik V, et al. Nematic LCs mixtures with high birefringence in the microwave region. Frequenz. 2011;65(1–2):15–19.
   Web of Science ®Google Scholar
• Gaebler A, Goelden F, Mueller S, et al. Triple-mode cavity perturbation method for the characterization of anisotropic media. 2008 Proceedings of the 38th European Microwave Conference; 2008 Oct 27–31; Amsterdam, The Netherlands: IEEE; 2008. p. 909–912.
   Google Scholar
• Penirschke A, Mueller S, Goelden F, et al. Cavity perturbation method for temperature controlled characterization of liquid crystals at 38 GHz. Proceedings of the GeMiC 2006 German Microwave Conference; 2006 Mar 28–30; Karlsruhe, Germany: IEEE; 2006.
   Google Scholar
• Li J, Gauza S, Wu ST. Temperature effect on liquid crystal refractive indices. J Appl Phys. 2004;96(1):19–24.
   Web of Science ®Google Scholar
• Jadżyn J, Czechowski G, Douali R, et al. On the molecular interpretation of the dielectric relaxation of nematic liquid crystals. Liq Cryst. 1999;26(11):1591–1597.
   Web of Science ®Google Scholar
• Druon C, Wacrenier JM. A study of dielectric relaxation in 4 octyl 4’ cyanobiphenyl. Existence of associations among molecules. Ann Phys. 1978;3:199–202.
   Google Scholar