# US 10,309,909 B2 · Dielectric constant detection method and device using anomalous phase dispersion > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 10,309,909 B2 - Document ID: US10309909B2 - Status: Granted - Kind: B2 - Application number: 14/936,738 - Filed: 2015-11-10 - Published: 2017-05-11 - Granted: 2019-06-04 - Earliest claimed: 2015-11-10 - Assignees: United Arab Emirates University - Applicants: United Arab Emirates University - Inventors: Rashad Ramzan; Omar Farooq Sidiqui; Azam Beg; Omar Ramahi - Web page: https://patentgrep.com/patent/US10309909B2 ## CPC - G01N 22/00: Investigating or analysing materials by the use of microwaves or radio waves, i.e. electromagnetic waves with a wavelength of one millimetre or more (G01N3/00 - G01N17/00, G01N24/00 take precedence) - G01N: INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES (measuring or testing apparatus or processes other than immunoassay, involving enzymes or microorganisms C12M, C12Q) ## Abstract There is provided a dielectric constant analyzer device adapted to determine a dielectric property associated with a substrate material by measuring transmission and reflection parameters for a transmission line connected to said substrate material over a specified frequency range; determining a transmission phase response based on the transmission and reflection parameters; determining an anomalous phase slope characterized by a double slope reversals based on the transmission phase response; determining a resonance frequency based on a centre point of the anomalous phase slope reversals, where the center point corresponds to an anomalous phase at the resonance frequency; and determining the dielectric constant based on the resonance frequency, the anomalous phase at the resonance frequency and the anomalous phase slope. There is also provided a method and a microcomputer for doing the same. ## Claims ### Claim 1 A method of determining a dielectric property associated with a substrate material, the method comprising: printing an anomalous dispersive circuit on the substrate material; connecting a transmission line to the substrate material; obtaining transmission and reflection parameters for the transmission line connected to said substrate material over a specified frequency range, wherein the transmission line comprises a conductive strip having a first end connected to a transmitter and a second end connected to a receiver; determining a transmission phase response based on the transmission and reflection parameters; determining an anomalous phase slope characterized by a double slope reversals based on the transmission phase response; determining a resonance frequency based on a centre point of the anomalous phase slope reversals, where the center point corresponds to an anomalous phase at the resonance frequency; determining the dielectric constant based on the resonance frequency, the anomalous phase at the resonance frequency and the anomalous phase slope, and applying the method of determining the dielectric constant based on the resonance frequency, the anomalous phase at the resonance frequency and the anomalous phase slope for calculating dielectric parameters of known dielectric materials; wherein the calculated dielectric parameters are within 10% error of actual dielectric parameters of the known dielectric materials; wherein the substrate material is tailored mechanically in the form of a rectangular shaped slab which is treated as a microwave substrate and the transmission line is printed on a first face of the rectangular shaped slab, and wherein a second face of the rectangular shaped slab is covered with a conducting plane to form a ground plane. ### Claim 2 (depends on 1) The method of claim 1, wherein the transmission and reflection parameters are obtained from ABCD or scattering parameters (s-parameters). ### Claim 3 (depends on 1) The method of claim 1, wherein determining the dielectric constant comprises determining a real part of the dielectric constant using the resonance frequency and the anomalous phase at the resonance frequency, and determining an imaginary part of the dielectric constant using the anomalous phase slope. ### Claim 4 (depends on 1) The method of claim 1 wherein the material is a solid material. ### Claim 5 (depends on 1) The method of claim 1, wherein the material is a fluid material. ### Claim 6 (depends on 1) The method of claim 1 wherein frequency range comprises a frequency range in the vicinity of the resonance frequency of the substrate material. ### Claim 7 (depends on 1) The method of claim 1 wherein the conductive strip of the transmission line has a strip width and a strip length and a stub extending perpendicularly from the conductive strip for forming an open circuit having a stub width and a stub length. ### Claim 8 (depends on 1) The method of claim 1, wherein the substrate material is adapted to be embedded in a resonant circuit comprising the transmitter and the receiver, and wherein the ground plane is formed such that the transmission line and the ground plane form a two-port transmission line. ### Claim 9 A dielectric constant analyzer device adapted to determine a dielectric property associated with a substrate material by: printing an anomalous dispersive circuit on the substrate material; connecting a transmission line to the substrate material; measuring transmission and reflection parameters for the transmission line connected to said substrate material over a specified frequency range, wherein the transmission line comprises a conductive strip having a first end connected to a transmitter and a second end connected to a receiver; determining a transmission phase response based on the transmission and reflection parameters; determining an anomalous phase slope characterized by a double slope reversals based on the transmission phase response; determining a resonance frequency based on a centre point of the anomalous phase slope reversals, where the center point corresponds to an anomalous phase at the resonance frequency; and determining the dielectric constant based on the resonance frequency, the anomalous phase at the resonance frequency and the anomalous phase slope, and applying the method of determining the dielectric constant based on the resonance frequency, the anomalous phase at the resonance frequency and the anomalous phase slope for calculating dielectric parameters of known dielectric materials; wherein the calculated dielectric parameters are within 10% error of actual dielectric parameters of the known dielectric materials; wherein the substrate material is tailored mechanically in the form of a rectangular shaped slab which is treated as a microwave substrate and the transmission line is printed on a first face of the rectangular shaped slab, and wherein a second face of the rectangular shaped slab is covered with a conducting plane to form a ground plane. ### Claim 10 (depends on 9) The analyzer device of claim 9, wherein the transmission and reflection parameters are obtained from ABCD or scattering parameters (s-parameters). ### Claim 11 (depends on 9) The analyzer device of claim 9, wherein determining the dielectric constant comprises determining a real part of the dielectric constant using the resonance frequency and the anomalous phase at the resonance frequency, and determining an imaginary part of the dielectric constant using the anomalous phase slope. ### Claim 12 (depends on 9) The analyzer device of claim 9 wherein the material is a solid material. ### Claim 13 (depends on 9) The analyzer device of claim 9, wherein the material is a fluid material. ### Claim 14 (depends on 9) The analyzer device of claim 9 wherein frequency range comprises a frequency range in the vicinity of the resonance frequency of the substrate material. ### Claim 15 (depends on 9) The analyzer device of claim 9 wherein the conductive strip of the transmission line has a strip width and a strip length and a stub extending perpendicularly from the conductive strip for forming an open circuit having a stub width and a stub length. ### Claim 16 (depends on 9) The analyzer device of claim 9, wherein the substrate material is adapted to be embedded in a resonant circuit comprising the transmitter and the receiver, and wherein the ground plane is formed such that the transmission line and the ground plane form a two-port transmission line. ### Claim 17 A microcomputer adapted to determine a dielectric property associated with a substrate material by: printing an anomalous dispersive circuit on the substrate material; connecting a transmission line to the substrate material; obtaining transmission and reflection parameters for the transmission line connected to said substrate material over a specified frequency range, wherein the transmission line comprises a conductive strip having a first end connected to a transmitter and a second end connected to a receiver; determining a transmission phase response based on the transmission and reflection parameters; determining an anomalous phase slope characterized by a double slope reversals based on the transmission phase response; determining a resonance frequency based on a centre point of the anomalous phase slope reversals, where the center point corresponds to an anomalous phase at the resonance frequency; and determining the dielectric constant based on the resonance frequency, the anomalous phase at the resonance frequency and the anomalous phase slope, and applying the method of determining the dielectric constant based on the resonance frequency, the anomalous phase at the resonance frequency and the anomalous phase slope for calculating dielectric parameters of known dielectric materials; wherein the calculated dielectric parameters are within 10% error of actual dielectric parameters of the known dielectric materials; wherein the substrate material is tailored mechanically in the form of a rectangular shaped slab which is treated as a microwave substrate and the transmission line is printed on a first face of the rectangular shaped slab, and wherein a second face of the rectangular shaped slab is covered with a conducting plane to form a ground plane. ### Claim 18 (depends on 17) The microcomputer of claim 17, wherein determining the dielectric constant comprises determining a real part of the dielectric constant using the resonance frequency and the anomalous phase at the resonance frequency, and determining an imaginary part of the dielectric constant using the anomalous phase slope.