1 / 52

Shelley Blasdel Begley

Implementing the Split Cylinder Resonator Method for Measuring Complex Permittivity of Low Loss Materials. Shelley Blasdel Begley. Outline. Definition of Permittivity Overview of the Split Cylinder Method A Walk Through the Process. Definition of Permittivity.

micol
Download Presentation

Shelley Blasdel Begley

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Implementing the Split Cylinder Resonator Method for Measuring Complex Permittivity of Low Loss Materials Shelley Blasdel Begley Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  2. Outline • Definition of Permittivity • Overview of the Split Cylinder Method • A Walk Through the Process Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  3. Definition of Permittivity Permittivity describes the interaction of a material in the presence of an electric field. Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  4. Definition of Permittivity Permittivity describes the interaction of a material in the presence of an electric field. storage Measure of how much energy from an external electric field is stored in the material. Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  5. Definition of Permittivity Permittivity describes the interaction of a material in the presence of an electric field. storage Measure of how much energy from an external electric field is stored in the material. aka Dielectric Constant Dk Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  6. Definition of Permittivity Permittivity describes the interaction of a material in the presence of an electric field. loss storage Measure of how much energy from an external electric field is stored in the material. Measure of how much energy from the electric field is lost. aka Dielectric Constant Dk Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  7. Definition of Permittivity Permittivity describes the interaction of a material in the presence of an electric field. Complex but not Constant! loss storage Measure of how much energy from an external electric field is stored in the material. Measure of how much energy from the electric field is lost. aka Dielectric Constant Dk Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  8. Loss Tangent Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  9. Loss Tangent Quality Factor Dissipation Factor Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  10. Loss Tangent Quality Factor Dissipation Factor Aka Tan Delta Df Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  11. Overview of the Split Cylinder Method • Sensitive Resonant method for measuring complex permittivity • Useful for thin film and low loss sheet materials. • Originally proposed by Gordon Kent, improved by NIST Boulder, CO. • Adopted as IPC Standard TM-650 2.5.5.13 Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  12. Split Cylinder Resonator System PNA, PNA-L, PNA-XNetwork Analyzer Optional Computer LAN Agilent 85071E-300 Software runs on optional PC or Network Analyzer 85072A 10GHz Split Cylinder Resonator and sample Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  13. Overview of the Split Cylinder Method Side View Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  14. Overview of the Split Cylinder Method Side View Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  15. Overview of the Split Cylinder Method Side View Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  16. Overview of the Split Cylinder Method Side View Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  17. Overview of the Split Cylinder Method Electric Field Orientation for TEmnp Modes Where m = 0 and p is odd. Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  18. Overview of the Split Cylinder Method p = 3 Electric Field Orientation for TEmnp Modes Where m = 0 and p is odd. Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  19. Overview of the Split Cylinder Method Field orientation can be significant if sample is anisotropic Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  20. Qo Qs f fs fo Overview of the Split Cylinder Method Measure Empty and Sample filled Resonator Real part of permittivity is a function of Frequency shift Loss tangent is a function of decrease in Q factor Also needed: Sample thickness Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  21. Qo Qs f fs fo Process Flow Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  22. Process Flow Qo f fo Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  23. Measure Empty Split Cylinder Resonator Agilent Software Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  24. Measure Empty Split Cylinder Resonator S21 of TE011 Mode Resonator should be loosely coupled Adjust peak between 55-65dB Agilent Software Agilent Software guide Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  25. Frequency and Quality Factor determination Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  26. Frequency and Quality Factor determination • Scalar Techniques • 3dB Bandwidth • Weighted Least Squares (WLS) • Resonant Curve Area (RCA) f0 3dB Δf S21 Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  27. Frequency and Quality Factor determination • Vector Technique • Circle Fit fo S21 Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  28. Frequency and Quality Factor determination Method Comparison • 3dB Bandwidth • Weighted Least Squares (WLS) • Resonant Curve Area (RCA) • Circle Fit Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  29. Process Flow Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  30. Measure Sample Thickness • Sample is assumed to be a uniform known thickness • Best results: 0.1 to 3mm thick, ideally ~1mm • Thickness uncertainty <0.02mm • Minimize imperfections due to: • Flatness • Straightness • Parallelism Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  31. sample fixed adjustable cylinder cylinder half half coupling loop z coupling loop sample fixed adjustable cylinder cylinder half half coupling loop z coupling loop Sample thickness measurement • Conforming samples such as thin films and PCBs • Samples will be straightened out by cylinders. • Recommend Agilent built in micrometer or mean of multiple thickness measurements. • Rigid samples such as Ceramics • Samples will not be straightened out by cylinders. • Recommend mean of multiple thickness measurements. Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  32. Process Flow Qs f fs Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  33. Qo Qs f fs fo Measure Sample Filled Resonator = Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  34. Estimate Sample Filled Frequency NIST Software – CalcFoInput.dat Number of TE0n Modes in Model Radius of Split-Cylinder Resonator (m) Length of Upper or Lower Split-Cylinder Resonator Section (m) Substrate Thickness (m) Initial Guess for Relative Permittivity of Substrate • Three ways to come up with initial guess: • Theoretical or Design Value • Independent Measurement • Measure TE111 mode Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  35. Calculate Sample Filled Frequency • TE111 mode is the dominant mode when TE111 h = the total length of the closed cavity, or in this case where the cylinders are equal length, 2x the length of one cylinder. a = the radius of the cylinders. χ’mn = the mth root of Bessel function of nth order Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  36. Agilent Software Calculate Sample Filled Frequency • TE111 mode Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  37. Measure Sample Filled Frequency and Q Agilent Software Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  38. Qo Qs f fs fo Process Flow Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  39. Calculate Permittivity Agilent Software Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  40. Qo Qs f fs fo Process Flow Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  41. Higher Order Modes TE011 Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  42. Double Peak in Search Span Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  43. Double Peak in Search Span Agilent Software Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  44. Interfering Modes Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  45. Interfering Modes Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  46. Split Cylinder Resonator Results Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  47. Split Cylinder Resonator Results Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  48. Conclusions • Split Cylinder Resonator is a sensitive method for measuring complex permittivity of low loss materials • It can be confusing if you don’t know what you are doing. • Agilent offers a turn key solution to make it fast and easy. Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  49. Thank You for listening More information at www.agilent.com/find/materials Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

  50. References • [1] M.D. Janezic, ‘‘Nondestructive Relative Permittivity and Loss Tangent Measurements using a Split-Cylinder Resonator,’’Ph.D. Thesis, University of Colorado at Boulder, 2003. • [2] IPC-TM-650 Test Methods Manual Relative Permittivity and Loss Tangent Using a Split-Cylinder Resonator” Number 2.5.5.13 January, 2007. • [3] R.N. Clarke (Ed.), “A Guide to the Characterization of Dielectric Materials at RF and Microwave Frequencies,” Published by The Institute of Measurement & Control (UK) & NPL, 2003 • [4] P.G. Bartley, S.B. Begley “Quality Factor Determination of Resonant Structures” IMTC 2006 – Instrumentation and Measurement Technology Conference Sorrento, Italy 24-27 April 2006 • [5] M.T. Ali, M.K.M. Salleh, Md.M.Md. Zan “” Air-Filled Circular Cross Sectional Cavity for Microwave Non-Destructive Testing Transactions on Engineering, Computing and Technology Volume 18 December 2006, pg 107-112, ISSN 1305-5313 • [6] M.D. Janezic, J.Krupka “Split-Post and Split-Cylinder Resonator Techniques: A Comparison of Complex Permittivity Measurement of Dielectric Substrates”. CICMT 2008 pgs 156-159. Implementing Split Cylinder Resonator for Dielectric Measurement of Low Loss Materials

More Related