PCB SUBSTRATES CHARATERISATION USING PRINTED STRUCTURES
Cite as: M.M. Migalin, V.A. Obukhovets. PCB substrates charaterisation using printed structures // Izvestiya SFedU. Engineering Sciences – 2024. – N. 6. - P. 257-266. doi: 10.18522/2311-3103-2024-6-257-266
Abstract
Growing user requirements for data exchange rates in telecommunication systems have resulted in
the active adoption of mm-band wavelengths and the intensive development of broadband communication
systems. Designing mm-wave microwave devices using CAD requires accurate frequency-dependent relative
permittivity data for the used substrate to reduce the device design time. This paper focuses on determining
the relative dielectric constant of the Rogers 3003G2 substrate in the mm-wavelength range. Both
non-resonant and resonant methods were used to find the dielectric permittivity. The automation of the
measurement data processing was achieved by using the developed script in MATLAB. The relative permittivity
of the substrate in the band 1-42 GHz was determined by applying the phase difference method,
using two microstrip lines of different lengths. SIW resonators with waveguide excitation were developed
to avoid using a probe station with fragile probes for S-parameter measurements in the mm-length range.
The relative permittivity of the studied substrate in the 60-170 GHz range was found using three prototype
multi-mode SIW resonators. A set of single-mode SIW resonators with different waveguide excitation coupling
was produced to avoid ambiguity in longitudinal mode number determination in multi-mode SIW
resonators. Several loaded resonant frequencies were obtained by varying the length of SIW-resonators'
excitation slots to calculate the unloaded resonant frequency used to find the relative dielectric permittivity
of the substrate. Recommendations for developing SIW resonators for the determination of dielectric
properties of the substrates are given in the conclusion section.
References
Permittivity and High Dielectric Loss, Sensors, 2022, 22, 1764. DOI: 10.3390/s22051764.
2. Shiheng H., Huang J. A Novel Substrate Integrated Waveguide Shorted Coaxial Resonator for Characterizing
Complex Permittivity of Liquids and Solid Content of Water-based Ferrofluid, IEEE Sensors
Journal, 1 July, 2024, Vol. 24, No. 13, pp. 20549-20558. DOI: 10.1109/JSEN.2024.3399323.
3. Vergnano A., Godio A., Raffa CM., et al. Open-Ended Coaxial Probe Measurements of Complex Dielectric
Permittivity in Diesel-Contaminated Soil during Bioremediation, Sensors, 2020, 20 (22):6677.
DOI: 10.3390/s20226677.
4. Zha J.W., et al. Polymer-based dielectrics with high permittivity for electric energy storage: A review,
Nano Energy, 2021, 89, 106438.
5. Takenori K., et al. Material design and high frequency characterization of novel ultra-low loss dielectric
material for 5G and 6G applications, 2021 IEEE 71st Electronic Components and Technology
Conference (ECTC). IEEE, 2021, pp. 538-543.
6. Krupka J., Pacewicz A., Kopyt P., Salski P. Measurements of the complex permittivity of low loss
ferrites at millimeter wave frequencies, Materials Research Bulletin, 2024, Vol. 179, pp. 112994.
DOI: 10.1016/j.materresbull.2024.112994.
7. Mosavirik T., Hashemi M., Soleimani M., et al. Accuracy-Improved and Low-Cost Material Characterization
Using Power Measurement and Artificial Neural Network, IEEE Transactions on Instrumentation
and Measurement, Vol. 70, pp. 1-9, 202. DOI: 10.1109/TIM.2021.3126011.
8. Chen L.F., Ong C.K., Neo C.P., Varadan V.V., Varadan V.K. Microwave electronics. Measurements
and materials characterization. John Wiley & Sons, 2004, 552 p.
9. Belov Yu.G., Kuzheleva A.A., Nefed'ev I.A. Tsilindricheskiy rezonator dlya izmereniya parametrov dielektricheskikh
plastin [Cylindric resonator for dielectric slabs characterisation], Informacionnye sistemy i
tehnologii [Information systems and technologies], Sbornik materialov XXV Mezhdunarodnoy nauchnotekhnicheskoy
konferentsii [Proceedings of the XXV international conference], 2019, pp. 199-204.
10. Krupka J. Measurements of the Complex Permittivity of Low Loss Polymers at Frequency Range From 5
GHz to 50 GHz, IEEE Microwave and Wireless Components Letters, 2016, Vol. 26, No. 6, pp. 464-466.
11. Marqués-Villarroya D., et al. Enhanced Full-Wave Circuit Analysis for Modeling of a Split Cylinder Resonator,
IEEE Transactions on Microwave Theory and Techniques, 2017, Vol. 65, No. 4, pp. 1191-1202.
12. Possenti L. et al. Improved Fabry-Pérot electromagnetic material characterization: Application and
results, Radio Science, Nov. 2020, Vol. 55, No. 11, pp. 1-15. DOI 10.1029/2020RS007164.
13. Naoki H., et al. Measurement technique for interface and surface conductivities at millimeter-wave
frequencies using dielectric rod resonator excited by nonradiative dielectric waveguide, IEEE Transactions
on Microwave Theory and Techniques, 2022, 70.5, pp. 2750-2761.
14. Walia G., Laforge P. D., Azam S., Paranthaman R. Dielectric Characterization Using Reflected Group
Delay of a Partially Filled Coaxial Resonator, IEEE Access, 2024, Vol. 12, pp. 123581-123594. DOI:
10.1109/ACCESS.2024.3453658.
15. Alahnomi R.A., Zakaria, Z., Yussof Z.M., et al. Review of Recent Microwave Planar Resonator-Based
Sensors: Techniques of Complex Permittivity Extraction, Applications, Open Challenges and Future
Research Directions, Sensors, 2021, 21, 2267. DOI: 10.3390/s21072267.
16. Khair N.S, Yusof N.A.T, Wahab Y.A., et al. Substrate-integrated waveguide (SIW) microwave sensor
theory and model in characterising dielectric material: A review, Sensors International, 2023, Vol. 4,
pp. 100244. DOI: 10.1016/j.sintl.2023.100244.
17. Nahid A.A., et al. Characterization of alumina ribbon ceramic substrates for 5G and mm-wave applications,
IEEE Transactions on Components, Packaging and Manufacturing Technology, 2022, 12.9,
pp. 1432-1445.
18. Liu X., Gan L., Yang B. Millimeter-wave free-space dielectric characterization, Measurement, 2021,
Vol. 179, pp. 109472. DOI: 10.1016/j.measurement.2021.109472.
19. Kok Yeow Y., Goudos Sotirios K. Materials characterization using microwave waveguide system, Microwave
systems and applications, 2017, pp. 341-358.
20. Das N.K., Voda S.M., Pozar D.M. Two Methods for the Measurement of Substrate Dielectric Constant,
IEEE Transactions on Microwave Theory and Techniques, July 1987, Vol. 35, No. 7, pp. 636-642.
21. Gusev Yu. A. Osnovy dielektricheskoy spektroskopii: ucheb. posobie [Foundations of dielectric spectroscopy:
textbook]. Kazan': Kazan. gos. un-t, 2008, 112 p.
22. Dmitriev-Zdorov V., Simonovich B., Kochikov I. A causal conductor roughness model and its effect on
transmission line characteristics, Proc. DesignCon., 2018, pp. 1-31.
23. Wang H. B., Cheng Y. J. Broadband Printed-Circuit-Board Characterization Using Multimode Substrate-
Integrated-Waveguide Resonator, IEEE Transactions on Microwave Theory and Techniques,
June 2017, Vol. 65, No. 6, pp. 2145-2152.
24. Garg R., Bahl I., Bozzi M. Microstrip lines and slotlines. Norwood: Artech house, 2013, 560 p.
25. RO3003G2 Laminates. RO3003G2 Laminates Data Sheet. Available at: https://www.rogerscorp.com/
advanced-electronics-solutions/ro3000-series-laminates/ro3003g2-laminates (accessed 30 September 2024).
26. Yan L., Hong W., Hua G., et al. Simulation and experiment on SIW slot array antennas, IEEE Microwave
and Wireless Components Letters, Sept. 2004, Vol. 14, No. 9, pp. 446-448. DOI:
10.1109/LMWC.2004.832081.
27. Canós, A.J., Catalá-Civera, J.M., Penaranda-Foix F.L., Reyes-Davo E. A novel technique for
deembedding the unloaded resonance frequency from measurements of microwave cavities, IEEE
transactions on microwave theory and techniques, 2006, 54 (8), pp. 3407-3416.
28. Kajfez D. Q Factor Measurements Using MATLAB. Norwood: Artech house, 2011, 189 p.