Modification of Signal Propagation Velocity Through Printed Circuit Boards Using High Dielectric Constant Materials
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1 Modification of Signal Propagation Velocity Through Printed Circuit Boards Using High Dielectric Constant Materials RICHARD JIANG, BROWN UNIVERSITY DOUGLAS JACKSON, UNIVERSITY OF LOUISVILLE JOHN NABER, UNIVERSITY OF LOUISVILLE
2 Motivation
3 Motivation
4 Motivation
5 Motivation
6 Motivation
7 Motivation
8 Motivation
9 Background
10 Background Copper Routing W T FR4 Substrate H Power/Ground Planes
11 Background Copper Routing FR4 Substrate W T H V " = c sqrt dk +,, Power/Ground Planes
12 Background Copper Routing FR4 Substrate W T H V " = c sqrt dk +,, Power/Ground Planes Signal Velocity for Stripline vs Microstrip for W/H = 2 Signal Velocity (m/s) 3.50E E E E E E E E Dielectric Constant of Substrate Stripline Microstrip
13 Methods
14 Methods Recall: Can we modify speeds of signals through PCBs?
15 Methods Recall: Can we modify speeds of signals through PCBs? c V " = sqrt dk +,,
16 Methods Recall: Can we modify speeds of signals through PCBs? c V " = sqrt dk +,, V "- = dk 1 dk 2 c sqrt dk +,,- V ". = c sqrt dk +,,.
17 Methods Control/Reference Trace Variable/Modified Trace
18 Methods Control/Reference Trace Variable/Modified Trace
19 Methods Control/Reference Trace Variable/Modified Trace
20 Methods Copper 120 mils (3.048 mm) FR4 Substrate Void (Air) 10 mils (0.254 mm) 240 mils (6.096 mm) 50 mils (1.270 mm)
21 Methods Tested Materials Considerations: Range Ease of Application Safety Mechanical Integrity
22 Methods Material Reported dk Tested Materials Considerations: Range Ease of Application Safety Mechanical Integrity FR4 4.2 Air 1 PVDF (Polyvinylidene Fluoride) 8.4 Barium Titanate 2000 Water* 80.4 Silicon Nitride 7 Titanium Dioxide 10 Mica 7
23 Methods
24 Methods Material Capacitance (pf) Reported k Notes / k FR / Reference material Air 7.9 / Lowest dielectric PVDF (polyvinylidene 26.6 / layers of film difluoride) Barium Titanate 48.5 / Dried but not sintered Water* 63.0 / Water & cornstarch mixture Silicon Nitride 15.3 / Research grade Titanium Dioxide 19.0 / Consumer grade Mica 11.5 / Consumer grade
25 Experimentation
26 Experimentation Material FR4 Air PVDF (Polyvinylidene Fluoride) Barium Titanate Water* Silicon Nitride Titanium Dioxide Mica
27 Experimentation Material FR4 Air PVDF (Polyvinylidene Fluoride) Barium Titanate Water* Silicon Nitride Titanium Dioxide Mica
28 Experimentation Control/Reference Trace Variable/Modified Trace
29 Experimentation Control/Reference Trace Control/Reference Trace Variable/Modified Trace Variable/Modified Trace
30 Experimentation Control/Reference Trace Variable/Modified Trace
31 Experimentation Control/Reference Trace Variable/Modified Trace
32 Experimentation O_Scope Ch1 Control/Reference Trace O_Scope Ch2 Variable/Modified Trace
33 Experimentation O_Scope Ch1 Control/Reference Trace O_Scope Ch2 Variable/Modified Trace
34 Experimentation O_Scope Ch1 Control/Reference Trace 0E- 01 0E- 01 0E- 01 0E- 01 0E- 02 0E+00 0E- 02 0E- 01 0E- 01 0E- 01 0E- 01 0E- 01-6E- 09-4E- 09-2E- 09 Time 0E+00 (s) 2E- 09 4E- 09 6E- 09 Voltage (V) O_Scope Ch2 Variable/Modified Trace
35 Results
36 Results Measured Tp Calculated Tp % Error Measured Td Calculated Td % Error (ns) (ns) (ns) (ns) FR Air PVDF Heated BaTiO3 Water* Silicon Nitride TiO Mica
37 Results VNA Delay (ns) Oscope Delay (ns) % Error FR Air PVDF Heated BaTiO Water* Silicon Nitride TiO Mica
38 Results Measured Velocity Calculated Velocity % Error (10^8m/s) (10^8m/s) FR Air PVDF Heated BaTiO Water* Silicon Nitride TiO Mica
39 Conclusion
40 Conclusion The propagation speeds of signals through printed circuit board traces were successfully varied by modifying the surrounding material.
41 Conclusion The propagation speeds of signals through printed circuit board traces were successfully varied by modifying the surrounding material. The amount by which the speeds varied followed the trend dictated by the equation V s = c/sqrt(dk eff ).
42 Conclusion The propagation speeds of signals through printed circuit board traces were successfully varied by modifying the surrounding material. The amount by which the speeds varied followed the trend dictated by the equation V s = c/sqrt(dk eff ). Not all measured dielectric constants matched with their reported values, indicating a need for further work in measurement techniques. Measured results agree with calculations with the exception of PVDF.
43 Conclusion The propagation speeds of signals through printed circuit board traces were successfully varied by modifying the surrounding material. The amount by which the speeds varied followed the trend dictated by the equation V s = c/sqrt(dk eff ). Not all measured dielectric constants matched with their reported values, indicating a need for further work in measurement techniques. Measured results agree with calculations with the exception of PVDF. Results show that signal velocities between 4.45 and in/ns (11.31 and cm/ns) can be obtained.
44 Conclusion The propagation speeds of signals through printed circuit board traces were successfully varied by modifying the surrounding material. The amount by which the speeds varied followed the trend dictated by the equation V s = c/sqrt(dk eff ). Not all measured dielectric constants matched with their reported values, indicating a need for further work in measurement techniques. Measured results agree with calculations with the exception of PVDF. Results show that signal velocities between 4.45 and in/ns (11.31 and cm/ns) can be obtained. These numbers are promising for increasing the efficiency of PCB area utilization and with further work, this research may find itself within standard PCB processingsteps.
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