Effective permittivity and attenuation coefficient of microstrip transmission line determined by 1-port and 2-port measuring methods
Esa Kemppinen; Esa Kemppinen; Nokia Telecommunications, Wireless Transmission Products, Karaportti 2, FIN-02610 Espoo, Finland
Журнал:
Measurement Science and Technology
Дата:
2000-01-01
Аннотация:
Both 1-port and 2-port measuring methods have been demonstrated and compared to determine the real part of the frequency-dependent effective relative permittivity, <sub>re</sub> (f ), of microstrip lines fabricated on an alumina substrate. Signal flow diagram analysis has been used to derive equations from which <sub>re</sub> (f ) was calculated at discrete frequencies for the substrate with a known dielectric constant, <sub>r</sub> = 9.5. Both methods gave similar results for <sub>re</sub> (f ) from 45 MHz to 50 GHz. In addition, the measured frequency dependence of <sub>re</sub> (f ) was in agreement with the Kirschning-Jansen dispersion model within better than 2%. From the measured S -parameter data it was also possible to determine approximately the attenuation coefficient of the microstrips. Measured values obtained by the 2-port method were about 1.5-2 times the calculated values whereas the 1-port method suffered from radiation loss at the open end of the microstrips in the millimetre wave region. Both 1-port and 2-port methods can be used, for example, for quality checking purposes to verify how well the <sub>r</sub> value of the substrate material employed is within the specified range in a broad frequency band. However, the 1-port method can be more easily used to determine <sub>r</sub> of the substrate material at low microwave frequencies because it is faster than the 2-port method, the test structure is simpler and the calibration routine is easier to perform.
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