2010
DOI: 10.2528/pierb10012103
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Coupling Coefficients of Resonators in Microwave Filter Theory

Abstract: This paper is an overview of important concepts and formulas involved in the application of coupling coefficients of microwave resonators for the design of bandpass filters with a particular emphasis on the frequency dispersion of coupling coefficients.The presumptions and formulas are classified into accurate, approximate, and erroneous ones.

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Cited by 33 publications
(4 citation statements)
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“…However, the total contribution of the quantum capacitance to the total capacitance of the thin films are negligible [ 43 , 44 ]; thus, it can be ignored, and consequently, the tunneling (tube-tube) resistance dominates. Therefore, only the tunneling effects appear on the EIS spectrum [ 45 ]. Under applied strain force, a shift in the Nyquist plot occurs, and by extracting the parameters at each applied force, those parameters can be derived ( Figure 8 ).…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…However, the total contribution of the quantum capacitance to the total capacitance of the thin films are negligible [ 43 , 44 ]; thus, it can be ignored, and consequently, the tunneling (tube-tube) resistance dominates. Therefore, only the tunneling effects appear on the EIS spectrum [ 45 ]. Under applied strain force, a shift in the Nyquist plot occurs, and by extracting the parameters at each applied force, those parameters can be derived ( Figure 8 ).…”
Section: Resultsmentioning
confidence: 99%
“…For the CPE element, no clear trend change was noticed, and also, almost no change in the true capacitance was remarked (change is less than 0.002%) [ 40 , 45 ]. This is referred to by the very low tunneling capacitance value that appears to not be detectable by the EIS measurement.…”
Section: Resultsmentioning
confidence: 99%
“…The coefficient coupling of dual-mode can be calculated from the odd-mode frequency (𝑓 𝑜 ) and the evenmode frequency (𝑓 𝑒 ) as given by ( 8) [25], [26].…”
Section: Filter Designmentioning
confidence: 99%
“…The coupling coefficient is a calculated empirical measure of the amount of magnetic flux sharing between coils and is therefore a parameter that engineers seek to maximise to promote the greatest efficiencies of their systems. There are other applications such as in meta-material and microwave antenna design where a clear understanding of the relationship between the angle or separation of adjacent coils, and the coupling factor is desired [6]. However, the computation of realistic coupling coefficients for arbitrary coil geometries, relative proximities and orientations to one another is non-trivial.…”
Section: Introductionmentioning
confidence: 99%