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6th August 2019, 12:39 #1
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6th August 2019, 14:51 #2
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Re: problem: coupling coefficient for two hairpin resonators
The Resonators are identical and if the coupling is tight, I think this is normal.
It looks like a coupled LC Resonators..

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6th August 2019, 15:49 #3
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Re: problem: coupling coefficient for two hairpin resonators
What Q's and coupling coefficient did your expect? Your equivalent BW= 125 MHz averaged at 2153 MHz (but asymm.) results in a Q of 17.
You may compute the Q from each outside skirt and then the coupling factor as said before with any double tuned coupled resonator equiv cct. depending on Q and spacing of f1,f2. The phase response may be more sensitive or accurate for this calc..A best design is easily achieved with good test specs™
A better question deserves a better answer. ™
... so include all your acceptance criteria ( values, % tolerance) and assumptions in your question or any design.
... Tony Stewart EE since 1975
 slightly north of Toronto

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7th August 2019, 04:55 #4
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Re: problem: coupling coefficient for two hairpin resonators
hi BigBoss
I want to redesign the results obtained by this paper:
kim2011.pdf
and I used the dimensions mentioned in the paper. this papers mentions 4 coupling coefficients between identical resonators which are placed in different directions and spacing with respect to each other. I am trying to extract the coupling coefficients mentioned in the paper. as I said the dimensions I chose, are the ones in the paper. if this structure can't show the coupling coefficient, how is it calculated in this paper?
Originally Posted by SunnySkyguy
right now i am more concerned with the coupling coefficient to be able to design the poles and zeros of the filter. I'll try the phase response but i think there should be a way to calculate coupling coefficient by two peak resonances of the magnitude of S21.

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7th August 2019, 11:05 #5
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11th August 2019, 05:13 #6
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Re: problem: coupling coefficient for two hairpin resonators
Hi niki
thanks for the advice about the resonators to be weakly coupled. I changed the feed positions and I got the two resonant peaks:
regarding the book you mentioned: I had seen this book and actually I was trying to obtain the same result which you showed here (figure 8.16). I used the values mentioned in the book, page 265:
this is how I placed the feed
which is similar to what was shown in the book:
and this is my simulation file:
lancaster_CH8_coupling_eda.rar
as you said i tried to weaken the coupling by moving the feed towards the center, as was mentioned in the book:
"... the coupling or the external quality factor is controlled by the tapping position t, the smaller the t, the weaker is the coupling coefficient ( or a larger external quality factor)..."
but this is what I get
as you can see there is no coupling at S=2, and there is coupling for S=1mm and S=0.5 mm. I can't get the sharp peak shown in figure 8.16. any ideas ?
I guess there is something wrong with the feed again. should the width of the feed be less than the width of the open ring resonator?

11th August 2019, 21:22 #7
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12th August 2019, 06:20 #8

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12th August 2019, 11:26 #9
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Re: problem: coupling coefficient for two hairpin resonators
I used copper for conductors and other properties are those mentioned in the book. maybe the results shown in the book are for a slightly different structure. I'll try to set all losses to zero and see what will happen.
   Updated   
those results are fine. As you make the gap smaller, the peaks distance becomes larger which results in a larger coupling coefficient (the resonators have a greater effect on each other). but still your results are different from those of the book, both in magnitude and peak frequencies. so I am coming the conclusion that the results shown in figure 8.16 belong to a different but similar structure.
thanks for simulating the structure.

12th August 2019, 11:59 #10
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Re: problem: coupling coefficient for two hairpin resonators
I think the results of that textbook in fig 8.16 are theoretical or analytical not EM simulated.Otherwise the peaks cannot be so sharp in practical world.
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