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Different coupling configurations. (a) Magnetic coupling. (b) Electric coupling. (c) Mixed coupling. (d) External coupling.  

Different coupling configurations. (a) Magnetic coupling. (b) Electric coupling. (c) Mixed coupling. (d) External coupling.  

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Article
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The miniaturization of conventional ring resonators is demonstrated by forcing a voltage minimum at one end of the resonator. In addition, the resonator is loaded with a capacitance to achieve further miniaturization and reducing its sensitivity to substrate thickness tolerance. The final resonator is 73% smaller than a conventional ring resonator...

Contexts in source publication

Context 1
... achieve the required positive coupling between resonators 2 and 3, the configuration of Figure 4(a) is utilized, where the magnetic coupling is dominant. For the negative coupling between resonators 1 and 4 the configuration of Figure 4(b) is used which has an electrical coupling. ...
Context 2
... achieve the required positive coupling between resonators 2 and 3, the configuration of Figure 4(a) is utilized, where the magnetic coupling is dominant. For the negative coupling between resonators 1 and 4 the configuration of Figure 4(b) is used which has an electrical coupling. For resonators 1-2 and 3-4, the configuration of Figure 4(c) is used with mixed coupling. ...
Context 3
... the negative coupling between resonators 1 and 4 the configuration of Figure 4(b) is used which has an electrical coupling. For resonators 1-2 and 3-4, the configuration of Figure 4(c) is used with mixed coupling. In order to extract the filter parameters from the coupling coefficients, a simulation in [11] is performed by weakly coupling the resonators to the feed lines as shown in Figure 5. ...

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Citations

... Due to the large size of these resonators, different techniques have been suggested in the literature to achieve miniaturization. In [1], a miniaturization technique is proposed where the size reduction is about 50%; this is accomplished by means of a via to ground, that forces, the resonant mode, to have a voltage minimum at one end of the resonator. In [2], the size filter reduction is accomplished with the use of additional coupling structures (Double U-type Coupling Structure, DUCS); these structures reduce the required spacing for an established coupling factor between each pair of resonators; in consequence, smaller filters can be achieved. ...
... Due to the large size of these resonators, different techniques have been suggested in the literature to achieve miniaturization. In [1], a miniaturization technique is proposed where the size reduction is about 50%; this is accomplished by means of a via to ground, that forces, the resonant mode, to have a voltage minimum at one end of the resonator. In [2], the size filter reduction is accomplished with the use of additional coupling structures (Double U-type Coupling Structure, DUCS); these structures reduce the required spacing for an established coupling factor between each pair of resonators; in consequence, smaller filters can be achieved. ...
Article
A novel 3-pole bandpass filter (BPF) based on microstrip loaded ring resonators (LRRs) is proposed. Each resonator comprises a closed-loop transmission line and a short-circuited stub. By properly adjusting the impedance and the electrical length of each resonator, the proposed circuit may be made compact (over 93.7% smaller than a conventional ring resonator) and its stopband may be extended simultaneously. Each resonator exhibits an area of 0:0727λg× 0:079λg, where λg is the guided wave length. A BPF at the center frequency of f0 = 1:9 GHz with stopband extended up to 7.8 GHz (= 4f0) is developed showing good agreement between simulation and experimental results.
Article
We present a novel concept of a modulated transmission line: a low-pass dynamic transmission line (DTL) whose capacitors are replaced by varactors that are externally modulated in tandem. The modulation voltages are periodic in time and identical in all the unit cells (and there is no pump wave). Accurate modeling leads to two bands, β <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> (ω) and β <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> (ω) for the propagation constant, separated by a gap Aβ. We have fabricated an eight-cell DTL and measured β <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1,2</sub> (ω) for a range of frequencies of the signal wave up to the modulation frequency f <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">M</sub> = 310 MHz, finding very good agreement between the experimental and theoretical results. These are also compared with an effective medium description, with the dynamic permittivity ε(t) being equal to the distributed capacitance C(t)/a at every instant t and the permeability μ equal to the distributed inductance L/a, where a is the size of the unit cell. There is good agreement for long wavelengths, βa ≲ 1, including the β-gap, which, for negligible resistive effects, is proportional to the modulation strength. Such gaps are characteristic of periodicity in time of a parameter and were predicted for “temporal photonic crystals.” We have also confirmed experimentally that for every frequency f , a harmonic of frequency f <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">M</sub> - f is excited, giving rise to beats when f ≅ f <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">M</sub> /2. We expect these experimental and theoretical results to open a new platform for useful applications.