Equivalent circuit of a cavity coupled to a feeding line and its dependence on the electric or magnetic nature of output coupling structure

Couffignal, P.; Obregon, J.; Baudrand, H.

doi:10.1049/ip-h-2.1992.0041

Cited by 5 publications

(3 citation statements)

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“…where k mi is the electric coupling coefficient [18,19], and less than or equal to one. It seems at first glance that there is the redundant element in Figure 1c, but it is really the most practical configuration.…”

Section: Three Element Resonatormentioning

confidence: 99%

“…The circuit parameters satisfy the following relations.

\left\{\begin{array}{l}{C}_{0}^{(i)}={C}_{0,2i}+{C}_{2i},\quad {\omega }_{2i}^{2}=\frac{1}{{L}_{2i}{C}_{2i}}=\frac{1}{{L}_{2}^{(i)}{C}_{2}^{(i)}},\quad \hfill \\ {k}_{\mathrm{m}i}=\sqrt{\frac{{C}_{2i}}{{C}_{2i}+{C}_{0,2i}}}=\frac{{C}_{\mathrm{m}}^{(i)}}{\sqrt{{C}_{0}^{(i)}{C}_{2}^{(i)}}}\quad \hfill \end{array}\right.

{Y}_{\mathrm{t}}^{(i)}=s{C}_{0}^{(i)}\left(\left(1-{k}_{\mathrm{m}i}^{2}\right){s}^{2}+{\omega }_{2i}^{2}\right)/\left({s}^{2}+{\omega }_{2i}^{2}\right)

where k m i is the electric coupling coefficient [18, 19], and less than or equal to one.…”

Section: Three Element Resonator Lowpass Prototype Filtermentioning

confidence: 99%

See 1 more Smart Citation

Three element resonator lowpass filter

Wang

Chen

2023

IET Microwaves Antenna & Prop

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The conventional lowpass prototype filter with the finite transmission zeros close‐to‐band edge often yields negative circuit elements that lead to a practical difficulty of physical realizations. This paper presents an alternative topology of the lowpass prototype filter named three element resonator lowpass filter, which is composed of series inductances and shunt three element resonators. For one‐section three element resonator lowpass filter, the closed‐form solutions of the non‐negative circuit elements are deduced based on its characteristic function recovered from a prescribed transmission zero. For multi‐section one, the associated numerical synthesis procedure using gradient‐based optimization is presented. In physical realization, a much more practical configuration of three element resonator is proven by the equivalent circuit transformation. A synthesis example of lowpass prototype filter with 12 pairs of transmission zeros illustrates the effectiveness of the numerical synthesis method. Also, a design example of five‐section three element resonator lowpass filter, which has a passband up to 1775 MHz, is implemented by the distributed elements based on its prototype circuit of the numerical synthesis. The measured results of the fabricated lowpass filter experimentally validate the prototype filter.

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Section: Three Element Resonatormentioning

confidence: 99%

“…The circuit parameters satisfy the following relations.

\left\{\begin{array}{l}{C}_{0}^{(i)}={C}_{0,2i}+{C}_{2i},\quad {\omega }_{2i}^{2}=\frac{1}{{L}_{2i}{C}_{2i}}=\frac{1}{{L}_{2}^{(i)}{C}_{2}^{(i)}},\quad \hfill \\ {k}_{\mathrm{m}i}=\sqrt{\frac{{C}_{2i}}{{C}_{2i}+{C}_{0,2i}}}=\frac{{C}_{\mathrm{m}}^{(i)}}{\sqrt{{C}_{0}^{(i)}{C}_{2}^{(i)}}}\quad \hfill \end{array}\right.

{Y}_{\mathrm{t}}^{(i)}=s{C}_{0}^{(i)}\left(\left(1-{k}_{\mathrm{m}i}^{2}\right){s}^{2}+{\omega }_{2i}^{2}\right)/\left({s}^{2}+{\omega }_{2i}^{2}\right)

where k m i is the electric coupling coefficient [18, 19], and less than or equal to one.…”

Section: Three Element Resonator Lowpass Prototype Filtermentioning

confidence: 99%

Three element resonator lowpass filter

Wang

Chen

2023

IET Microwaves Antenna & Prop

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“…Additionally, inductive coupling with and capacitive coupling with simplify to circuit forms typical for loop- and probe-coupled microwave cavities ( Fig. 6(d) and (e) , respectively) [13] , [28] .…”

Section: Coupling With External Systemsmentioning

confidence: 99%

Paul Drude's Prediction of Nonreciprocal Mutual Inductance for Tesla Transformers

McGuyer

2014

PLoS ONE

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Inductors, transmission lines, and Tesla transformers have been modeled with lumped-element equivalent circuits for over a century. In a well-known paper from 1904, Paul Drude predicts that the mutual inductance for an unloaded Tesla transformer should be nonreciprocal. This historical curiosity is mostly forgotten today, perhaps because it appears incorrect. However, Drude's prediction is shown to be correct for the conditions treated, demonstrating the importance of constraints in deriving equivalent circuits for distributed systems. The predicted nonreciprocity is not fundamental, but instead is an artifact of the misrepresentation of energy by an equivalent circuit. The application to modern equivalent circuits is discussed.

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