The Influence of Conducting Walls on Resonant Frequencies of the Dielectric Microwave Resonator (Correspondence)

Fiedziuszko, S.J.; Jelenski, A.

doi:10.1109/tmtt.1971.1127629

Cited by 36 publications

(13 citation statements)

References 4 publications

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“…R), we have (15) or Green function formalism (16); and (ii) simple and outside of the dielectric (ÉzÉ ú h/2, r õ R) approximate models (2,(17)(18)(19), in which the field distribu-…”

Section: For Single and Double-stacked Drsmentioning

confidence: 99%

See 1 more Smart Citation

Double-Stacked Dielectric Resonator for Sensitive EPR Measurements

Jaworski

Sienkiewicz

Scholes

1997

Journal of Magnetic Resonance

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“…R), we have (15) or Green function formalism (16); and (ii) simple and outside of the dielectric (ÉzÉ ú h/2, r õ R) approximate models (2,(17)(18)(19), in which the field distribu-…”

Section: For Single and Double-stacked Drsmentioning

confidence: 99%

“…ture (2,(17)(18)(19) one can find equations that are formally So far we have considered the fields outside of the DR equivalent to Eq. [3], but with different boundary conditions disk to vanish exponentially for ÉzÉ ú h/2.…”

Section: For Single and Double-stacked Drsmentioning

confidence: 99%

Double-Stacked Dielectric Resonator for Sensitive EPR Measurements

Jaworski

Sienkiewicz

Scholes

1997

Journal of Magnetic Resonance

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“…2(b)]. The calculation starts with the Helmholtz vector equation (quasi-stationary oscillations) (19,20):…”

Section: Theorymentioning

confidence: 99%

“…The solution of [2] is described in detail elsewhere (19,20), so we give here only the final expressions, which were used in the calculations. Note that obtained characteristic equations define the resonance frequency and take into account the dependence of the transverse wave numbers on the resonator parameters.…”

Section: Theorymentioning

confidence: 99%

Optimization of ferroelectric resonators for enhanced EPR sensitivity

Geǐfman¹,

Головина

2005

Concepts Magn. Reson.

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ABSTRACT:A new optimized geometry of ferroelectric resonators (FR) is proposed for increased signal-to-noise ratio in EPR spectrometers. To develop optimization criteria, the distribution of the microwave magnetic field in the FR is computed and analyzed. The computations, based on the solution of Maxwell's field equations, were made for two types of cylindrical FRs: a hollow sample hole and a blind sample hole. To introduce the samples, each hole was drilled through the resonator along the axis of the FR. Microwave coupling is achieved by placing the FR into the center of a standard cylindrical TE 011 cavity, with the FR coaxial to the microwave magnetic field. The results indicate that the size of a sample hole affects the microwave magnetic field immensely: 1) the smaller the sample hole diameter, the higher microwave field will be; 2) the depth of the sample hole of the blind type plays an important role in the efficiency of the FR and its optimized value is half the length of the FR.

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“…For example, this was done through out the derivation of the eigenmodes of two stacked dielectric resonators [10]- [12] which was based on the Cohn model [13]. For other resonators, such as loop gaps and split rings, analytical models are unavailable or are very complex, and one usually resorts to numerical techniques.…”

mentioning

confidence: 99%

Coupled Mode Theory Applied to Resonators in the Presence of Conductors

Elnaggar

Tervo

Mattar

2015

IEEE Trans. Microwave Theory Techn.

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Using the method of images, Energy Coupled Mode Theory (ECMT), a coupled mode equation in the frequency domain, is extended to deal with important cases where resonators are in close proximity to conducting surfaces. Depending on the type of conductors and the orientation of the resonators, the method of images determines the relative phases of the images. Using the formed images, the coupled frequencies and fields can be determined by applying ECMT. Two cases are studied. In the first case, it is shown that a dielectric resonator inserted in a cavity couples with both the mirror image and the cavity. The frequency behavior is described by the interaction with the image which counteracts that with the cavity. The second case is that of resonators sandwiched between conducting plates. It is shown that an infinite array of stacked images is formed. The coupling of the resonator with its images determines the coupled frequencies and fields. In this context, the main advantage of ECMT is its ability to separate the effects of the walls from the uncoupled system. This means that the system parameters are independent of the separation distances and/or the type of conductors, which renders the post processing analyses easier and predictable. Provided that the behaviors of the uncoupled resonators are known, ECMT is general and can be applied to more complex systems.

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The Influence of Conducting Walls on Resonant Frequencies of the Dielectric Microwave Resonator (Correspondence)

Cited by 36 publications

References 4 publications

Double-Stacked Dielectric Resonator for Sensitive EPR Measurements

Double-Stacked Dielectric Resonator for Sensitive EPR Measurements

Optimization of ferroelectric resonators for enhanced EPR sensitivity

Coupled Mode Theory Applied to Resonators in the Presence of Conductors

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