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Accurate Resonant Frequencies of Dielectric Resonators

IEEE Transactions on Microwave Theory and Techniques, 1977
The applications of dielectric resonators are currently of considerable interest in microwave integrated circuits. The design of a dielectric resonator depends on its natural resonant frequencies. Since exact solutions of dielectric rectangular and cylindrical resonators cannot be rigorously computed a new and more accurate method has been developed to
P. Guillon, Y. Garault
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Resonant frequencies of cylindrical Helmholtz resonators

The Journal of the Acoustical Society of America, 1975
A simple analysis predicts the Helmholtz and higher modes of cylindrical resonators. Formulas for the quarter-wave tube, the closed tube, and the classic Helmholtz resonator are special cases. It is found that the classic Helmholtz formula begins to lose accuracy for resonator lengths L≳λ/16.
Ronald L. Panton, John M. Miller
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Resonant Frequencies of Rectangular Dlekctric Resonators

IEEE Transactions on Microwave Theory and Techniques, 1980
The resonant frequencies of isolated dielectric resonators of rectangular shape are calculated using the dielectric waveguide model. The waveguide treatment of the rectangular dielectric rod is solved using the approximate semianalytical techniques of Marcatili, Knox, and Toulios.
J.F. Legier   +3 more
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Resonant lines for frequency control

Electrical Engineering, 1935
Vacuum tube oscillators for radio frequency signals above 25 megacycles may be controlled with a high degree of precision by resonant lines, and at lower frequencies may be used to obtain a larger power output than is obtainable from crystal oscillators.
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Resonant Frequency of Slotted Ring Resonator

30th European Microwave Conference, 2000, 2000
The slotted ring resonator has some promising features for the realisation of compact microwave filters. For the first time, using the finite difference technique and conformal mapping method, the effects of geometrical parameters (i.e.: the resonator length, inner radius, gap width and wall thickness) on the resonant frequency of this resonator, are ...
Dariush Mirshekar-Syahkal   +2 more
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The drive level dependence of the resonant frequency of high frequency quartz resonators

Proceedings of CAOL'2003. 1st International Conference on Advanced Optoelectronics and Lasers. Jontly with 1st Workshop on Precision Oscillations in Electronics and Optics (IEEE Cat. No.03EX715), 2004
The drive level dependence of frequency, which comes from the nonlinear effects of the quartz material, is related to the amplitude of strain in the quartz resonator. High stability, and high frequency resonators are designed in such a way the vibration is trapped in the center of the vibrating plate.
R. Bourquin, J.-J. Boy
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Resonant Frequencies of the Nosed-In Cavity

Journal of Applied Physics, 1946
In this paper the resonant frequency of the nosed-in cavity is studied as a function of the cavity dimensions. Maxwell's differential equations and boundary conditions are converted into an integral equation which is solved approximately by the Ritz variational method.
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Acoustic resonance frequencies of deformed spherical resonators. II

The Journal of the Acoustical Society of America, 1982
The effects of imperfect spherical shape on the modes of a spherical acoustic resonator are considered. The resonator boundary is described by a series of spherical harmonics r=a+εa∑ clkYlk, where ε is a small parameter. It is convenient to summarize the results by considering deformations which do not change the resonator volume.
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Spectrum of the resonant frequencies of the nonuniform resonators

10th International Conference on Mathematical Methods in Electromagnetic Theory, 2004., 2005
Abstracf - The application of Maxwell equations for the analysis of spectrum modes in the heterogeneous structures has been investigated. Existence of an addition spectrum of own frequencies has been considered. At computation of own frequencies of heterogeneous resonators they usually come from problem of the own values for the differential equation ...
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Resonant Frequency Avoidance

SAE Technical Paper Series, 2015
<div class="section abstract"><div class="htmlview paragraph">One major problem that any product (say Motor, engines etc.) which converts electrical energy into a mechanical energy would have is resonance. It has tendency to damage any material when the products operating frequency matches the resonant frequency.</div><div class ...
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