Accurate Resonant Frequencies of Dielectric Resonators

Guillon, P.; Garault, Y.

doi:10.1109/tmtt.1977.1129241

Cited by 80 publications

(29 citation statements)

References 8 publications

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“…On the other hand, solution of the self-adjoint problem with the linear input of the eigenvalue k −2 , i.e., the problem for the Green's function at k = 0, by the above-considered methods yields values almost coinciding with those in [12]. The frequencies from [12] were compared with the experiment from [11] and turn out to be slightly lower than the experimental values. For example, in [11] the corresponding value of the frequency is 5.372 GHz.…”

Section: Numerical Resultsmentioning

confidence: 94%

“…The frequencies from [12] were compared with the experiment from [11] and turn out to be slightly lower than the experimental values. For example, in [11] the corresponding value of the frequency is 5.372 GHz. This value was defined as the forced-resonance frequency, which, as is known, is higher than the resonance eigenfrequency.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Expansion of the Green's function in a series over −jkR, where R = |r − r |, serves as initial for Eq. (11). For the quadratic functional in the lowest-order approximation N = 0 we have…”

Section: Iteration Algorithmsmentioning

confidence: 99%

“…The methods of DR analysis, both analytical and numerical, have also been considered in a number of monographs, e.g., in [1][2][3][4][5][6][7][8], and in a number of papers, in particular, in [10][11][12][13][14][15][16][17][18][19][20]. Some applications of a DR for different purposes are also specified there.…”

Section: Introductionmentioning

confidence: 99%

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Iteration methods and algorithms for dielectric-resonator integral equations of the field

Давидович

Stefyuk

2010

Radiophys Quantum El

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Quasi-eigenmodes of open cylindrical and rectangular dielectric resonators (DRs) are determined by the method of iterative solution of the volume integral and integro-differential equations with corresponding functionals. New forms of equations and iteration algorithms for the nonlinear input of the desired complex parameter are proposed. Frequencies and Q-factors of the H 01δ and H 011 modes of a cylindrical DR and the H mode of a rectangular DR for the uniform and nonuniform cases are obtained numerically. The influence of a thin semiconductor layer located at the ends of the DR and irradiated by high-power laser pulses on the frequencies and Q-factors of the DR modes is examined. It is shown that an up to ten or more percent tuning of resonant frequencies can be reached by transformation of a low conducting state to a high conducting state.

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Section: Numerical Resultsmentioning

confidence: 94%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Iteration Algorithmsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Iteration methods and algorithms for dielectric-resonator integral equations of the field

Давидович

Stefyuk

2010

Radiophys Quantum El

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“…15,16 Indeed, walls of HPR may be approximated as perfect magnetic conductors. The modes considered here are transverse electric ͑TE͒, that is, the magnetic field is along the axis of the cylinders.…”

Section: Experimental Measurement Of Negative Index In An All-dielectmentioning

confidence: 99%

Experimental measurement of negative index in an all-dielectric metamaterial

Lepetit¹,

Akmansoy²,

Ganne³

2009

Applied Physics Letters

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Application of GIBCs to the computation of resonant frequencies for uniaxial cylindrical resonators

Kong

Beker

1996

Microw. Opt. Technol. Lett.

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18) can be recast as L for easy calculations. Another way to express (20) is , (21) 0 Aexmi *[ :b] [ eir e -l a b z ] [ Bex,.,]where A,,,,, and B, , , , , are coefficients to be determined by boundary and/or excitation conditions. CONCLUDING REMARKSThus, we have derived expressions for the ordinary and the extraordinary modes propagating in the xz plane of a PBN medium. The ordinary modes are unaffected by the anisotropy and the periodic inhomogeneity of the PBN medium, but the extraordinary modes are. Simple expressions for the extraordinary modes have been found. These are applicable when the anisotropy parameter is small in magnitude. We expect PBNTFs to become important in the context of sculptured thin films for optical applications [12]. ABSTRACT Numerical analysis for computing resonant frequencies of uniaxially anisotropic cylindrical resonators is presented. The resonator is placed on a grounded isotropic substrate and is couered with a metallic tuning plate. The generalized impedance boundary conditions are employed along the axis of the resonator to simplify the boundary-calue problem. Ample numerical results are presented, explicitly showing the dependence of the resonant frequency on the variation in the elements of the permitticity tensor. 0 1996 John Wilqy & Sons, Inc.

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Accurate Resonant Frequencies of Dielectric Resonators

Cited by 80 publications

References 8 publications

Iteration methods and algorithms for dielectric-resonator integral equations of the field

Iteration methods and algorithms for dielectric-resonator integral equations of the field

Experimental measurement of negative index in an all-dielectric metamaterial

Application of GIBCs to the computation of resonant frequencies for uniaxial cylindrical resonators

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