Perturbation Theory in the Design of Degenerate Spherical Dielectric Resonators

Warne, Larry K.; Basilio, Lorena I.; Langston, William L.; Johnson, William A.; Sinclair, Michael B.

doi:10.1109/tap.2012.2232631

Cited by 14 publications

(30 citation statements)

References 27 publications

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“…This result is similar to that of the sphere given in [20] and not too much different from the original estimate (25) (where we changed the state of the material in the split).…”

Section: Dielectric Cutssupporting

confidence: 87%

“…As in [10,20,21], we use the far-field scattered patterns to extract the dipole moments of the isolated resonator. The scattered patterns sampled at each of the wavelengths identified from Fig.…”

Section: Results For the Unperturbed Rectangular Resonatormentioning

confidence: 99%

“…This type of perturbation has the effect of shifting the electric resonance downward in frequency toward the first magnetic mode. Whereas we are using these inclusions to obtain single-particle degeneracy (as in [20,21] for spherical resonator designs), it should be noted that inclusions of this type have been used previously to establish gradient properties for a lens design [27]. Figure 11.…”

Section: Inclusions and Placementmentioning

confidence: 99%

“…If the rectangular resonator is split in half and the halves are separated by a region of ε p (instead of a change of state of the material in the cutout) we need to include the magnetic energy for an introduced volume rather than a change in the material state [20,31] …”

Section: Dielectric Cutsmentioning

confidence: 99%

“…The lowest modes are selected in order to keep the resonator as electrically small as possible. (In [20], a similar approach is presented for spherical dielectric resonators.) Here we focus on rectangular resonators since infrared is the frequency band of interest and these resonators are easier to fabricate by lithographic techniques in this frequency range (as in the visible band).…”

Section: Introductionmentioning

confidence: 99%

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Perturbation Theory in the Design of Degenerate Rectangular Dielectric Resonators

Warne¹,

Basilio²,

Langston³

et al. 2012

PIER B

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Abstract-The design of resonators with degenerate magnetic and electric modes usually requires the ability to perturb one or both types of modes in order to induce alignment of magnetic and electric properties. In this paper perturbation theory is used to identify different types of inclusions that can be used to realize fundamentalmode degeneracy in a rectangular dielectric resonator and thus, can ultimately be used in the design of negative-index metamaterials. For reasons associated with fabrication in the infrared-frequency regime, rectangular resonator designs are of particular interest.

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“…This result is similar to that of the sphere given in [20] and not too much different from the original estimate (25) (where we changed the state of the material in the split).…”

Section: Dielectric Cutssupporting

confidence: 87%

Section: Results For the Unperturbed Rectangular Resonatormentioning

confidence: 99%

Section: Inclusions and Placementmentioning

confidence: 99%

Section: Dielectric Cutsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Perturbation Theory in the Design of Degenerate Rectangular Dielectric Resonators

Warne¹,

Basilio²,

Langston³

et al. 2012

PIER B

Self Cite

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Dipole Approximation to Predict the Resonances of Dimers Composed of Dielectric Resonators for Directional Emission

2017

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In this paper we develop a fully retarded, dipole approximation model to estimate the effective polarizabilities of a dimer made of dielectric resonators. They are computed from the polarizabilities of the two resonators composing the dimer. We analyze the situation of full cubes as well as split cubes, which have been shown to exhibit overlapping electric and magnetic resonances. We compare the effective dimer polarizabilities to ones retrieved via full‐wave simulations as well as ones computed via a quasi‐static, dipole approximation. We observe good agreement between the fully retarded solution and the full‐wave results, whereas the quasi‐static approximation is less accurate for the problem at hand. The developed model can be used to predict the electric and magnetic resonances of a dimer under parallel or orthogonal (to the dimer axis) excitation. This is particularly helpful when interested in locating frequencies at which the dimer will emit directional radiation.

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Full-wave simulation of a three-dimensional metamaterial prism

Basilio

Langston

Warne

et al. 2015

Microw. Opt. Technol. Lett.

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In this article, a negative‐index metamaterial prism based on a composite unit cell containing a split‐ring resonator and a z‐dipole is designed and simulated. The design approach combines simulations of a single unit cell to identify the appropriate cell design (yielding the desired negative‐index behavior) together with subcell modeling (which simplifies the mesh representation of the resonator geometry and allows for a larger number of resonator cells to be handled). In addition to describing the methodology used to design a n = −1 refractive index prism, results including the effective‐medium parameters, the far‐field scattered patterns, and the near‐zone field distributions corresponding to a normally incident plane‐wave excitation of the prism are presented. © 2015 Wiley Periodicals, Inc. Microwave Opt Technol Lett 57:537–540, 2015

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Perturbation Theory in the Design of Degenerate Spherical Dielectric Resonators

Cited by 14 publications

References 27 publications

Perturbation Theory in the Design of Degenerate Rectangular Dielectric Resonators

Perturbation Theory in the Design of Degenerate Rectangular Dielectric Resonators

Dipole Approximation to Predict the Resonances of Dimers Composed of Dielectric Resonators for Directional Emission

Full-wave simulation of a three-dimensional metamaterial prism

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