A Quick and Easy Simulation Procedure to Aid in Metamaterial Unit-Cell Design

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

doi:10.1109/lawp.2011.2171470

Cited by 15 publications

(23 citation statements)

References 4 publications

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“…Figure 2 shows the simulation result (using the global coordinate system) for the magnetic field (H x ) distribution within a dielectric cube with ε r = ε 2 /ε 1 = 32 and 2a = 1.53 µm at a resonant wavelength of 10.57 µm and k y = k z ≈ 1.06π/(2a), as well as k x ≈ 0.68π/(2a). This numerical simulation result is obtained by employing a symmetric magnetic excitation of an isolated dielectric cube as described in [10]. We note that the normalized simulated wavenumber (0.68) in the direction of the incident magnetic field is close to the one-dimension waveguide prediction of 0.70.…”

Section: Waveguide Methods For First Magnetic Modesupporting

confidence: 58%

“…In Fig. 3 the simulated electric field distributions along the y and z directions of the PbTe cube are presented and clearly illustrate the near-magnetic wall The interior magnetic field generated by a symmetric excitation [10] of a single PbTe half-cube resonator with the reduced dimension occurring in the direction of propagation (2b → a in the local coordinate system, but 2c → a in the global coordinate system) is shown in Fig. 4.…”

Section: Waveguide Methods For First Magnetic Modementioning

confidence: 98%

“…In addition to the selective placement of resonances, remaining in the effective material limit (with diffraction suppressed [2][3][4][5][6]) is another goal in these types of metamaterial applications. Often times unit cells containing metallic split-ring resonators (yielding the magneticallyresonant component [7]) and loaded dipoles (yielding the electricallyresonant component [8][9][10]) are used in constructing negative-index metamaterials since they can be small and still attain both negative permittivity and permeability. In these cases, tuning of the electric and magnetic resonances is achieved through the design of the respective resonators.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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Section: Waveguide Methods For First Magnetic Modesupporting

confidence: 58%

Section: Waveguide Methods For First Magnetic Modementioning

confidence: 98%

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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“…Similarly, a transverse electric dipole in very close proximity to an electric mirror finds itself at the node of the total electric field under plane wave illumination and cannot efficiently absorb incoming radiation, whereas an electric dipole placed near a magnetic mirror is located at the antinode of the total electric field and can absorb efficiently. As a result, optical magnetic mirror behavior has been studied extensively at microwave frequencies for efficient, compact microwave circuits and antennas [3][4][5][6] . To demonstrate that these 7 advantages can also be obtained at optical frequencies, we utilized FDTD simulations to generate maps of the total electric field at both the electric and magnetic resonance wavelengths of the OMM and compared them to the total field maps obtained for a conventional gold mirror.…”

mentioning

confidence: 99%

“…In contrast, a dipole placed close to a metal surface experiences a node of the total electric field and can neither absorb nor emit efficiently. At microwave frequencies these exceptional properties of magnetic mirrors have been utilized for smaller, more efficient antennas and circuits [3][4][5][6] . Magnetic mirrors can also exhibit unusual behavior in the far-field, through the appearance of a "magnetic Brewster's angle" at which the reflection of an s-polarized wave vanishes 7,8 .…”

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confidence: 99%

Optical magnetic mirrors without metals

Liu

Sinclair

Mahony

et al. 2014

Optica

198

151

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The reflection of an optical wave from a metal, arising from strong interactions between the optical electric field and the free carriers of the metal, is accompanied by a phase reversal of the reflected electric field. A far less common route to achieve high reflectivity exploits strong interactions between the material and the optical magnetic field to produce a "magnetic mirror" which does not reverse the phase of the reflected electric field. At optical frequencies, the magnetic properties required for strong interaction can only be achieved through the use of artificially tailored materials. Here we experimentally demonstrate, for the first time, the magnetic mirror behavior of a low-loss, all-dielectric metasurface at infrared optical frequencies through direct measurements of the phase and amplitude of the reflected optical wave. The enhanced absorption and emission of transverse electric dipoles placed very close to magnetic mirrors can lead to exciting new advances in sensors, photodetectors, and light sources. 2Magnetic mirrors or high impedance surfaces were first proposed at microwave frequencies 1 . An important advantage of these mirrors is that a transverse electric dipole placed close to the mirror surface is located at an antinode of the total (incident plus reflected) electric field and, hence, can absorb and emit efficiently 2 . In contrast, a dipole placed close to a metal surface experiences a node of the total electric field and can neither absorb nor emit efficiently. At microwave frequencies these exceptional properties of magnetic mirrors have been utilized for smaller, more efficient antennas and circuits [3][4][5][6] . Magnetic mirrors can also exhibit unusual behavior in the far-field, through the appearance of a "magnetic Brewster's angle" at which the reflection of an s-polarized wave vanishes 7,8 .At optical frequencies, magnetic behavior can only be achieved through the use of artificially tailored materials and, as a result, relatively little work on optical frequency magnetic mirrors has been reported thus far. Recent investigations of magnetic mirror behavior at optical frequencies have utilized metallic structures such as fish-scale structures 9 and gold-capped carbon nanotubes 10 . However, the metals utilized in these approaches suffer from high intrinsic Ohmic losses at optical frequencies. Alldielectric metamaterials, based upon subwavelength resonators, with much lower optical losses and isotropic optical response have been used to demonstrate fascinating properties in a number of recent investigations [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] . In another recent work, magnetic mirror behavior was theoretically predicted for silicon dielectric resonators in the near infrared 26 . Although the reflection amplitude spectrum was measured in this work, no experimental phase measurements were achieved. In principle, this work is the same as our previous work 12 that only showed high reflectivity at the magnetic dipole resonance, which is a necessary but not...

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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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A Quick and Easy Simulation Procedure to Aid in Metamaterial Unit-Cell Design

Cited by 15 publications

References 4 publications

Perturbation Theory in the Design of Degenerate Rectangular Dielectric Resonators

Perturbation Theory in the Design of Degenerate Rectangular Dielectric Resonators

Optical magnetic mirrors without metals

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

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