Photonic band effects in a two-dimensional array of dielectric spheres in the millimeter-wave region

Ohtaka, K.; Suda, Yosuke; Nagano, Shingo; Ueta, Tsuyoshi; Imada, A.; Koda, T.; Bae, Jongsuck; Mizuno, Koji; Yano, S.; Segawa, Y.

doi:10.1103/physrevb.61.5267

Cited by 72 publications

(36 citation statements)

References 35 publications

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“…The solid lines in Fig. 16 indicate the results obtained by Ohtaka et al [21], while Â indicate the results obtained with the present formulation.…”

Section: Single Layer Of Spheres (Oblique Incidence)mentioning

confidence: 76%

A periodic FMM for Maxwell’s equations in 3D and its applications to problems related to photonic crystals

Otani

Nishimura

2008

Journal of Computational Physics

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“…The solid lines in Fig. 16 indicate the results obtained by Ohtaka et al [21], while Â indicate the results obtained with the present formulation.…”

Section: Single Layer Of Spheres (Oblique Incidence)mentioning

confidence: 76%

A periodic FMM for Maxwell’s equations in 3D and its applications to problems related to photonic crystals

Otani

Nishimura

2008

Journal of Computational Physics

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“…The electrical field distribution corresponding to this resonance (dip H) in both studied compactness (Figures 7(a) and 7(b)) is almost identical to the one of TM 11 Mie mode, shown in Figure 7(c). Therefore can be attributed the origin of dip H to TM 11 [16]. The analysis based on the internal electric-field distribution of the photonic bands from a monolayer, shows results coherent with the isolated sphere and tight-binding description.…”

Section: Resultsmentioning

confidence: 51%

Electric-Field Distributions of Dielectric Single Layers of Spheres With Different Compactness

Andueza¹,

Morales²,

Sevilla³

2012

PIER M

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Abstract-The internal electric-field distribution from single layers of dielectric spheres with high refractive index (n = 2.65) has been analyzed for a number of different compactness cases by FDTD (FiniteDifference Time-Domain) method. The field distributions from the transmission spectra were compared with the internal electric-field distribution of the Mie modes of an isolated sphere. In general, the agreement is very good in almost all cases studied. The results show that TE and TM Mie modes are the origin of the resonances in the transmission spectra of the single layers. The resonances of the monolayer attributed to TE 11 and TM 11 Mie modes are only excited for compactness values lower than 0.38, suggesting a dependence of periodical arrangement effects for these modes. Moreover, the field distribution corresponding to some of the dips in the spectrum cannot be directly attributed to Mie modes (TE 21 ). The result indicates these are formed by degenerated or weakly coupled Mie modes induced by the periodic structure.

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“…the variable-angle reflectance method (VAR), which is also termed the surface-coupling technique, was first introduced in obtaining band structures of photonic lattices by Astratov [13] and proved to be effective [10,12,14]. However, sometimes some bands do not lead to resonances in the reflection and transmission spectra due to restrictions of symmetry [15]. Two types of PhCS are studied in the following, and the dielectric constant of the cladding layer of case 1 is lower than that of case 2.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Analysis of leaky modes of photonic crystal slabs with deeply patterned lattice

Zeng¹,

Zhu²,

Qian³

et al. 2006

J. Opt. A: Pure Appl. Opt.

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We demonstrate that leaky modes can be observed in asymmetrical photonic crystal slabs on low-index and high-index substrates. The reflective spectra are studied using the scattering-matrix method, and bands of the leaky modes are obtained via the surface-coupling technique. Caused by the lack of the vertical translational symmetry, the transverse electric (TE)-polarized incidence is reflected into light containing a transverse magnetic (TM) component when the incident plane does not possess mirror symmetry, although the conversion efficiency is weak. This phenomenon, i.e. polarization conversion, is studied in detail.

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Photonic band effects in a two-dimensional array of dielectric spheres in the millimeter-wave region

Cited by 72 publications

References 35 publications

A periodic FMM for Maxwell’s equations in 3D and its applications to problems related to photonic crystals

A periodic FMM for Maxwell’s equations in 3D and its applications to problems related to photonic crystals

Electric-Field Distributions of Dielectric Single Layers of Spheres With Different Compactness

Analysis of leaky modes of photonic crystal slabs with deeply patterned lattice

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