Localized modes in defect-free dodecagonal quasiperiodic photonic crystals

Wang, Yiquan; Hu, Xiaoyong; Xu, Xingsheng; Cheng, Bingying; Zhang, Daozhong

doi:10.1103/physrevb.68.165106

Cited by 75 publications

(50 citation statements)

References 36 publications

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“…[14].This result is fully consistent with the analysis made in Ref. [15]: Localized modes may appear due to the non-periodicity of the structure, but in our case they appear outside the bandgap region, which is unexpected. …”

Section: Resultssupporting

confidence: 81%

“…Contrary to the typical extended modes of the band-edge photonic crystal lasers, Penrose laser modes were found to be localized. Note that a very interesting theoretical study of localized modes in defect-free quasiperiodic photonic crystal has shown that transmission within the bandgap could be attributed to a competition between the nonperiodicity and self-similarity [15].…”

Section: Introductionmentioning

confidence: 99%

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Localized modes in photonic quasicrystals with Penrose-type lattice

Villa¹,

Enoch²,

Tayeb³

et al. 2006

Opt. Express

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Abstract:We investigate the properties of the resonant modes that occur in the transparency bands of two-dimensional finite-size Penrose-type photonic quasicrystals made of dielectric cylindrical rods. These modes stem from the natural local arrangements of the quasicrystal structure rather than, as originally thought, from fabrication-related imperfections. Examples of local density of states and field maps are shown for different wavelengths. Calculations of local density of states show that these modes mainly originate from the interactions between a limited numbers of rods.

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Section: Resultssupporting

confidence: 81%

Section: Introductionmentioning

confidence: 99%

Localized modes in photonic quasicrystals with Penrose-type lattice

Villa¹,

Enoch²,

Tayeb³

et al. 2006

Opt. Express

View full text Add to dashboard Cite

show abstract

“…They emerge only when the sample size is sufficiently large. Thus, they are different from the localized states induced by the short-range order in small samples, 30 where the wave functions are concentrated only in the first neighbors of the central cylinder.…”

Section: -2mentioning

confidence: 85%

Gap structures and wave functions of classical waves in large-sized two-dimensional quasiperiodic structures

et al. 2006

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By using the sparse-matrix canonical-grid method, we performed large-scale multiple-scattering calculations to study the gap structures and wave functions of classical waves in two-dimensional quasiperiodic structures. We observed many interesting phenomena arising from the quasiperiodic long-range order. In particular, a self-similar wave function with resonant structures was observed at a band edge. Our findings indicate that two-dimensional quasiperiodic systems exhibit a universal behavior that applies to both electrons ͑or phonons͒ in discrete lattices and classical waves in continuous media.

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“…8). Moreover, in view of their many non-equivalent sites, PQCs exhibit a number of possible different defects useful for field confinement 9 , as well as intrinsic localized modes 10,11 . In this connection, PQC-based optical microcavities have already been successfully fabricated, with the ability of strongly confining the light with both high quality factors and small modal volumes 12,13 .…”

mentioning

confidence: 99%

Mode confinement in photonic quasicrystal point-defect cavities for particle accelerators

Gennaro

Savo

Andreone

et al. 2008

Applied Physics Letters

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In this Letter, we present a study of the confinement properties of point-defect resonators in finite-size photonic-bandgap structures composed of aperiodic arrangements of dielectric rods, with special emphasis on their use for the design of cavities for particle accelerators. Specifically, for representative geometries, we study the properties of the fundamental mode (as a function of the filling fraction, structure size, and losses) via 2-D and 3-D full-wave numerical simulations, as well as microwave measurements at room temperature. Results indicate that, for reduced-size structures, aperiodic geometries exhibit superior confinement properties by comparison with periodic ones.A promising approach to the development of new types of compact, efficient microwave particle accelerators is to realize structures having higher frequencies of operation, since this can increase the accelerating field gradient and reduce the power consumption 1 . Unfortunately, in a particle accelerator, the higher the frequency, the stronger the excitation (by the wakefield effect) of higher order modes (HOMs), with a significant reduction of the beam stability. Nowadays accelerators operate at frequencies < ∼ 1 GHz, and they usually rely on waveguide-based HOM dampers in order to efficiently suppress the wakefields. However, at higher ( > ∼ 10 GHz) working frequencies, the standard configurations used for HOM damping become rather cumbersome or even technically unfeasible.In the past, open metallic photonic-crystal (PC) cavities, based on periodic arrangements of inclusions, have been proposed as candidates for a new generation of accelerating cells since they exhibit electromagnetic (EM) responses that can be highly selective in frequency. This property (and others related) arises from the formation of photonic bandgaps (PBGs), whereby multiple scattering of waves by periodic lattices of inclusions acts to prevent the propagation of EM waves within certain frequency ranges. In these structures, an open resonator can be easily created by introducing a lattice defect, e.g., by removing one inclusion. Unlike conventional closed cavities, such a point-defect PBG cavity can be designed to support only one bound mode (strongly localized within the defect region), and mostly extended HOMs. This suggests the possibility of using PBG-based cavities for effective HOM wakefield suppression, without the need for mode couplers or detuning. Indeed, a prototype of a large-gradient accelerator that relies on a metallic PBG structure has been successfully fabricated and experimentally characterized 2 . Superconducting prototypes have been also tested at 4 K, showing quality factors up to ∼ 10 5 , limited by radiation losses only 3 . All-dielectric or hybrid-dielectric PBG structures could also be used, thereby eliminating or reducing the characteristic metallic losses at the frequency of operation, even if at the expense of an increased radiative contribution 4 .Moreover, it should be observed that spatial periodicity is not an essential ingredient...

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Localized modes in defect-free dodecagonal quasiperiodic photonic crystals

Cited by 75 publications

References 36 publications

Localized modes in photonic quasicrystals with Penrose-type lattice

Localized modes in photonic quasicrystals with Penrose-type lattice

Gap structures and wave functions of classical waves in large-sized two-dimensional quasiperiodic structures

Mode confinement in photonic quasicrystal point-defect cavities for particle accelerators

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