Resonant transmission of electromagnetic waves through two-dimensional photonic quasicrystals

Neve-Oz, Yair; Pollok, Therese; Burger, Sven; Golosovsky, M.; Davidov, D.

doi:10.1063/1.3329542

Cited by 11 publications

(7 citation statements)

References 30 publications

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“…Compared with left-handed materials (LHM) [9,10] and periodic PC [11], 2D PQC not only reduces the absorption of light effectively, it also performs isotropy. Enormous attention has been paid to 2D PQC for its unique advantages in focusing and imaging of electromagnetic wave [7,8,[12][13][14][15][16].…”

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confidence: 99%

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Wavelength dependence of focusing properties of two-dimensional photonic quasicrystal flat lens

Fan

et al. 2012

Opt. Lett.

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We investigated the wavelength dependence of the focusing properties of a germanium-cylinder-based two-dimensional (2D) decagonal Penrose-type photonic quasicrystal (PQC) flat lens for the first time, to the best of our knowledge. We found that near the second bandgap and in the high-frequency side (between the bandgap boundary and the first light intensity peak) of the pass band, the flat lens can exhibit a focusing effect for a point light source and that the focusing wavelengths can directly be drawn from the photonic band structure. For all the focusing wavelengths, the summation of the object distance and the image distance is less than the thickness of the flat lens when the object distance is half the thickness of the flat lens. As the wavelength increases, the image distance, the image quality, and the effective refractive index of the flat lens increase, whereas the image power of the point light source decreases. The effective refractive index of the flat lens is less than -1.

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confidence: 99%

“…However, the previous research [7,8,[12][13][14][15][16] on the focusing properties of 2D PQC lens were concentrated on a single wavelength. In fact, the application of negative refraction lens is not only for a single wavelength but also for a wave band, such as optical band to the optical-wave target detection [17] or IR band to the IR-wave focusing [18].…”

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confidence: 99%

Wavelength dependence of focusing properties of two-dimensional photonic quasicrystal flat lens

Fan

et al. 2012

Opt. Lett.

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“…Apart from applications to PCF, in this field JCMsuite is used to investigate properties of photonic bandgap material and devices composed of photonic crystals. 20,110,111,[113][114][115]…”

Section: Integrated Opticsmentioning

confidence: 99%

Advanced finite-element methods for design and analysis of nanooptical structures: applications

et al. 2013

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“…Besides crystals, Levine and Steinhardt [20] introduced quasicrystals -materials with properties that are ordered in space but do not possess an exact periodicity. Photonic quasicrystals have been studied extensively [21][22][23][24][25][26][27][28]. Moreover, crystals can be periodic not just in space but also in time.…”

Section: Introductionmentioning

confidence: 99%

Autoresonant excitation of space-time quasicrystals in plasma

Munirov,

Friedland,

Wurtele

2022

Preprint

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We demonstrate theoretically and numerically that a warm fluid model of a plasma supports space-time quasicrystalline structures. These structures are highly nonlinear, two-phase, ion acoustic waves that are excited autoresonantly when the plasma is driven by two small amplitude chirpedfrequency ponderomotive drives. The waves exhibit density excursions that substantially exceed the equilibrium plasma density. Remarkably, these extremely nonlinear waves persist even when the small amplitude drives are turned off. We derive the weakly nonlinear analytical theory by applying Whitham's averaged variational principle to the Lagrangian formulation of the fluid equations. The resulting system of coupled weakly nonlinear equations is shown to be in good agreement with fully nonlinear simulations of the warm fluid model. The analytical conditions and thresholds required for autoresonant excitation to occur are derived and compared to simulations. The weakly nonlinear theory guides and informs numerical study of how the two-phase quasicrystalline structure "melts" into a single phase traveling wave when one drive is below a threshold. These nonlinear structures may have applications to plasma photonics for extremely intense laser pulses, which are limited by the smallness of density perturbations of linear waves.

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Resonant transmission of electromagnetic waves through two-dimensional photonic quasicrystals

Cited by 11 publications

References 30 publications

Wavelength dependence of focusing properties of two-dimensional photonic quasicrystal flat lens

Wavelength dependence of focusing properties of two-dimensional photonic quasicrystal flat lens

Advanced finite-element methods for design and analysis of nanooptical structures: applications

Autoresonant excitation of space-time quasicrystals in plasma

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