Photonic band gap control in one-dimensional dielectric Bragg structures

Konoplev, I. V.; Doherty, G. K.; Cross, A. W.; Phelps, A. D. R.; Ronald, K.

doi:10.1063/1.2183368

Cited by 9 publications

(1 citation statement)

References 15 publications

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“…Degraeve et al (2015) analyzed a one-dimensional stack of identical piezoelectric rods and discovered that the band gap of the system related to the electrical boundary condition. Konoplev et al (2006) studied the scattering and interference of wave inside the photonic band gap of one-dimensional structure, based on a rectangular waveguide padded a double-sided corrugated dielectric, by the numerical and experimental techniques. Yeh and Chen (2006) adopted the model of finite element and the TM method to investigate the wave propagation in a one-dimensional sandwich beam, periodically placed by constrained layer damping treatments.…”

Section: Introductionmentioning

confidence: 99%

Flexural vibration band gaps in periodic Timoshenko beams with oscillators in series resting on flexible supports

Ding

Yan

2020

Advances in Structural Engineering

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The propagation properties of waves in Timoshenko beams resting on flexible supports and with periodically attached harmonic locally resonant oscillators are studied by the transfer matrix methodology. Through calculating the differential equations of the beam for the flexible vibration and the dynamic equations of the oscillators in series, the matrix of dynamic stiffness and the resulting transfer matrix are derived. Accordingly, the band gap in infinite system characterized by the propagation constant can be verified by comparing to the curve of transmission property, determined with the finite element method for the finite system. The mechanism of each band gap formation is further explored. Numerical results show that different from the single degree-of-freedom mass-spring model, one more locally resonant band gap is generated in the system of two oscillators in series. The introduction of flexible supports, allowing for variable internal coupling between the adjacent cells, produces an extra band gap with a minimum frequency of zero. It is also found that the starting frequencies of the locally resonant gaps are related to the spring stiffness and mass of the oscillator. Therefore, the positions and widths of the band gaps can be tuned by properly adjusting the four parameters of the oscillators and also the stiffness of the flexible supports.

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Section: Introductionmentioning

confidence: 99%

Flexural vibration band gaps in periodic Timoshenko beams with oscillators in series resting on flexible supports

Ding

Yan

2020

Advances in Structural Engineering

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Fabrication of one-dimensional photonic crystals with Al2O3/TiO2 by pulsed laser deposition

Xing

Wang

et al. 2013

Appl. Phys. A

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Study of one-dimensional Bragg structures with localized defect

Konoplev

MacInnes

Cross

et al. 2007

Applied Physics Letters

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The results of studies of one-dimensional Bragg structures (one-dimensional periodic lattice) with localized defects are presented. The defects considered are localized, step changes (shifts) of the lattice phase (corrugation). The influence of the defects on the periodic lattice band-gap parameters has been analyzed. The presence of the defect resulted in the appearance of a pass band, associated with the defect eigenmode, inside the lattice band gap and it was demonstrated that the position of the pass band depended strongly on the parameters of the defect as well as the field structure. The experimental and theoretical results obtained are compared and discussed. (C) 2007 American Institute of Physics

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Photonic band gap control in one-dimensional dielectric Bragg structures

Cited by 9 publications

References 15 publications

Flexural vibration band gaps in periodic Timoshenko beams with oscillators in series resting on flexible supports

Flexural vibration band gaps in periodic Timoshenko beams with oscillators in series resting on flexible supports

Fabrication of one-dimensional photonic crystals with Al2O3/TiO2 by pulsed laser deposition

Study of one-dimensional Bragg structures with localized defect

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