Band structure analysis of two-dimensional photonic crystals using the wavelet-based boundary element method

Wei, Qi; Ma, Xingfu; Xiang, Jiawei

doi:10.1016/j.enganabound.2021.09.025

Cited by 9 publications

(5 citation statements)

References 39 publications

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“…Various numerical methods such as finite difference time domain (FDTD) 29 , 30 , boundary element method (BEM) 31 , 32 , and transfer matrix method (TMM) 12 , 23 are used to analyze the optical and electromagnetic behavior of the photonic crystals. Each of these methods has some advantages.…”

Section: Theory and Methodsmentioning

confidence: 99%

Highly sensitive asymmetric and symmetric cancer sensors with ultra-high-quality factor and resolution power

Sovizi

Aliannezhadi

2023

Sci Rep

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In the paper, we proposed two new highly sensitive and compact biosensors with ultra-high-quality factors based on the 1-D binary photonic crystal (silicon/air thin layer) with a defect layer. The proposed asymmetric and symmetric biosensors have just a few periods (two to five) on both sides of the defect layer and the normal cell group (INOK) and cancer cells group (YD-10B) are considered for the studies. The effects of different parameters including silicon layer thickness, air layer thickness, defect layer thickness, substrate position, number of periods, and light incident angle are considered in the biosensor operation and the biosensors are optimized based on the sensitivity. The results demonstrate that the sensitivity and defect mode wavelength of the sensors are independent of the substrate position. However, the quality factor and FOM of the sensors significantly depend on the substrate position and they are improved significantly in the symmetric sensor (~ 37% improvement in optimum condition). Also, the high sensitivities of the sensors are maintained over a wide range of silicon and air thicknesses, which is a valuable achievement in the manufacturing process. Furthermore, the sensitivity of the optimized biosensors with a defect layer thickness of 10 microns and only two periods reaches S ~ 2811 nm/RIU which is an excellent sensitivity for an optical biosensor.

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Section: Theory and Methodsmentioning

confidence: 99%

Highly sensitive asymmetric and symmetric cancer sensors with ultra-high-quality factor and resolution power

Sovizi

Aliannezhadi

2023

Sci Rep

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“…Employing a 17 × 21 element surface array with an array element spacing of 0.05 m, the sound pressure signal at 0.005λ from the source surface at each frequency was collected, the sound pressure at 0.01λ from the source surface was reconstructed. The error between the theoretical and predicted values was calculated according to equation (15), and the results are shown in figure 4. In figure 4, the 'blue' is the error between the ESM method and the theoretical value, and'red' is the error between the ESDIM method and the theoretical value when the frequency changes.…”

Section: Esdim Prediction Surfacementioning

confidence: 99%

“…The main idea of ESM is that the sound field generated by a source is replaced by a set of monopole sources distributed on a surface at a certain distance from the surface of the radiating structure, and the source intensity of the equivalent source can be obtained by matching the normal vibration velocity of the surface of the source. Compare with other methods, such as the analytical method [9][10][11], finite element method [12][13][14], boundary element method [15][16][17], and ESM [18][19][20][21] are more suitable for reconstructing the radiated sound field of arbitrarily shaped sources and can require less computational effort and avoid complex interpolation operations and singular integration processing. Many scholars have conducted a series of studies on ESM to improve the resolution of sound sources and the accuracy of sound field reconstruction.…”

Section: Introductionmentioning

confidence: 99%

Application of equivalent source intensity density interpolation in near-field acoustic holography

Gao

Yang

et al. 2023

Meas. Sci. Technol.

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The spatial resolution of near-field acoustic holography based on the equivalent source method (ESM) is closely related to the number of measurement points, the higher the number of measurement points, the higher the resolution. However, the number of measurement points in the actual measurement cannot be increased infinitely. To solve the contradiction between the resolution and the number of measurement points, this paper proposes an equivalent source density interpolation method (ESDIM). First, the equivalent source intensity is obtained using the sound pressure measured by the array element and the Green function, and the equivalent source intensity density is obtained based on the equivalent source intensity and grid area. Second, the Hermite interpolation function was used to obtain the interpolated equivalent source intensity density. However, as the number of interpolated grids increased, the resolution, computation, and running time of ESDIM increased, and the number of subdivided grids per unit grid was 9-25 in this study. Finally, the sound field was reconstructed based on the obtained interpolated equivalent source intensity and Green transfer function, and the reconstruction accuracies of ESDIM and ESM were compared and analyzed. The simulation and experimental data processing results showed that the resolution of the equivalent source intensity density interpolation method was higher than that of the equivalent source method.

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“…Wave propagation and the determination of the band gaps are possible with the use of a large number of numerical methods. These include the plane wave expansion method (PWE) [38], one-dimensional transmission line model (TLM) [39], transfer matrix method (TMM) [40], [41], the multiple scattering theory (MST) [42], the finite element method (FEM) [43]- [45], a boundary element method (BEM) [46], [47] and the finite difference time domain (FDTD) [48], [49]. The aim of the work was to determine how the propagation of a mechanical wave in quasi-two-dimensional phononic…”

Section: Introductionmentioning

confidence: 99%

Influence of spatial distribution and the type of material on the occurrence of bandgaps in phononic crystals

Garus,

Sochacki,

Kwiatoń

et al. 2023

Bulletin of the Polish Academy of Sciences Technical Sciences

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The study investigated the effect of the fill factor, lattice constant, and the shape and type of meta-atom material on the reduction of mechanical wave transmission in quasi-two-dimensional phononic structures. A finite difference algorithm in the time domain was used for the analysis, and the obtained time series were converted into the frequency domain using the discrete Fourier transform. The use of materials with large differences in acoustic impedance allowed to determine the influence of the meta-atom material on the propagation of the mechanical wave.

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Band structure analysis of two-dimensional photonic crystals using the wavelet-based boundary element method

Cited by 9 publications

References 39 publications

Highly sensitive asymmetric and symmetric cancer sensors with ultra-high-quality factor and resolution power

Highly sensitive asymmetric and symmetric cancer sensors with ultra-high-quality factor and resolution power

Application of equivalent source intensity density interpolation in near-field acoustic holography

Influence of spatial distribution and the type of material on the occurrence of bandgaps in phononic crystals

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