Investigation of Absolute Photonic Band Gaps in Two-dimensional Dielectric Structures

Lin, Shawn‐Yu; Arjavalingam, G.; Robertson, W. M.

doi:10.1080/09500349414550391

Cited by 24 publications

(5 citation statements)

References 10 publications

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“…Our numerical results agree well with that of Ansys HFSS. Previous results reported by other studies [12,22] for a similar kind of the structural geometry also validate our calculated results. For the 16-layer MPC with 13149 unknowns (8766 triangle facets), the times for matrix filling and linear system solving are 40.3 s and 15.2 s per frequency point, respectively.…”

Section: Infinite Metallic Rodsupporting

confidence: 92%

See 1 more Smart Citation

Integral Equation Analysis of EM Scattering from Multilayered Metallic Photonic Crystal Accelerated with Adaptive Cross Approximation

Su¹,

Li²,

Yuan³

et al. 2015

International Journal of Antennas and Propagation

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A space-domain integral equation method accelerated with adaptive cross approximation (ACA) is presented for the fast and accurate analysis of electromagnetic (EM) scattering from multilayered metallic photonic crystal (MPC). The method directly solves for the electric field in order to easily enable the periodic boundary condition (PBC) in the spatial domain. The ACA is a purely algebraic method allowing the compression of fully populated matrices; hence, its formulation and implementation are independent of integral equation kernel (Green’s function). Therefore, the ACA is very well suited for accelerating integral equation analysis of periodic structure with the integral kernel of the periodic Green’s function (PGF). The computation of the spatial-domain periodic Green’s function (PGF) is accelerated by the modified Ewald transformation, such that the multilayered periodic structure can be analyzed efficiently and accurately. An effective interpolation method is also proposed to fast compute the periodic Green’s function, which can greatly reduce the time of matrix filling. Numerical examples show that the proposed method can greatly save the frequency sweep time for multilayered periodic structure.

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Section: Infinite Metallic Rodsupporting

confidence: 92%

“…In addition, it is noted that most photonic crystal applications deal with two-dimensional (2D) structures that are invariant along a longitudinal axis and periodic in the transverse plane [11]. The manufacture of a 2D photonic crystal structure is easier than that of three-dimensional (3D) one [12].…”

Section: Introductionmentioning

confidence: 99%

Integral Equation Analysis of EM Scattering from Multilayered Metallic Photonic Crystal Accelerated with Adaptive Cross Approximation

Su¹,

Li²,

Yuan³

et al. 2015

International Journal of Antennas and Propagation

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“…It is well known that there is no complete bandgap if the silicon rods are arranged in an air background to form the triangle-lattice PhC structure. However, a triangular-lattice PhC structure composed of air holes embedded in a silicon slab can have a complete bandgap because the high- ε regions of this structure are isolated to a considerable degree, and the triangle-lattice structure has a more circle like Brillouin zone in which the gaps are more likely to open across all the symmetry points 7 , 40 – 42 . Here, we select the radius of the air holes r 0 = 0.48 a with a lattice constant of a = 10 mm to obtain the largest complete bandgap.…”

Section: Resultsmentioning

confidence: 99%

Polarization-independent circulator based on ferrite and plasma materials in two-dimensional photonic crystal

Lin

Qiu

et al. 2018

Sci Rep

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We propose a type of polarization-independent circulator based on ferrite and plasma materials in a two-dimensional photonic crystal (PhC) slab. First, on the basis of analyzing the wave equations in ferrite and plasma materials, TE and TM circulators are realized with ferrite and plasma in PhCs, respectively. Then, by properly combining these two types of circulators together, a polarization-independent circulator is achieved and investigated. The results show that, for both polarizations, the insertion loss and isolation for the polarization-independent circulator are less than 0.15 dB and more than 20 dB, respectively. Finite-element method is used to calculate the characteristics of the circulators and Nelder-Mead optimization method is employed to obtain the optimized parameters. The idea presented here may have potential applications in integrated photonic circuits and devices.

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“…The refractive indices of silicon slab and air holes were set to be 3.4 and 1. According to previous studies [ 28 , 29 ], complete or absolute photonic bandgap (PBG) can be found in a perfect 2D triangular-lattice PhC by using

. The band structure is shown in Figure 2 a, where the range of absolute PBG can be found as 0.435–0.501 ( ωa /2πc).…”

Section: Physical Modelmentioning

confidence: 99%

Polarization-Independent Circulator Based on Composite Rod of Ferrite and Plasma in Photonic Crystal Structure

Lin

Ahmed

et al. 2021

Nanomaterials

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We propose a type of polarization-independent circulator based on a composite rod of ferrite and plasma materials in a two-dimensional photonic crystal (PhC) slab. Only one composite rod was set at the center of the structure to provide circulation for both TE- and TM-polarized waves. Additionally, to improve the performance of the circulator, three additional rods were inserted to improve the coupling condition between the center magneto-optical microcavity and the corresponding waveguides. Finite element method was used to calculate the characteristics of the structure and the Nelder–Mead optimization method was employed to obtain the optimum parameters. The results show that a low insertion loss (~0.22 dB) and high isolation (~14 dB) can be achieved in our structure for waves of both TE and TM polarizations. The idea presented here may be useful for designing compact polarization devices in large-scale integrated photonic circuits.

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Investigation of Absolute Photonic Band Gaps in Two-dimensional Dielectric Structures

Cited by 24 publications

References 10 publications

Integral Equation Analysis of EM Scattering from Multilayered Metallic Photonic Crystal Accelerated with Adaptive Cross Approximation

Integral Equation Analysis of EM Scattering from Multilayered Metallic Photonic Crystal Accelerated with Adaptive Cross Approximation

Polarization-independent circulator based on ferrite and plasma materials in two-dimensional photonic crystal

Polarization-Independent Circulator Based on Composite Rod of Ferrite and Plasma in Photonic Crystal Structure

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