Complete bandgap arising from the effects of hollow, veins, and intersecting veins in a square lattice of square dielectric rods photonic crystal

Ho, Hong Fa; Chau, Yuan-Fong Chou; Yeh, Hsiao Yu; Wu, Fong Lin

doi:10.1063/1.3606530

Cited by 15 publications

(3 citation statements)

References 32 publications

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“…Conventional design methods for PhCs directly employ regular lattices taken from nature (e.g., square, triangular or honeycomb etc.) that allow only one resonator in each unit cell 4 – 6 . As a result, the position and size of the resulting PBGs are not fully controllable.…”

Section: Introductionmentioning

confidence: 99%

On-Demand Design of Tunable Complete Photonic Band Gaps based on Bloch Mode Analysis

Lin

Meng

et al. 2018

Sci Rep

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The fundamental property of photonic crystals is the band gap effect, which arises from the periodic dielectric modulation of electromagnetic waves and plays an indispensable role in manipulating light. Ever since the first photonic-bandgap structure was discovered, the ability to tune its bandgap across a wide wavelength range has been highly desirable. Therefore, obtaining photonic crystals possessing large on-demand bandgaps has been an ever-attractive study but has remained a challenge. Here we present an analytical design method for achieving high-order two-dimensional photonic crystals with tunable photonic band gaps on-demand. Based on the Bloch mode analysis for periodic structures, we are able to determine the geometric structure of the unit cell that will realize a nearly optimal photonic band gap for one polarization between the appointed adjacent bands. More importantly, this method generates a complete bandgap for all polarizations, with frequencies tuned by the number of photonic bands below the gap. The lowest dielectric contrast needed to generate a photonic band gap, as well as conditions for generating complete bandgaps, are investigated. Our work first highlights the systematic approach to complete photonic band gaps design based on Bloch mode analysis. The physical principles behind our work are then generalized to other photonic lattices.

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Section: Introductionmentioning

confidence: 99%

On-Demand Design of Tunable Complete Photonic Band Gaps based on Bloch Mode Analysis

Lin

Meng

et al. 2018

Sci Rep

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“…Compared to the results in the report of Qiu et al, the maximum bandwidth of CPBG is increased to 0.10662 (2pc/a). Ho et al 30 presented a structure with dielectric-shell rods which are connected by dielectric veins and intersecting veins, and proclaimed that the maximum frequency range of CPBG is 0.222592 (2pc/a). Therefore, the larger CPBG can be obtained by introducing the low-symmetry filler.…”

mentioning

confidence: 99%

Complete photonic band gaps and tunable self-collimation in the two-dimensional plasma photonic crystals with a new structure

Zhang

Ding

et al. 2015

Physics of Plasmas

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In this paper, the properties of complete photonic band gaps (CPBGs) and tunable self-collimation in two-dimensional plasma photonic crystals (2D PPCs) with a new structure in square lattices, whose dielectric fillers (GaAs) are inserted into homogeneous and nomagnetized plasma background are theoretically investigated by a modified plane wave expansion (PWE) method with a novel technique. The novel PWE method can be utilized to compute the dispersion curves of 2D PPCs with arbitrary-shaped cross section in any lattices. As a comparison, CPBGs of PPCs for four different configurations are numerically calculated. The computed results show that the proposed design has the advantages of achieving the larger CPBGs compared to the other three configurations. The influences of geometric parameters of filled unit cell and plasma frequency on the properties of CPBGs are studied in detail. The calculated results demonstrate that CPBGs of the proposed 2D PPCs can be easily engineered by changing those parameters, and the larger CPBGs also can be obtained by optimization. The self-collimation in such 2D PPCs also is discussed in theory under TM wave. The theoretical simulations reveal that the self-collimation phenomena can be found in the TM bands, and both the frequency range of self-collimation and the equifrequency surface contours can be tuned by the parameters as mentioned above. It means that the frequency range and direction of electromagnetic wave can be manipulated by designing, as it propagates in the proposed PPCs without diffraction. Those results can hold promise for designing the tunable applications based on the proposed PPCs.

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“…For applications, interest in seeking PhCs with large APBGs is ever lasting up to now because large APBGs can offer strong confinement of waves, low transmission loss, wide operating bandwidth, good tolerance for the technological error and flexibility of designing photonic devices [5][6][7][8][9]. Among the PhCs in various kinds of lattices, PhCs in square lattice are more easily and economically fabricated [10]. Moreover, PhCs in square lattice can simplify the optical circuits and increase the scale of integration in many cases.…”

Section: Introductionmentioning

confidence: 99%

Wide Absolute-Photonic-Bandgap 2D Square-Lattice Photonic Crystal Based on Hollow Cylinders and Cross Connecting Plates

Wang

Ouyang

Wen

et al. 2014

AMM

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Looking for photonic crystals with wide absolute bandgaps is always a challenging, attractive and significant task for optics scientists and optics engineers. In this paper, a new square-lattice photonic crystal structure is proposed based on a unit cell with a hollow cylinder and cross connecting plates. It is demonstrated through plane wave expansion method to have wider absolute photonic bandgaps compared with others reported.

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Complete bandgap arising from the effects of hollow, veins, and intersecting veins in a square lattice of square dielectric rods photonic crystal

Cited by 15 publications

References 32 publications

On-Demand Design of Tunable Complete Photonic Band Gaps based on Bloch Mode Analysis

On-Demand Design of Tunable Complete Photonic Band Gaps based on Bloch Mode Analysis

Complete photonic band gaps and tunable self-collimation in the two-dimensional plasma photonic crystals with a new structure

Wide Absolute-Photonic-Bandgap 2D Square-Lattice Photonic Crystal Based on Hollow Cylinders and Cross Connecting Plates

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