Optimization of circular photonic crystal cavities - beyond coupled mode theory

Chang, Derek; Scheuer, Jacob; Yariv, Amnon

doi:10.1364/opex.13.009272

Cited by 21 publications

(13 citation statements)

References 23 publications

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“…rectangular lattice, triangular lattice and sunflower lattice. The sunflower type of lattice has linearly increasing number and constant angular size of holes [8]. This lattice is highly symmetric with infinite number of symmetry planes.…”

Section: Introductionmentioning

confidence: 99%

Phase modulated circles in a sunflower-type circular photonic crystal with ultra-small mode area and high-Q cavity

Bhattacharjee

Siraji

Alain

2014

2014 International Conference on Electrical Engineering and Information &Amp; Communication Technology

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A modified sunflower type circular photonic crystal defect cavity consisting of 10 concentric circles is studied where the defect cavity is created by removing the central hole. The resonant characteristics of the CPC defect cavity with gradually shifted phase angle in successive hole circles are analyzed. The resonant transverse electric (TE) and transverse magnetic (TM) mode frequencies were calculated by 2D finite difference time domain (FDTD) method. The field profiles at resonant frequencies are calculated and mode areas (Am) are determined from both TE and TM mode profiles. It is found that temporal decay of field energy in the cavity is exponential. From the decay of the energy in the cavity, the quality factor (Q) of the PC cavity is determined. Finally the impact of phase modulation on Q and Am of the designed CPC defect cavity is examined.

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Section: Introductionmentioning

confidence: 99%

Phase modulated circles in a sunflower-type circular photonic crystal with ultra-small mode area and high-Q cavity

Bhattacharjee

Siraji

Alain

2014

2014 International Conference on Electrical Engineering and Information &Amp; Communication Technology

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“…Indeed, random disorder is known to improve the Q factor of certain types of cavities. 13 The surrounding air hole lattice need not even have a periodic pattern; circular photonic crystal patterns 14,15 and quasiperiodic patterns 16 can also create an effective optical confinement. It is clear that various types of defects can improve the Q factor and that this design space has not yet been fully investigated.…”

Section: Introductionmentioning

confidence: 99%

Optimization of a single defect photonic crystal laser cavity

Frei

Johnson

Choquette

2008

Journal of Applied Physics

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Using nonlinear programing and the geometry projection method, the quality factor of the monopole mode of a single defect photonic crystal laser cavity is improved from 38 000 to 87 000. Beginning with a design that considers only round air holes shifted away from the cavity, the radius of the nearest neighbor and of the surrounding air holes are optimized while satisfying a constraint on the resonant frequency. The total reflectivity of the photonic crystal laser structure is then defined, and it is shown that this quantity correlates strongly to the total quality factor. The reflectivity of the structure is improved by altering the shape of the holes immediately surrounding the cavity, thus leading to an improvement in quality factor. The geometry projection method is used to define the shape of the holes and the finite element and adjoint methods are used to compute the objective function and sensitivities required by the optimizer. This work demonstrates one way to optimize the Q factor of a photonic crystal laser by altering the hole shape.

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“…Alternatively, CPC is considered as a very promising approach because it simultaneously possesses continuous slab structure and isotropic bandgap [15,16]. In this Letter, we present a 1.16-μm-radius Si disk embedded in a sunflower-type CPC [16,17], which allows us to overcome the radiation limit of the bare disks. We obtain an ultrahigh measured loaded optical Q (7.4 × 10 5 ), near an order of magnitude higher than that of a bare disk of similar size [6,7,18].…”

mentioning

confidence: 99%

“…A micrometer-sized disk with radius R, separated from the surrounding CPC by a gap g, is placed inside such a C3 cavity. Ideally, the confinement of the CPC can be further improved by radially chirping the hole array to maximally satisfy the phase-matching condition [17], but for N ≥ 3 such chirping becomes negligible and therefore is not adopted in the proposed structure. The PBG effect of a perfect CPC lattice is investigated through three-dimensional (3D) finitedifference time-domain (FDTD) simulation, in which a TE-like polarized light wave excited by a Gaussian dipole source propagates through the CPC lattice and is probed on the other side.…”

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confidence: 99%

A 116-μm-radius disk cavity in a sunflower-type circular photonic crystal with ultrahigh quality factor

2012

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We present a 1.16-µm-radius disk cavity with ultrahigh quality (Q) factor by embedding the disk into a sunflower-type circular photonic crystal (CPC). The band gap of the CPC reduces the bending loss of the whispering-gallery mode of the disk, leading to a simulated Q of 10 7 , at least one order of magnitude higher than a bare disk of the same size. The design is experimentally verified with a record high loaded Q of 7.4 × 10 5 measured from an optimized device fabricated on a silicon-on-insulator substrate.OCIS Codes: 230.5750, 230.5298, 220.4241 Owing to their ultrahigh-quality-factor whispering-gallery modes (WGMs) slabs [12, 13], provide the possibility to reduce the bending loss because light propagation is inhibited inside the band gap. However, the discontinuous structure of the CGRs is unsuitable for integrating with the widely used membrane fabrication technology, and the conventional triangular lattice PC needs sophisticated hole adjustment [14] to match the circular symmetry of the disk. Alternatively, circular photonic crystal (CPC) is considered as a very promising approach because it simultaneously possesses continuous slab structure and isotropic band gap [15, 16]. In this letter we present a 1.16-µm-radius Si disk embedded in a sunflower-type[

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Optimization of circular photonic crystal cavities - beyond coupled mode theory

Cited by 21 publications

References 23 publications

Phase modulated circles in a sunflower-type circular photonic crystal with ultra-small mode area and high-Q cavity

Phase modulated circles in a sunflower-type circular photonic crystal with ultra-small mode area and high-Q cavity

Optimization of a single defect photonic crystal laser cavity

A 116-μm-radius disk cavity in a sunflower-type circular photonic crystal with ultrahigh quality factor

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