Hollow-core PCF for guidance in the mid to far infra-red

Pearce, G. J.; Pottage, J.M.; Bird, D. M.; Roberts, Pamela; Knight, J.C.; Russell, P. St. J.

doi:10.1364/opex.13.006937

Cited by 31 publications

(17 citation statements)

References 1 publication

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“…We call this method sampling (see e.g. [7,17,16,18,15]). The advantage of this method is that all of the Fourier coefficients of f are computed cheaply using a single FFT.…”

Section: Planewave Expansion Methods With Samplingmentioning

confidence: 99%

“…In this paper we consider the problem of computing spectral band gaps (that arise from the periodicity) and guided modes (that occur due to the compact perturbation) in PCFs using the planewave expansion method. This method is a popular choice for this type of problem, [7,6,17,16,18].…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, we also consider two variants: (a) coupling the planewave expansion method with a regularisation technique where the discontinuous coefficients are approximated by smooth coefficients (see [11,7,16]), and (b) approximating the Fourier coefficients of the discontinuous coefficients in the governing equation via a sampling technique (see e.g. [7,17,16,18,15]). Variant (b) is usually necessary in practice, because explicit formulae for the Fourier coefficients of the discontinuous coefficients are only available for simple geometries.…”

Section: Introductionmentioning

confidence: 99%

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Planewave expansion methods for photonic crystal fibres

Norton

Scheichl

2013

Applied Numerical Mathematics

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Photonic crystal fibres are novel optical devices that can be designed to guide light of a particular frequency. This requires two phenomena to occur. First, the frequency of light must be in a gap of the spectrum of the fibre's cladding (usually a periodic arrangement of air holes), so that the cladding acts as a barrier to that frequency of light. Second, the perturbation or defect in the middle of the fibre must allow a localised or trapped mode to exist in a spectral gap of the cladding so that light may propagate inside the defect. In this paper the performance of planewave expansion methods for computing such spectral gaps and trapped eigenmodes in photonic crystal fibres is carefully analysed. The occurrence of discontinuous coefficients in the governing equation means that exponential convergence is impossible due to the limited regularity of the eigenfunctions. However, we show through a numerical convergence study and rigorous analysis on a simplified problem that the planewave expansion method is at least as good as standard finite element schemes on uniform meshes in both error convergence and computational efficiency. More importantly, we also consider the performance of two commonly used variants of the planewave expansion method: (a) coupling the planewave expansion method with a regularisation technique where the discontinuous coefficients in the governing equation are approximated by smooth functions, and (b) approximating the Fourier coefficients of the discontinuous coefficients in the governing equation. There is no evidence that regularisation improves the planewave expansion method, but with the correct choice of parameters both variants can be used efficiently without adding significant errors.

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“…We call this method sampling (see e.g. [7,17,16,18,15]). The advantage of this method is that all of the Fourier coefficients of f are computed cheaply using a single FFT.…”

Section: Planewave Expansion Methods With Samplingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Planewave expansion methods for photonic crystal fibres

Norton

Scheichl

2013

Applied Numerical Mathematics

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“…The variatiou of the loss is larger, but it is uot visible ou a logarithmic scale. The glass width betweeu the ceuter air hole aud the first layer of air holes is set as small as 0.08At in all of our simulations to suppress surface modes [8,9] Figure 2(a) shows the pitch dependence of the leakage loss for the air-core PBGFs with 5 rings of air holes, where the air-filling factor is taken as a parameter. We also plot the loss for optimized pitch-wavelength ratios with different air-filling factors in this figure as a dashed curve, which essentially connects all the minima of the solid curves.…”

Section: Mode Confinement Loss Analysismentioning

confidence: 99%

Loss and bandgap analysis in air-core photonic bandgap fiber for IR transmission

Menyuk

2006

2006 Optical Fiber Communication Conference and the National Fiber Optic Engineers Conference

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“…Hollow-core photonic crystal fibers can confine light in the air core, leading to a low transmission loss, a low nonlinearity, and a high damage threshold [1][2][3][4][5]. Hollow-core photonic bandgap fibers use a periodic structure in the fiber cladding that creates a bandgap or a forbidden gap, which confines the light at the forbidden frequencies to the central air core [6].…”

Section: Introductionmentioning

confidence: 99%

Comparison of Loss in Silica and Chalcogenide Negative Curvature Fibers as the Wavelength Varies

Wei

Menyuk

2016

Front. Phys.

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We computationally study fiber loss in negative curvature fibers made with silica, As 2 S 3 chalcogenide, and As 2 Se 3 chalcogenide glasses with a fixed core-diameter-to-wavelength ratio of 30. We consider both simple and nested geometries as the transmission wavelength varies. At wavelengths shorter than 4.5 µm, silica negative curvature fibers have a loss that is around or below 10 -1 dB/m and are preferable to chalcogenide fibers. At wavelengths longer than 4.5 µm, it is preferable to use As 2 S 3 chalcogenide or As 2 Se 3 chalcogenide negative curvature fibers since their loss is one or more orders of magnitude lower than the loss of silica negative curvature fibers. With nested negative curvature fibers, chalcogenide fibers have losses that are lower than those of silica fibers at wavelengths larger than 2 µm. However, it is still preferable to use silica nested negative curvature fibers at wavelengths less than 4.5 µm and with a loss around or lower than 10 -1 dB/m due to the fabrication advantages of silica fibers.

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Hollow-core PCF for guidance in the mid to far infra-red

Cited by 31 publications

References 1 publication

Planewave expansion methods for photonic crystal fibres

Planewave expansion methods for photonic crystal fibres

Loss and bandgap analysis in air-core photonic bandgap fiber for IR transmission

Comparison of Loss in Silica and Chalcogenide Negative Curvature Fibers as the Wavelength Varies

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