The space filling mode of holey fibers: an analytical vectorial solution

Midrio, M.; Singh, Mahendra Prasad; Someda, C.G.

doi:10.1109/50.850750

Cited by 88 publications

(51 citation statements)

References 8 publications

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“…Also in this solution, the hexagonal unit cell is replaced by the corresponding circular one. It is pointed out [56] that choices of the radius of the circle influence the accuracy in n FSM and that the choice of Λ/2 yields results in good agreement with those of the full-vector PWE method [9]. Discrepancies in the values of n FSM between scalar and vector approaches are also demonstrated [56].…”

Section: A Effective Index Approachmentioning

confidence: 69%

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Numerical modeling of photonic crystal fibers

Saitoh

Koshiba

2005

J. Lightwave Technol.

219

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Abstract-Recent progress on numerical modeling methods for photonic crystal fibers (PCFs) such as the effective index approach, basis-function expansion approach, and numerical approach is described. An index-guiding PCF with an array of air holes surrounding the silica core region has special characteristics compared with conventional single-mode fibers (SMFs). Using a full modal vector model, the fundamental characteristics of PCFs such as cutoff wavelength, confinement loss, modal birefringence, and chromatic dispersion are numerically investigated.Index Terms-Finite-element method, holey fiber, microstructured optical fiber, numerical modeling, photonic band-gap fiber, photonic crystal fiber.

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Section: A Effective Index Approachmentioning

confidence: 69%

“…Recently, an analytical vector solution for the effective cladding index has been reported [56]. Also in this solution, the hexagonal unit cell is replaced by the corresponding circular one.…”

Section: A Effective Index Approachmentioning

confidence: 99%

Numerical modeling of photonic crystal fibers

Saitoh

Koshiba

2005

J. Lightwave Technol.

219

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“…Midrio et al [16] have shown that the vectorial solution of FSM agrees well with a fully vectorial numerical method and gives more accurate results than the commonly used weak-guidance-based scalar solution in Refs. [3,4], and we have demonstrated that a fully vectorial effective index model based on Ref.…”

Section: Introductionmentioning

confidence: 87%

“…Both numerical [13][14][15] and analytical methods [3,4,16] are exploited to calculate the effective index of FSM n FSM . Midrio et al [16] have shown that the vectorial solution of FSM agrees well with a fully vectorial numerical method and gives more accurate results than the commonly used weak-guidance-based scalar solution in Refs.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of the fundamental space filling mode of photonic crystal fibers

Wang

et al. 2007

Optics & Laser Technology

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“…The PCFs can be classified in two categories according to their wave-guiding principle. The first one, index-guiding micro structured fibers (MF) or holey fibers (HF) which guide light in the same way as standard optical fibers [1], based on total internal reflection (TIR) [2]; and the second one, photonic band gap fibers (PBF) where the light propagation is confined through the band gap effect [3]. The main parameter of these fibers, such as numerical aperture, mode areas, group velocity dispersion (GVD), can change by altering the holes structures and sizes in the cladding.…”

Section: Introductionmentioning

confidence: 99%

Effects of Geometry on Amplification Property of Erbium Doped Holey Fiber Amplifiers Using Scalar Effective Index Method

Karimi¹,

Seraji²

2010

PIER B

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Abstract-Holey fibers (HF) with their peculiar properties have been used in fabrication of Erbium doped holey fiber amplifiers (EDHFA) for third optical communication window. In this paper, by using scalar effective index method, the analyses are presented to investigate the effects of HF geometrical parameters on the gain performance of the EDHFAs. The hierarchical variations of the parameters, including the air-hole sizes (AHS), propagating modes of the core and cladding, mode field diameter of the signal and pump, would cause alterations in the maximum gain and the optimum lengths of the EDHFAs. By determining the normalized frequency of the HF in wide range variations of the air-hole diameter, air-hole spacing, and air-filling factor (AFF), the single-mode regions for signal and pump wavelengths are obtained, where the maximum gain and the optimum lengths are evaluated. In addition, the influence of pump power and the dopant concentration in terms of the AFF are investigated. It is shown that by using suitable AHS and AFF, one can obtain a higher gain for a shorter optimum length in the EDHFAs.The obtained results can be a useful tool for design of HF-based optical amplifiers with lesser effects of amplified spontaneous emission and nonlinearities because of shorter optimized length.

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The space filling mode of holey fibers: an analytical vectorial solution

Cited by 88 publications

References 8 publications

Numerical modeling of photonic crystal fibers

Numerical modeling of photonic crystal fibers

Analytical solution of the fundamental space filling mode of photonic crystal fibers

Effects of Geometry on Amplification Property of Erbium Doped Holey Fiber Amplifiers Using Scalar Effective Index Method

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