Electromagnetic Modeling of Third-Order Nonlinearities in Photonic Crystal Fibers Using a Vector Two-Dimensional FDTD Algorithm

Salski, Bartłomiej; Karpisz, Tomasz; Buczyński, Ryszard

doi:10.1109/jlt.2015.2421522

Cited by 6 publications

(7 citation statements)

References 26 publications

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“…As a result, FDTD simulation of nonlinear materials can be substantially speeded up with no deterioration of accuracy. As shown in (Salski et al 2015) in selected cases the improvement can exceed 80 %.…”

Section: Nonlinear Propertiesmentioning

confidence: 85%

“…Transverse (mode) properties of the PCF can be computed with the V2D-FDTD method accounting for dispersion of the applied material (Salski et al 2015). The real part of the refractive index of glass contained in the PCFs is usually represented with a Sellmeier equation, which has to be transformed into a Lorentz model with its representation in the FDTD method (Karpisz et al 2014) given as:…”

Section: Transverse Propertiesmentioning

confidence: 99%

“…The details of the corresponding FDTD model are discussed in (Salski et al 2015), so only major features will be pointed out hereafter. Equation (3) can be implemented in FDTD with the aid of ADE [14].…”

Section: Nonlinear Propertiesmentioning

confidence: 99%

“…However, an FDTD solution of (3) suffers from either low computational efficiency or substantially deteriorated accuracy (Maksymov et al 2011). In (Salski et al 2015), a new approach that combines the accuracy of a rigorous FDTD update scheme and the computational speed of an approximate solution has been proposed and successfully validated. In that approach, rigorous FDTD update equations are applied only in those nonlinear cells, where instantaneous amplitude of an electric field is relatively high, while all the remaining nonlinear FDTD cells are updated with approximate update equations.…”

Section: Nonlinear Propertiesmentioning

confidence: 99%

“…Recently, it has been shown that V2D-FDTD can also solve for third-order nonlinear Kerr-Raman effects, which allows studying the impact of pulse intensity on a dispersion characteristic of the mode propagating in a photonic crystal fiber (Salski et al 2015).…”

Section: Introductionmentioning

confidence: 99%

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Computationally-efficient FDTD modeling of supercontinuum generation in photonic crystal fibers

et al. 2016

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It is shown in this paper that a finite-difference time-domain method can be successfully applied to rigorous electromagnetic analysis of supercontinuum generation in photonic crystal fibers. Large computational requirements of the method are alleviated by the use of a hybrid procedure where, at first, vector two-dimensional simulation is applied in order to determine mode properties of the fiber. Subsequently, one-dimensional simulation of a pulse propagating in a transmission line filled with effective material is performed. The parameters of the line take into account nonlinear characteristics of the filling material as well as the previously computed mode dispersion. It is depicted that the proposed novel hybrid approach opens the way for rigorous, yet, computationally-efficient modeling of third order nonlinear processes in optically long fibers. The example investigated in this paper shows very promising results as compared with experiments and approximate numerical simulations of a nonlinear Schrodinger equation performed with the aid of the split-step Fourier method.

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Section: Nonlinear Propertiesmentioning

confidence: 85%

Section: Transverse Propertiesmentioning

confidence: 99%

Section: Nonlinear Propertiesmentioning

confidence: 99%

Section: Nonlinear Propertiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Computationally-efficient FDTD modeling of supercontinuum generation in photonic crystal fibers

et al. 2016

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Infrared supercontinuum generation in multiple quantum well nanostructures

Borgohain

Belić

Konar

2016

J. Opt.

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Mid-infrared spectral broadening is of great scientific and technological interest, which till date is mainly achieved using non-silica glass fibers, primarily made of tellurite, fluoride and chalcogenide glasses. We investigate broadband mid-infrared supercontinuum generation at very low power in semiconductor multiple quantum well (MQW) systems facilitated by electromagnetically induced transparency. 100 femto-seconds pulses of peak power close to a Watt have been launched in the electromagnetically induced transparency window of a 30 period 1.374 long MQW system. Broadband supercontinuum spectra, attributed to self phase modulation and modulation instability, is achievable at the end of the MQW system.The central part of the spectra is dominated by several dips and the far infra-red part of the spectra is more broadened in comparison to the infra-red portion. Key advantage of the proposed scheme is that the supercontinuum source could be easily integrated with other semiconductor devices.Recently optical supercontinuum (SC) generation has drawn tremendous attention 1-10 due to several important applications such as optical coherence tomography 5 , optical metrology 6 , spectroscopy, optical frequency comb generation 7,8 , and wavelength division multiplexing 9 . Since discovery 1 , SC generation has been studied in different nonlinear media including optical fibers 2-8 , silicon photonic nanowires 10 , chalcogenide waveguides 11-12 and silica waveguides 13,14 . Though the SC generation has been experimentally achieved in different media, the photonic crystal fibers (PCFs) have emerged as the most popular nonlinear media for SC generation due to the feasibility of dispersion and nonlinearity engineering 2,3 . The discovery of nonsilica PCFs, characterized by large optical nonlinearity, has further enhanced their popularity as a nonlinear medium for successful SC generation 15,16 .SC generation is characterized by dramatic spectral broadening of an optical field which occurs when an intense narrowband light pulse propagates through a nonlinear medium 2-4 . The spectral broadening is contributed by a host of nonlinear optical process such as self-phase modulation, cross-phase modulation, modulation instability, soliton fission, Raman scattering, dispersive wave generation, four wave mixing, self-steepening 2-4 etc.These nonlinear processes are governed by pulse duration, wavelength and peak power of the pump pulse, whereas the group velocity dispersion (GVD) and its higher order terms at the pumping wavelength play a vital role in determining the quality of the continuum and its shape. Usually, in a PCF the SC spectra are generated by pumping nanosecond, picosecond or femtosecond 2-4 pulses whose wavelength is in the anomalous dispersion regime that is close to the zero dispersion point. However, in PCFs the SC can be generated in the normal dispersion region too 17 where the spectral broadening is dominated through self-phase modulation, Raman scattering and four wave mixing 2,3 . PCFs with large effective nonli...

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