Nonlinear Full-Vector Finite Element Model and Its Applications

Abstract

Abstract: A nonlinear full-vector finite element model (FEM) is deduced and implemented based on the hybrid edge/nodal element.Self-consistent iteration method is presented for the steady-state analysis of nonlinear optical fibers.By using this model,dispersion properties of nonlinear single-mode fiber and highly nonlinear photonic crystal fiber are investigated,under linear state and high input power,respectively.The numerical results are in good agreement with those reported in literature,which confirms the model’s correctness and effectiveness.

Key words: nonlinear, dispersion, photonic crystal fiber, finite element method

LIU Xiao-Yi, ZHANG Fang-Di, ZHANG Min, YE Pei-Da. Nonlinear Full-Vector Finite Element Model and Its Applications[J]. journal6, 2007, 28(3): 64-69.

References

[1] BIRKS T A,KNIGHT J C,RUSSELL P ST J,et al.Endless Single-Mode Photonic Crystal Fiber [J].Opt. Lett.,1997，22:961-963.

[2] MOGILEVTSEV D,BIRKS T A,RUSSELL P S J.Group-Velocity Dispersion in Photonic Crystal Fibers [J].Opt. Lett.，1998，23(21):1 662-1 664.

[3] ORTIGOSA-BLANCH A,KNIGHT J C,WADSWORTH W J,et al.Highly Birefringent Photonic Crystal Fibers [J].Opt. Lett.，2000，25(18):1 325-1 327.

[4] KNIGHT J C,BIRKS T A,CREGAN R F,et al.Large Mode Area Photonic Crystal Fibre [J].Electronics Letters,1998，34:1 347-1 348.

[5] PHILIP RISSEL.Photonic Crystal Fibers [J].Science,2003,299:358-362.

[6] KATSUNARI OKAMOTO，MARCATILI E A J.Chromatic Dispersion Characteristics of Fibers with Optical Kerr-Effect Nonlinearity [J].J. Lightwave Technol.,1989，7(12):1 988-1 994.

[7] HOANG YAN LIN，HUNG-CHUN CHANG.An Efficient Method for Determining the Chromatic Dispersion Characteristics of Nonlinear Single-Mode Optical Fibers [J].J. Lightwave Technol.,1992，10(9):1 188-1 195.

[8] TAKESHI FUJISAWA，MASANORI KOSHIBA.Finite Element Characterization for Charomatic Dispersion in Nonlinear Holey Fibers [J].Opt. Exp.,2003，11(13):1 481-1 489.

[9] BRODERICK N G R,MONRO T M,BENNETT P J,et al.Nonlinearity in Holey Optical Fibers:Measurement and Future Opportunities [J].Opt. Lett.，1999，24:1 395-1 397.

[10] WADSWORTH W J,KNIGHT J C,ORTIGOSA-BLANCH A,et al.Soliton Effects in Photonic Crystal Fibres at 850 nm [J].Electron. Lett.，2000，36:53-55.

[11] PETROPOULOS P，MONRO T M，BELARDI W，et al.A Highly Nonlinear Holey Fiber and Its Application in a Regenerative Optical Switch [J].Optical Fiber Communication Conference and Exhibit,2001,2：31-33.

[12] JE HAN LEE，BELARDI W，FURUSAWA K.Four-Wave Mixing Based 10-Gb/s Tunable Wavelength Conversion Using a Holey Fiber with a High SBS Threshold [J].IEEE Photonics Technology Letters,2003，15(3):440-442.

[13] HUSAKOU A V,HERRMANN J.Supercontinuum Generation in Photonic Crystal Fibers Made from Highly Nonlinear Glasses [J].Applied Physics B，2003，77(2-3):227-234.

[14] PETEROPOULOS P,EBENDORFF-HEIDEPRIEM H,FINAZZI V,et al.Highly Nonlinear and Anomalously Dispersive Lead Silicate Glass Holey Fibers [J].Opt. Express,2003，11(26):3 668-3 673.

[15] KUMAR V,GEORGE A K,REEVES W H，et al.Extruded Soft Glass Photonic Crystal Fiber for Ultrabroad Supercontinuum Generation [J].Opt. Express,2002,10(25):1 520-1 525.

[16] KOSHIBA M,TSUJI Y.Curvilinear Hybrid Edge/Nodal Elements with Triangular Shape for Guided-Wave Problems [J].J. Lightwave Technol.,2000，18 (5):737-743.

[17] 金建铭.电磁场有限元方法[M].西安：西安电子科技大学出版社，1998.