메뉴 건너뛰기




Volumn 40, Issue 2, 2004, Pages 175-182

High-order FDTD and auxiliary differential equation formulation of optical pulse propagation in 2-D Kerr and Raman nonlinear dispersive media

Author keywords

Debye; Diffraction; Dispersion; Finite difference time domain (FDTD); Kerr; Lorentz; Nonlinearity; Perfectly matched layer (PML); Raman; Soliton; Wavelet

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; DIFFRACTION; FINITE DIFFERENCE METHOD; LIGHT POLARIZATION; MAXWELL EQUATIONS; SOLITONS; TIME DOMAIN ANALYSIS; WAVELET TRANSFORMS;

EID: 1242286426     PISSN: 00189197     EISSN: None     Source Type: Journal    
DOI: 10.1109/JQE.2003.821881     Document Type: Article
Times cited : (90)

References (26)
  • 2
    • 84894021661 scopus 로고
    • Numerical solution of initial boundary value problems involving Maxwell's equation in isotropic media
    • May
    • K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equation in isotropic media," IEEE Trans. Antennas Propagat., vol. AP-14, pp. 302-307, May 1966.
    • (1966) IEEE Trans. Antennas Propagat. , vol.AP-14 , pp. 302-307
    • Yee, K.S.1
  • 3
    • 84975583130 scopus 로고
    • Direct time integration of Maxwell's equations in nonlinear dispersive media for propagation and scattering of femtosecond electromagnetic solitons
    • Feb.
    • P. M. Goorjian and A. Taflove, "Direct time integration of Maxwell's equations in nonlinear dispersive media for propagation and scattering of femtosecond electromagnetic solitons," Opt. Lett., vol. 17, no. 3, pp. 180-182, Feb. 1992.
    • (1992) Opt. Lett. , vol.17 , Issue.3 , pp. 180-182
    • Goorjian, P.M.1    Taflove, A.2
  • 4
    • 0026940309 scopus 로고
    • Computational modeling of femtosecond optical solitons from Maxwell's equations
    • Oct.
    • P. M. Goorjian, A. Taflove, R. M. Joseph, and S. C. Hagness, "Computational modeling of femtosecond optical solitons from Maxwell's equations," IEEE J. Quantum Electron., vol. 28, pp. 2416-2422, Oct. 1992.
    • (1992) IEEE J. Quantum Electron. , vol.28 , pp. 2416-2422
    • Goorjian, P.M.1    Taflove, A.2    Joseph, R.M.3    Hagness, S.C.4
  • 5
    • 0029271711 scopus 로고
    • Nonlinear FDTD formulations using z-transforms
    • Mar.
    • D. M. Sullivan, "Nonlinear FDTD formulations using z-transforms," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 676-682, Mar. 1995.
    • (1995) IEEE Trans. Microwave Theory Tech. , vol.43 , pp. 676-682
    • Sullivan, D.M.1
  • 6
    • 0030554342 scopus 로고    scopus 로고
    • Numerical solutions of Maxwell's equations for nonlinear-optical pulse propagation
    • C. V. Hile and W. L. Kath, "Numerical solutions of Maxwell's equations for nonlinear-optical pulse propagation," J. Opt. Soc. Amer. B, vol. 13, no. 6, pp. 1135-1145, 1996.
    • (1996) J. Opt. Soc. Amer. B , vol.13 , Issue.6 , pp. 1135-1145
    • Hile, C.V.1    Kath, W.L.2
  • 7
    • 0027547902 scopus 로고
    • Numerical solutions of Maxwell's equations for nonlinear-optical pulse propagation
    • R. W. Ziolkowski and J. B. Judkins, "Numerical solutions of Maxwell's equations for nonlinear-optical pulse propagation," J. Opt. Soc. Amer. B, vol. 10, no. 2, pp. 186-198, 1993.
    • (1993) J. Opt. Soc. Amer. B , vol.10 , Issue.2 , pp. 186-198
    • Ziolkowski, R.W.1    Judkins, J.B.2
  • 8
    • 0027667176 scopus 로고
    • Application of the nonlinear finite difference time domain (NL-FDTD) method to pulse propagation in nonlinear media: Self-focusing and linear-nonlinear interfaces
    • ____, "Application of the nonlinear finite difference time domain (NL-FDTD) method to pulse propagation in nonlinear media: Self-focusing and linear-nonlinear interfaces," Radio Sci., vol. 28, no. 5, pp. 901-911, 1993.
    • (1993) Radio Sci. , vol.28 , Issue.5 , pp. 901-911
    • Ziolkowski, R.W.1    Judkins, J.B.2
  • 9
    • 0027573316 scopus 로고
    • Direct time integration of Maxwell's equations in two-dimensional dielectric waveguides for propagation and scattering of femtosecond electromagnetic solitons
    • Apr.
    • R. M. Joseph, P. M. Goorjian, and A. Taflove, "Direct time integration of Maxwell's equations in two-dimensional dielectric waveguides for propagation and scattering of femtosecond electromagnetic solitons," Opt. Lett., vol. 18, no. 7, pp. 491-493, Apr. 1993.
    • (1993) Opt. Lett. , vol.18 , Issue.7 , pp. 491-493
    • Joseph, R.M.1    Goorjian, P.M.2    Taflove, A.3
  • 10
    • 0031102603 scopus 로고    scopus 로고
    • FDTD Maxwell's equations models for nonlinear electrodynamics and optics
    • Mar.
    • R. M. Joseph and A. Taflove, "FDTD Maxwell's equations models for nonlinear electrodynamics and optics," IEEE Trans. Antennas Propagat., vol. 45, pp. 364-374, Mar. 1997.
    • (1997) IEEE Trans. Antennas Propagat. , vol.45 , pp. 364-374
    • Joseph, R.M.1    Taflove, A.2
  • 11
    • 0031522206 scopus 로고    scopus 로고
    • Numerical simulations of light bullets using the full-vector time-dependent nonlinear Maxwell equations
    • P. M. Goorjian and Y. Silberberg, "Numerical simulations of light bullets using the full-vector time-dependent nonlinear Maxwell equations," J. Opt. Soc. Amer. B, vol. 14, no. 11, pp. 3253-3260, 1997.
    • (1997) J. Opt. Soc. Amer. B , vol.14 , Issue.11 , pp. 3253-3260
    • Goorjian, P.M.1    Silberberg, Y.2
  • 12
    • 0034228448 scopus 로고    scopus 로고
    • Three-dimensional optical pulse simulation using the FDTD method
    • July
    • D. M. Sullivan, J. Liu, and M. Kuzyk, "Three-dimensional optical pulse simulation using the FDTD method," IEEE Trans. Microwave Theory Tech., vol. 48, pp. 1127-1133, July 2000.
    • (2000) IEEE Trans. Microwave Theory Tech. , vol.48 , pp. 1127-1133
    • Sullivan, D.M.1    Liu, J.2    Kuzyk, M.3
  • 15
    • 0036493564 scopus 로고    scopus 로고
    • Reinterpretation of the auxiliary differential equation method for FDTD
    • Mar.
    • Y. Takayama and W. Klaus, "Reinterpretation of the auxiliary differential equation method for FDTD," IEEE Microwave Wireless Components Lett., vol. 12, pp. 102-104, Mar. 2001.
    • (2001) IEEE Microwave Wireless Components Lett. , vol.12 , pp. 102-104
    • Takayama, Y.1    Klaus, W.2
  • 16
    • 0030384174 scopus 로고    scopus 로고
    • An anisotropic perfectly matched layer absorbing media for the truncation of FDTD lattices
    • Dec.
    • S. D. Gedney, "An anisotropic perfectly matched layer absorbing media for the truncation of FDTD lattices," IEEE Trans. Antennas Propagat., vol. 44, pp. 1630-1639, Dec. 1996.
    • (1996) IEEE Trans. Antennas Propagat. , vol.44 , pp. 1630-1639
    • Gedney, S.D.1
  • 17
    • 0036859998 scopus 로고    scopus 로고
    • A nonlinear and dispersive APML ABC for the FD-TD methods
    • Nov.
    • M. Fujii and P. Russer, "A nonlinear and dispersive APML ABC for the FD-TD methods," IEEE Microwave Wireless Components Lett., vol. 12, p. 444, Nov. 2002.
    • (2002) IEEE Microwave Wireless Components Lett. , vol.12 , pp. 444
    • Fujii, M.1    Russer, P.2
  • 18
    • 0035422394 scopus 로고    scopus 로고
    • A wavelet formulation of finite difference method: Full vector analysis of optical waveguide junctions
    • Aug.
    • M. Fujii and W. J. R. Hoefer, "A wavelet formulation of finite difference method: Full vector analysis of optical waveguide junctions," IEEE J. Quantum Electron., vol. 37, pp. 1015-1029, Aug. 2001.
    • (2001) IEEE J. Quantum Electron. , vol.37 , pp. 1015-1029
    • Fujii, M.1    Hoefer, W.J.R.2
  • 19
    • 0037431129 scopus 로고    scopus 로고
    • Interpolating wavelet collocation method of time dependent Maxwell's equations: Characterization of electrically-large optical waveguide discontinuities
    • ____, "Interpolating wavelet collocation method of time dependent Maxwell's equations: Characterization of electrically-large optical waveguide discontinuities," J. Comp. Phys., vol. 186/2, pp. 666-689, 2003.
    • (2003) J. Comp. Phys. , vol.186 , Issue.2 , pp. 666-689
    • Fujii, M.1    Hoefer, W.J.R.2
  • 20
    • 0035163496 scopus 로고    scopus 로고
    • Application of biorthogonal interpolating wavelets to the galerkin scheme of time dependent Maxwell's equations
    • Jan.
    • ____, "Application of biorthogonal interpolating wavelets to the galerkin scheme of time dependent Maxwell's equations," IEEE Microwave Wireless Components Lett., vol. 11, pp. 22-24, Jan. 2001.
    • (2001) IEEE Microwave Wireless Components Lett. , vol.11 , pp. 22-24
    • Fujii, M.1    Hoefer, W.J.R.2
  • 21
    • 0030125745 scopus 로고    scopus 로고
    • MRTD: New time-domain schemes based on multiresolution analysis
    • Apr.
    • M. Krumpholz and L. P. B. Katehi, "MRTD: New time-domain schemes based on multiresolution analysis," IEEE Trans. Microwave Theory Tech., vol. 44, pp. 555-571, Apr. 1996.
    • (1996) IEEE Trans. Microwave Theory Tech. , vol.44 , pp. 555-571
    • Krumpholz, M.1    Katehi, L.P.B.2
  • 22
    • 0347712985 scopus 로고
    • Third-order optical susceptibilities of liquid and solids
    • R. W. Hellwarth, "Third-order optical susceptibilities of liquid and solids," J. Prog. Quantum Electron., vol. 5, pp. 1-68, 1977.
    • (1977) J. Prog. Quantum Electron. , vol.5 , pp. 1-68
    • Hellwarth, R.W.1
  • 23
    • 0024902625 scopus 로고
    • Theoretical description of transient stimulated Raman scattering in optical fibers
    • Dec.
    • K. J. Blow and D. Wood, "Theoretical description of transient stimulated Raman scattering in optical fibers," IEEE J. Quantum Electron., vol. 25, pp. 2665-2673, Dec. 1989.
    • (1989) IEEE J. Quantum Electron. , vol.25 , pp. 2665-2673
    • Blow, K.J.1    Wood, D.2
  • 24
    • 0000174303 scopus 로고
    • Multiphonon Raman spectrum of silicon
    • Apr.
    • P. A. Temple and C. E. Hathaway, "Multiphonon Raman spectrum of silicon," Phys. Rev. B, vol. 7, no. 8, pp. 3685-3697, Apr. 1973.
    • (1973) Phys. Rev. B , vol.7 , Issue.8 , pp. 3685-3697
    • Temple, P.A.1    Hathaway, C.E.2
  • 25
    • 0037629243 scopus 로고    scopus 로고
    • Observation of Raman emission in silicon waveguides at 1.54 μm
    • Nov.
    • R. Claps, D. Dimitropoulos, Y. Han and B. Jalali, "Observation of Raman emission in silicon waveguides at 1.54 μm," Opt. Express, vol. 10, no. 22, pp. 1305-1313, Nov. 2002.
    • (2002) Opt. Express , vol.10 , Issue.22 , pp. 1305-1313
    • Claps, R.1    Dimitropoulos, D.2    Han, Y.3    Jalali, B.4
  • 26
    • 0034982376 scopus 로고    scopus 로고
    • Time-domain wavelet-Galerkin modeling of two-dimensional electrically large dielectric waveguides
    • May
    • M. Fujii and W. J. R. Hoefer, "Time-domain wavelet-Galerkin modeling of two-dimensional electrically large dielectric waveguides," IEEE Trans. Microwave Theory Tech., vol. 49, pp. 886-892, May 2001.
    • (2001) IEEE Trans. Microwave Theory Tech. , vol.49 , pp. 886-892
    • Fujii, M.1    Hoefer, W.J.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.