메뉴 건너뛰기




Volumn 16, Issue 10, 1998, Pages 1915-1920

Stability and numerical dispersion of symplectic fourth-order time-domain schemes for optical field simulation

Author keywords

Electromagnetic fields; FDTD method; Numerical analysis; Numerical dispersion; Numerical stability; Optical propagation; Optical waveguide theory; Symplectic integrator

Indexed keywords

COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; OPTICAL WAVEGUIDES; REFRACTIVE INDEX; TIME DOMAIN ANALYSIS;

EID: 0032182706     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/50.721080     Document Type: Article
Times cited : (32)

References (23)
  • 1
    • 84894021661 scopus 로고
    • Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media
    • K. S. Yee, " Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propagat., vol. AP-14, pp. 302-307, 1966.
    • (1966) IEEE Trans. Antennas Propagat. , vol.AP-14 , pp. 302-307
    • Yee, K.S.1
  • 3
    • 0024905009 scopus 로고
    • A finite-difference time-domain method for the design and analysis of guided-wave optical structures
    • S. T. Chu and S. K. Chaudhuri, "A finite-difference time-domain method for the design and analysis of guided-wave optical structures," J. Lightwave Technol., vol. 7, pp. 2033-2038, 1989.
    • (1989) J. Lightwave Technol. , vol.7 , pp. 2033-2038
    • Chu, S.T.1    Chaudhuri, S.K.2
  • 4
    • 0026172147 scopus 로고
    • A scalar finite-difference time-domain approach to guided-wave optics
    • W. P. Huang, S. T. Chu, A. Goss, and S. K. Chaudhuri, "A scalar finite-difference time-domain approach to guided-wave optics," IEEE Photon. Technol. Lett., vol. 3, pp. 524-526, 1991.
    • (1991) IEEE Photon. Technol. Lett. , vol.3 , pp. 524-526
    • Huang, W.P.1    Chu, S.T.2    Goss, A.3    Chaudhuri, S.K.4
  • 5
    • 0031646631 scopus 로고    scopus 로고
    • Analysis of optical waveguides with high-reflection coatings using the FD-TD method
    • J. Yamauchi, H. Kanbara, and H. Nakano, "Analysis of optical waveguides with high-reflection coatings using the FD-TD method," IEEE Photon. Technol. Lett., vol. 10, pp. 111-113, 1998.
    • (1998) IEEE Photon. Technol. Lett. , vol.10 , pp. 111-113
    • Yamauchi, J.1    Kanbara, H.2    Nakano, H.3
  • 10
    • 34748911441 scopus 로고
    • A fourth order scheme for the FDTD algorithm applied to Maxwell's equations
    • Chicago, IL
    • T. Deveze, L. Beaulieu, and W. Tabbara, "A fourth order scheme for the FDTD algorithm applied to Maxwell's equations," in Proc. IEEE Antennas Propagat. Soc. Int. Symp., Chicago, IL, 1992, pp. 346-349.
    • (1992) Proc. IEEE Antennas Propagat. Soc. Int. Symp. , pp. 346-349
    • Deveze, T.1    Beaulieu, L.2    Tabbara, W.3
  • 11
    • 0001110028 scopus 로고
    • On the accuracy of numerical wave simulations on finite methods
    • A. C. Cangellaris and R. Lee, "On the accuracy of numerical wave simulations on finite methods," J. Electromagn. Waves Applicat., vol. 6, pp. 1635-1653, 1992.
    • (1992) J. Electromagn. Waves Applicat. , vol.6 , pp. 1635-1653
    • Cangellaris, A.C.1    Lee, R.2
  • 12
    • 0027867271 scopus 로고
    • Relative accuracy of several finite-difference time-domain methods in two and three dimensions
    • K. L. Shlager, J. G. Maloney, S. L. Ray, and A. F. Peterson, "Relative accuracy of several finite-difference time-domain methods in two and three dimensions," IEEE Trans. Antennas Propagat., vol. 41, pp. 1732-1737, 1993.
    • (1993) IEEE Trans. Antennas Propagat. , vol.41 , pp. 1732-1737
    • Shlager, K.L.1    Maloney, J.G.2    Ray, S.L.3    Peterson, A.F.4
  • 13
    • 0028447966 scopus 로고
    • Phase error control for FD-TD methods of second and fourth order accuracy
    • P. G. Petropoulos, "Phase error control for FD-TD methods of second and fourth order accuracy," IEEE Trans. Antennas Propagat., vol. 42, pp. 859-862, 1994.
    • (1994) IEEE Trans. Antennas Propagat. , vol.42 , pp. 859-862
    • Petropoulos, P.G.1
  • 14
    • 0030244049 scopus 로고    scopus 로고
    • A higher order FDTD method for EM propagation in a collisionless cold plasma
    • J. L. Young, "A higher order FDTD method for EM propagation in a collisionless cold plasma," IEEE Trans. Antennas Propagat., vol. 44, pp. 1283-1289, 1996.
    • (1996) IEEE Trans. Antennas Propagat. , vol.44 , pp. 1283-1289
    • Young, J.L.1
  • 15
    • 0031076183 scopus 로고    scopus 로고
    • A modified FDTD (2,4) scheme for modeling electrically large structures with high-phase accuracy
    • M. F. Hadi and M. Piket-May, "A modified FDTD (2,4) scheme for modeling electrically large structures with high-phase accuracy," IEEE Trans. Antennas Propagat., vol. 45, pp. 254-264, 1997.
    • (1997) IEEE Trans. Antennas Propagat. , vol.45 , pp. 254-264
    • Hadi, M.F.1    Piket-May, M.2
  • 16
    • 0028259785 scopus 로고
    • Fourth-order scheme for the wave equation, Maxwell equations, and linearized elastodynamic equations
    • J. Toumela, "Fourth-order scheme for the wave equation, Maxwell equations, and linearized elastodynamic equations," Numerical Methods for PDEs, vol. 10, pp. 33-63, 1994.
    • (1994) Numerical Methods for PDEs , vol.10 , pp. 33-63
    • Toumela, J.1
  • 17
    • 0031234003 scopus 로고    scopus 로고
    • Time-domain simulation of electromagnetic field using a symplectic integrator
    • T. Hirono, W. W. Lui, and K. Yokoyama, "Time-domain simulation of electromagnetic field using a symplectic integrator," IEEE Microwave Guided Wave Lett., vol. 7, pp. 279-281, 1997.
    • (1997) IEEE Microwave Guided Wave Lett. , vol.7 , pp. 279-281
    • Hirono, T.1    Lui, W.W.2    Yokoyama, K.3
  • 20
    • 0003758310 scopus 로고
    • London, U.K.,: McGraw-Hill, ch. 14
    • L. I. Schiff, Quantum Mechanics. London, U.K.,: McGraw-Hill, 1968, ch. 14.
    • (1968) Quantum Mechanics
    • Schiff, L.I.1
  • 21
    • 33646388286 scopus 로고
    • Fourth-order symplectic integration
    • E. Forest and R. D. Ruth, "Fourth-order symplectic integration," Physica D, vol. 43, pp. 105-117, 1990.
    • (1990) Physica D , vol.43 , pp. 105-117
    • Forest, E.1    Ruth, R.D.2
  • 22
    • 0040114714 scopus 로고
    • Recent progress in the theory and application of symplectic integrators
    • H. Yoshida, "Recent progress in the theory and application of symplectic integrators," Celest. Mech., vol. 56, pp. 27-43, 1993.
    • (1993) Celest. Mech. , vol.56 , pp. 27-43
    • Yoshida, H.1
  • 23
    • 0000125555 scopus 로고
    • Group velocity in finite difference schemes
    • L. N. Trefethen, "Group velocity in finite difference schemes," SIAM Rev., vol. 24, pp. 113-136, 1982.
    • (1982) SIAM Rev. , vol.24 , pp. 113-136
    • Trefethen, L.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.