메뉴 건너뛰기




Volumn 24, Issue 2, 2006, Pages 1048-1055

A stable fourth-order FDTD method for modeling electrically long dielectric waveguides

Author keywords

Convergence of numerical methods; Dielectric waveguides; Finite difference time domain (FDTD) methods; Optical waveguide; Waveguide discontinuities

Indexed keywords

COMPUTATIONAL COSTS; FOURTH ORDER METHODS; NUMERICAL CHARACTERISTICS; NUMERICAL EFFICIENCY; WAVEGUIDE DISCONTINUITIES;

EID: 33947177851     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2005.862440     Document Type: Article
Times cited : (18)

References (23)
  • 1
    • 84894021661 scopus 로고
    • Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media
    • May
    • K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propag., vol. AP-14, no. 3, pp. 302-307, May 1966.
    • (1966) IEEE Trans. Antennas Propag , vol.AP-14 , Issue.3 , pp. 302-307
    • Yee, K.S.1
  • 4
    • 0024905009 scopus 로고
    • A finite-difference time-domain method for the design and analysis of guided-wave optical structures
    • Dec
    • S.-T. Chu and S. K. Chaudhuri, "A finite-difference time-domain method for the design and analysis of guided-wave optical structures," J. Lightw. Technol., vol. 7, no. 12, pp. 2033-2038, Dec. 1989.
    • (1989) J. Lightw. Technol , vol.7 , Issue.12 , pp. 2033-2038
    • Chu, S.-T.1    Chaudhuri, S.K.2
  • 5
    • 0034269992 scopus 로고    scopus 로고
    • The second-order condition for the dielectric interface orthogonal to the Yee-lattice axis in the FDTD scheme
    • Sep
    • T. Hirono, Y. Shibata, W. W. Lui, S. Seki, and Y. Yoshikuni, "The second-order condition for the dielectric interface orthogonal to the Yee-lattice axis in the FDTD scheme," IEEE Microw. Guided Wave Lett., vol. 10, no. 9, pp. 359-361, Sep. 2000.
    • (2000) IEEE Microw. Guided Wave Lett , vol.10 , Issue.9 , pp. 359-361
    • Hirono, T.1    Shibata, Y.2    Lui, W.W.3    Seki, S.4    Yoshikuni, Y.5
  • 6
    • 0001110028 scopus 로고
    • On the accuracy of numerical wave simulations based on finite methods
    • Dec
    • A. C. Cangellaris and R. Lee, "On the accuracy of numerical wave simulations based on finite methods," J. Electromagn. Waves Appl., vol. 6, no. 12, pp. 1635-1653, Dec. 1992.
    • (1992) J. Electromagn. Waves Appl , vol.6 , Issue.12 , pp. 1635-1653
    • Cangellaris, A.C.1    Lee, R.2
  • 7
    • 0028447966 scopus 로고
    • Phase-error control for FDTD methods of second-and fourth-order accuracy
    • Jun
    • P. G. Petropoulos, "Phase-error control for FDTD methods of second-and fourth-order accuracy," IEEE Trans. Antennas Propag., vol. 42, no. 6, pp. 859-864, Jun. 1994.
    • (1994) IEEE Trans. Antennas Propag , vol.42 , Issue.6 , pp. 859-864
    • Petropoulos, P.G.1
  • 8
    • 0003643274 scopus 로고
    • Time domain finite difference computation for Maxwell's equations,
    • Ph.D. dissertation, Dept. Elect. Eng, Univ. California, Berkeley
    • J. Fang, "Time domain finite difference computation for Maxwell's equations," Ph.D. dissertation, Dept. Elect. Eng., Univ. California, Berkeley, 1989.
    • (1989)
    • Fang, J.1
  • 9
    • 0031076183 scopus 로고    scopus 로고
    • A modified FDTD (2,4) scheme for modeling electrically large structures with high-phase accuracy
    • Feb
    • 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 Propag., vol. 45, no. 2, pp. 254-264, Feb. 1997.
    • (1997) IEEE Trans. Antennas Propag , vol.45 , Issue.2 , pp. 254-264
    • Hadi, M.F.1    Piket-May, M.2
  • 10
    • 0000607179 scopus 로고    scopus 로고
    • High-order compact-difference schemes for time-dependent Maxwell equations
    • Aug
    • J. S. Shang, "High-order compact-difference schemes for time-dependent Maxwell equations," J. Comput. Phys., vol. 153, no. 2, pp. 312-333, Aug. 1999.
    • (1999) J. Comput. Phys , vol.153 , Issue.2 , pp. 312-333
    • Shang, J.S.1
  • 11
    • 0000522244 scopus 로고    scopus 로고
    • A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations
    • Apr
    • A. Yefet and P. G. Petropoulos, "A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations," J. Comput. Phys., vol. 168, no. 2, pp. 286-315, Apr. 2001.
    • (2001) J. Comput. Phys , vol.168 , Issue.2 , pp. 286-315
    • Yefet, A.1    Petropoulos, P.G.2
  • 12
    • 0031271311 scopus 로고    scopus 로고
    • Toward the construction of a fourth-order difference scheme for transient EM wave simulation: Staagered grid approach
    • Nov
    • J. L. Young, D. V. Gaitonde, and J. S. Shang, "Toward the construction of a fourth-order difference scheme for transient EM wave simulation: Staagered grid approach," IEEE Trans. Antennas Propag., vol. 45, no. 11, pp. 1573-1580, Nov. 1997.
    • (1997) IEEE Trans. Antennas Propag , vol.45 , Issue.11 , pp. 1573-1580
    • Young, J.L.1    Gaitonde, D.V.2    Shang, J.S.3
  • 13
    • 0034770145 scopus 로고    scopus 로고
    • Numerical solution of the time-domain Maxwell equations using high-accuracy finite difference methods
    • Sep
    • H. M. Jurgens and D. W. Zingg, "Numerical solution of the time-domain Maxwell equations using high-accuracy finite difference methods," SIAM J. Sci. Comput., vol. 22, no. 5, pp. 1675-1696, Sep. 2000.
    • (2000) SIAM J. Sci. Comput , vol.22 , Issue.5 , pp. 1675-1696
    • Jurgens, H.M.1    Zingg, D.W.2
  • 14
    • 0035509969 scopus 로고    scopus 로고
    • A hybrid fourth-order FDTD utilizing a second-order FDTD grid
    • Nov
    • S. V. Georgakopolous, R. A. Renaut, and C. A. Balanis, "A hybrid fourth-order FDTD utilizing a second-order FDTD grid," IEEE Microw. Compon. Lett., vol. 11, no. 11, pp. 462-464, Nov. 2001.
    • (2001) IEEE Microw. Compon. Lett , vol.11 , Issue.11 , pp. 462-464
    • Georgakopolous, S.V.1    Renaut, R.A.2    Balanis, C.A.3
  • 15
    • 0034274736 scopus 로고    scopus 로고
    • A generalized methodology based on higher-order conventional and nonstandard FDTD concepts for the systematic development of enhanced dispersionless wide-angle PMLs
    • N. V. Kantartzis and T. D. Tsiboukis, "A generalized methodology based on higher-order conventional and nonstandard FDTD concepts for the systematic development of enhanced dispersionless wide-angle PMLs," Int. J. Numeric. Model., vol. 13, pp. 417-440, 2000.
    • (2000) Int. J. Numeric. Model , vol.13 , pp. 417-440
    • Kantartzis, N.V.1    Tsiboukis, T.D.2
  • 16
    • 18144402084 scopus 로고    scopus 로고
    • A fourth-order accurate FDTD scheme with long-time stability
    • Apr
    • K. P. Hwang, "A fourth-order accurate FDTD scheme with long-time stability," IEEE Microw. Compon. Lett., vol. 15, no. 4, pp. 271-273, Apr. 2005.
    • (2005) IEEE Microw. Compon. Lett , vol.15 , Issue.4 , pp. 271-273
    • Hwang, K.P.1
  • 17
    • 0034436596 scopus 로고    scopus 로고
    • Staggered time integrators for wave equations
    • Jun
    • M. Ghrist, B. Fornberg, and T. Driscoll, "Staggered time integrators for wave equations," SIAM J. Numer. Anal., vol. 38, no. 3, pp. 718-741, Jun. 2000.
    • (2000) SIAM J. Numer. Anal , vol.38 , Issue.3 , pp. 718-741
    • Ghrist, M.1    Fornberg, B.2    Driscoll, T.3
  • 18
    • 0035250603 scopus 로고    scopus 로고
    • Analyzing the stability of the FDTD technique by combining the von Neumann method with the Routh-Hurwitz criterion
    • Feb
    • J. A. Pereda, L. A. Vielva, A. Vegas, and A. Prieto, "Analyzing the stability of the FDTD technique by combining the von Neumann method with the Routh-Hurwitz criterion," IEEE Trans. Microw. Theory Tech., vol. 49, no. 2, pp. 377-381, Feb. 2001.
    • (2001) IEEE Trans. Microw. Theory Tech , vol.49 , Issue.2 , pp. 377-381
    • Pereda, J.A.1    Vielva, L.A.2    Vegas, A.3    Prieto, A.4
  • 21
    • 0030384174 scopus 로고    scopus 로고
    • An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices
    • Dec
    • S. D. Gedney, "An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices," IEEE Trans. Antennas Propag., vol. 44, no. 12, pp. 1630-1639, Dec. 1996.
    • (1996) IEEE Trans. Antennas Propag , vol.44 , Issue.12 , pp. 1630-1639
    • Gedney, S.D.1
  • 22
    • 1942453713 scopus 로고    scopus 로고
    • Pade boundary conditions for the finite-element modeling of arbitrary planar junctions
    • Feb
    • C. E. Rubio-Mercedes and H. E. Hernandez-Figueroa, "Pade boundary conditions for the finite-element modeling of arbitrary planar junctions," J. Lightw. Technol., vol. 22, no. 2, pp. 669-676, Feb. 2004.
    • (2004) J. Lightw. Technol , vol.22 , Issue.2 , pp. 669-676
    • Rubio-Mercedes, C.E.1    Hernandez-Figueroa, H.E.2
  • 23
    • 2942722589 scopus 로고    scopus 로고
    • Novel finite element analysis of optical wave-guide discontinuity problems
    • May
    • S. S. A. Obayya, "Novel finite element analysis of optical wave-guide discontinuity problems," J. Lightw. Technol., vol. 22, no. 5, pp. 1420-1425, May. 2004.
    • (2004) J. Lightw. Technol , vol.22 , Issue.5 , pp. 1420-1425
    • Obayya, S.S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.