메뉴 건너뛰기




Volumn 17, Issue 4, 1999, Pages 677-683

Efficient nonuniform schemes for paraxial and wide-angle finite-difference beam propagation methods

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; ERROR CORRECTION; FINITE DIFFERENCE METHOD; GRADIENT INDEX OPTICS; LIGHT TRANSMISSION; MODAL ANALYSIS;

EID: 0032625125     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/50.754799     Document Type: Article
Times cited : (27)

References (40)
  • 1
    • 0028397208 scopus 로고
    • A guide to electric field propagation techniques for guided-wave optics
    • D. Yevick, "A guide to electric field propagation techniques for guided-wave optics," Opt. Quantum Electron., vol. 26, pp. S185-S197, 1994.
    • (1994) Opt. Quantum Electron. , vol.26
    • Yevick, D.1
  • 2
    • 0031074692 scopus 로고    scopus 로고
    • On beam propagation methods for modeling in integrated optics
    • H. J. W. M. Hoekstra, "On beam propagation methods for modeling in integrated optics," Opt. Quantum Electron., vol. 29, pp. 157-171, 1997.
    • (1997) Opt. Quantum Electron. , vol.29 , pp. 157-171
    • Hoekstra, H.J.W.M.1
  • 3
    • 0018105155 scopus 로고
    • Light propagation in graded-index optical fibers
    • M. D. Feit and J. A. Fleck, Jr., "Light propagation in graded-index optical fibers," Appl. Opt., vol. 17, pp. 3990-3998, 1978.
    • (1978) Appl. Opt. , vol.17 , pp. 3990-3998
    • Feit, M.D.1    Fleck J.A., Jr.2
  • 4
    • 0024622559 scopus 로고
    • Split-step finite difference analysis of rib waveguides
    • D. Yevick and B. Hermansson, "Split-step finite difference analysis of rib waveguides," Electron. Lett., vol. 25, pp. 461-462, 1989.
    • (1989) Electron. Lett. , vol.25 , pp. 461-462
    • Yevick, D.1    Hermansson, B.2
  • 5
    • 0025478065 scopus 로고
    • An assessment of finite difference beam propagation method
    • Y. Chung and N. Dagli, "An assessment of finite difference beam propagation method," IEEE J. Quantum Electron., vol. 26, pp. 1335-1339, 1990.
    • (1990) IEEE J. Quantum Electron. , vol.26 , pp. 1335-1339
    • Chung, Y.1    Dagli, N.2
  • 7
    • 21544452067 scopus 로고
    • Comparison of finite-difference and Fourier-transform solutions for the parabolic wave equation with emphasis on integrated-optics applications
    • R. Scarmozzino and R. M. Osgood, Jr., "Comparison of finite-difference and Fourier-transform solutions for the parabolic wave equation with emphasis on integrated-optics applications," J. Opt. Soc. Amer. A, vol. 8, pp. 724-731, 1991.
    • (1991) J. Opt. Soc. Amer. A , vol.8 , pp. 724-731
    • Scarmozzino, R.1    Osgood R.M., Jr.2
  • 8
    • 84975539339 scopus 로고
    • Forward wide-angle light propagation in semiconductor rib waveguides
    • D. Yevick and M. Glasner, "Forward wide-angle light propagation in semiconductor rib waveguides," Opt. Lett., vol. 15, pp. 174-176, 1990.
    • (1990) Opt. Lett. , vol.15 , pp. 174-176
    • Yevick, D.1    Glasner, M.2
  • 9
    • 84975582150 scopus 로고
    • Wide-angle beam propagation using Padé approximant operators
    • G. R. Hadley, "Wide-angle beam propagation using Padé approximant operators," Opt. Lett., vol. 17, pp. 1426-1428, 1992.
    • (1992) Opt. Lett. , vol.17 , pp. 1426-1428
    • Hadley, G.R.1
  • 11
    • 0024641370 scopus 로고
    • Finite element/finite difference propagation algorithm for integrated optical device
    • T. B. Koch, J. B. Davies, and D. Wickramasinghe, "Finite element/finite difference propagation algorithm for integrated optical device," Electron. Lett., vol. 25, pp. 514-516, 1989.
    • (1989) Electron. Lett. , vol.25 , pp. 514-516
    • Koch, T.B.1    Davies, J.B.2    Wickramasinghe, D.3
  • 12
    • 84927367731 scopus 로고
    • Split-step finite-element method applied to nonlinear integrated optics
    • K. Hayata, A. Misawa, and M. Koshiba, "Split-step finite-element method applied to nonlinear integrated optics," J. Opt. Soc. Amer. B, vol. 7, pp. 1772-1784, 1990.
    • (1990) J. Opt. Soc. Amer. B , vol.7 , pp. 1772-1784
    • Hayata, K.1    Misawa, A.2    Koshiba, M.3
  • 13
    • 0027589384 scopus 로고
    • Transparent boundary for the finite-element beam-propagation method
    • Y. Arai, A. Maruta, and M. Matsuhara, "Transparent boundary for the finite-element beam-propagation method," Opt. Lett., vol. 18, pp. 765-766, 1993.
    • (1993) Opt. Lett. , vol.18 , pp. 765-766
    • Arai, Y.1    Maruta, A.2    Matsuhara, M.3
  • 14
    • 0028408614 scopus 로고
    • Simple nonparaxial beam-propagation method for integrated optics
    • H. E. Hernández-Figueroa, "Simple nonparaxial beam-propagation method for integrated optics," J. Lightwave Technol., vol. 12, pp. 644-649, 1994.
    • (1994) J. Lightwave Technol. , vol.12 , pp. 644-649
    • Hernández-Figueroa, H.E.1
  • 15
    • 84975594385 scopus 로고
    • Beam-propagation algorithm based on the method of lines
    • J. Gerdes and R. Pregla, "Beam-propagation algorithm based on the method of lines," J. Opt. Soc. Amer. B, vol. 8, pp. 389-394, 1991.
    • (1991) J. Opt. Soc. Amer. B , vol.8 , pp. 389-394
    • Gerdes, J.1    Pregla, R.2
  • 16
    • 0041596412 scopus 로고
    • Modal analyses of semiconductor rib waveguides employing nonequidistant grids
    • D. Yevick, J. Yu, M. Munowitz, and D. Vezzetti, "Modal analyses of semiconductor rib waveguides employing nonequidistant grids," J. Opt. Soc. Amer., vol. 8, pp. 1385-1388, 1991.
    • (1991) J. Opt. Soc. Amer. , vol.8 , pp. 1385-1388
    • Yevick, D.1    Yu, J.2    Munowitz, M.3    Vezzetti, D.4
  • 17
    • 0026241082 scopus 로고
    • Analysis of Z-invariant and Z-variant semiconductor rib waveguides by explicit finite difference beam propagation method with nonuniform mesh configuration
    • Y. Chung and N. Dagli, "Analysis of Z-invariant and Z-variant semiconductor rib waveguides by explicit finite difference beam propagation method with nonuniform mesh configuration," IEEE J. Quantum Electron., vol. 27, pp. 2296-2305, 1991.
    • (1991) IEEE J. Quantum Electron. , vol.27 , pp. 2296-2305
    • Chung, Y.1    Dagli, N.2
  • 18
    • 0026106086 scopus 로고
    • Variable grid finite difference methods for study of longitudinally varying planar waveguides
    • M. Artiglia, P. Di Vita, M. Potenza, G. Coppa, G. Lapenta, and P. Ravetto, "Variable grid finite difference methods for study of longitudinally varying planar waveguides," Electron. Lett., vol. 27, pp. 474-475, 1991.
    • (1991) Electron. Lett. , vol.27 , pp. 474-475
    • Artiglia, M.1    Di Vita, P.2    Potenza, M.3    Coppa, G.4    Lapenta, G.5    Ravetto, P.6
  • 19
    • 0027555105 scopus 로고
    • Accurate finite difference beam propagation method for complex integrated optical structures
    • T. Rasmussen, J. H. Povlsen, and A. Bjarklev, "Accurate finite difference beam propagation method for complex integrated optical structures," IEEE Photon. Technol. Lett., vol. 5, pp. 339-342, 1993.
    • (1993) IEEE Photon. Technol. Lett. , vol.5 , pp. 339-342
    • Rasmussen, T.1    Povlsen, J.H.2    Bjarklev, A.3
  • 20
    • 0027574843 scopus 로고
    • The semivectorial beam propagation method
    • P. L. Liu, S. L. Yang, and D. M. Yuan, "The semivectorial beam propagation method," IEEE J. Quantum Electron., vol. 29, pp. 1205-1211, 1993.
    • (1993) IEEE J. Quantum Electron. , vol.29 , pp. 1205-1211
    • Liu, P.L.1    Yang, S.L.2    Yuan, D.M.3
  • 21
    • 0029388177 scopus 로고
    • An FD-BPM with adaptive mesh for longitudinally varying optical structures
    • C. Massini, G. Bellanca, P. Bassi, and R. Sorrentino, "An FD-BPM with adaptive mesh for longitudinally varying optical structures," Opt. Quantum Electron., vol. 27, pp. 951-959, 1995.
    • (1995) Opt. Quantum Electron. , vol.27 , pp. 951-959
    • Massini, C.1    Bellanca, G.2    Bassi, P.3    Sorrentino, R.4
  • 22
    • 0027666768 scopus 로고
    • An adaptive approach to the numerical solution of Fresnel's wave equation
    • F. Schmidt, "An adaptive approach to the numerical solution of Fresnel's wave equation," J. Lightwave Technol., vol. 11, pp. 1425-1434, 1993.
    • (1993) J. Lightwave Technol. , vol.11 , pp. 1425-1434
    • Schmidt, F.1
  • 23
    • 0028400744 scopus 로고
    • Modified numerical technique for beam propagation method based on the Galerkin's technique
    • G. S. Pu, T. Mizumoto, and Y. Naito, "Modified numerical technique for beam propagation method based on the Galerkin's technique," IEICE Trans. Electron., vol. E77-C, pp. 510-514, 1994.
    • (1994) IEICE Trans. Electron. , vol.E77-C , pp. 510-514
    • Pu, G.S.1    Mizumoto, T.2    Naito, Y.3
  • 24
    • 0030243268 scopus 로고    scopus 로고
    • A wide-angle finite-element beam propagation method
    • M. Koshiba and Y. Tsuji, "A wide-angle finite-element beam propagation method," IEEE Photon. Technol. Lett., vol. 8, pp. 1208-1210, 1996.
    • (1996) IEEE Photon. Technol. Lett. , vol.8 , pp. 1208-1210
    • Koshiba, M.1    Tsuji, Y.2
  • 25
    • 0011255593 scopus 로고    scopus 로고
    • A wide-angle beam propagation method using a finite element scheme
    • Y. Tsuji, M. Koshiba, and T. Tanabe, "A wide-angle beam propagation method using a finite element scheme," IEICE Trans., vol. J79-C-I, pp. 381-388, 1996.
    • (1996) IEICE Trans. , vol.J79-C-I , pp. 381-388
    • Tsuji, Y.1    Koshiba, M.2    Tanabe, T.3
  • 26
    • 0029324174 scopus 로고
    • Modified finite-difference beam propagation method based on the generalized Douglas scheme for variable coefficients
    • J. Yamauchi, J. Shibayama, and H. Nakano, "Modified finite-difference beam propagation method based on the generalized Douglas scheme for variable coefficients," IEEE Photon. Technol. Lett., vol. 7, pp. 661-663, 1995.
    • (1995) IEEE Photon. Technol. Lett. , vol.7 , pp. 661-663
    • Yamauchi, J.1    Shibayama, J.2    Nakano, H.3
  • 27
    • 0030262940 scopus 로고    scopus 로고
    • Improved finite-difference beam-propagation method based on the generalized Douglas scheme and its application to semivectorial analysis
    • J. Yamauchi, J. Shibayama, O. Saito, O. Uchiyama, and H. Nakano, "Improved finite-difference beam-propagation method based on the generalized Douglas scheme and its application to semivectorial analysis," J. Lightwave Technol., vol. 14, pp. 2401-2406, 1996.
    • (1996) J. Lightwave Technol. , vol.14 , pp. 2401-2406
    • Yamauchi, J.1    Shibayama, J.2    Saito, O.3    Uchiyama, O.4    Nakano, H.5
  • 28
    • 0029221631 scopus 로고
    • Wide-angle propagating beam analysis based on the generalized Douglas scheme for variable coefficients
    • J. Yamauchi, J. Shibayama, and H. Nakano, "Wide-angle propagating beam analysis based on the generalized Douglas scheme for variable coefficients," Opt. Lett., vol. 20, pp. 7-9, 1995.
    • (1995) Opt. Lett. , vol.20 , pp. 7-9
    • Yamauchi, J.1    Shibayama, J.2    Nakano, H.3
  • 29
    • 0030834726 scopus 로고    scopus 로고
    • Finite-difference beam propagation method based on the generalized Douglas scheme for a nonuniform grid
    • J. Yamauchi, J. Shibayama, M. Sekiguchi, and H. Nakano, "Finite-difference beam propagation method based on the generalized Douglas scheme for a nonuniform grid," IEEE Photon. Technol. Lett., vol. 9, pp. 67-69, 1997.
    • (1997) IEEE Photon. Technol. Lett. , vol.9 , pp. 67-69
    • Yamauchi, J.1    Shibayama, J.2    Sekiguchi, M.3    Nakano, H.4
  • 30
    • 0031258312 scopus 로고    scopus 로고
    • Highly efficient transparent boundary conditions for finite difference beam propagation method at order four
    • C. Vassallo and M. J. Van der Keur, "Highly efficient transparent boundary conditions for finite difference beam propagation method at order four," J. Lightwave Technol., vol. 15, pp. 1958-1965, 1997.
    • (1997) J. Lightwave Technol. , vol.15 , pp. 1958-1965
    • Vassallo, C.1    Van Der Keur, M.J.2
  • 31
    • 0009095572 scopus 로고    scopus 로고
    • Boundaryless beam propagation
    • F. Ladouceur, "Boundaryless beam propagation," Opt. Lett., vol. 21, pp. 4-5, 1996.
    • (1996) Opt. Lett. , vol.21 , pp. 4-5
    • Ladouceur, F.1
  • 32
    • 0029277299 scopus 로고
    • Fourier decomposition method applied to mapped infinite domains: Scalar analysis of dielectric waveguides down to modal cutoff
    • S. J. Hewlett and F. Ladouceur, "Fourier decomposition method applied to mapped infinite domains: Scalar analysis of dielectric waveguides down to modal cutoff," J. Lightwave Technol., vol. 13, pp. 375-383, 1995.
    • (1995) J. Lightwave Technol. , vol.13 , pp. 375-383
    • Hewlett, S.J.1    Ladouceur, F.2
  • 33
    • 0032073776 scopus 로고    scopus 로고
    • Solutions of the quasivector wave equation for optical waveguides in a mapped infinite domains by the Galerkin's method
    • K. M. Lo and E. H. Li, "Solutions of the quasivector wave equation for optical waveguides in a mapped infinite domains by the Galerkin's method," J. Lightwave Technol., vol. 16, pp. 937-944, 1998.
    • (1998) J. Lightwave Technol. , vol.16 , pp. 937-944
    • Lo, K.M.1    Li, E.H.2
  • 34
    • 84882137661 scopus 로고
    • Multistep method for wide-angle beam propagation
    • G. R. Hadley, "Multistep method for wide-angle beam propagation," Opt. Lett., vol. 17, pp. 1743-1745, 1992.
    • (1992) Opt. Lett. , vol.17 , pp. 1743-1745
    • Hadley, G.R.1
  • 36
    • 0031198202 scopus 로고    scopus 로고
    • Wide-angle finite-element beam propagation method using Padé approximation
    • O. Mitomi and K. Kasaya, "Wide-angle finite-element beam propagation method using Padé approximation," Electron. Lett., vol. 33, pp. 1461-1462, 1997.
    • (1997) Electron. Lett. , vol.33 , pp. 1461-1462
    • Mitomi, O.1    Kasaya, K.2
  • 37
    • 84975542948 scopus 로고
    • Correspondence of variational finite-difference (relaxation) and imaginary-distance propagation methods for modal analysis
    • D. Yevick and W. Bardyszewski, "Correspondence of variational finite-difference (relaxation) and imaginary-distance propagation methods for modal analysis," Opt. Lett., vol. 17, pp. 329-330, 1992.
    • (1992) Opt. Lett. , vol.17 , pp. 329-330
    • Yevick, D.1    Bardyszewski, W.2
  • 38
    • 0027629452 scopus 로고
    • Efficient and accurate vector mode calculations by beam propagation method
    • C. L. Xu, W. P. Huang, and S. K. Chaudhuri, "Efficient and accurate vector mode calculations by beam propagation method," J. Lightwave Technol., vol. 11, pp. 1209-1215, 1993.
    • (1993) J. Lightwave Technol. , vol.11 , pp. 1209-1215
    • Xu, C.L.1    Huang, W.P.2    Chaudhuri, S.K.3
  • 39
    • 0028495123 scopus 로고
    • A study and optimization of eigenmode calculations using imaginary-distance beam-propagation method
    • S. Jüngling and J. C. Chen, "A study and optimization of eigenmode calculations using imaginary-distance beam-propagation method," IEEE J. Quantum Electron., vol. 30, pp. 2098-2105, 1994.
    • (1994) IEEE J. Quantum Electron. , vol.30 , pp. 2098-2105
    • Jüngling, S.1    Chen, J.C.2
  • 40
    • 84975575769 scopus 로고
    • Transparent boundary condition for beam propagation
    • G. R. Hadley, "Transparent boundary condition for beam propagation," Opt. Lett., vol. 16, pp. 624-626, 1991.
    • (1991) Opt. Lett. , vol.16 , pp. 624-626
    • Hadley, G.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.