Modal absorption in the FDTD method: A critical review

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields

Volumn 10, Issue 4, 1997, Pages 245-264

  Alimenti, F ^a,b,c,d   Mezzanotte, P ^a,e   Roselli, L ^a   Sorrentino, R ^a  

^a UNIVERSITY OF PERUGIA   (Italy)

^b DASA   (Germany)

^c DASA ^*

^d TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^e UNIVERSITÀ POLITECNICA DELLE MARCHE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; TIME DOMAIN ANALYSIS; WAVEGUIDES;

ABSORBING BOUNDARY CONDITION; DISPERSIVE BOUNDARY CONDITION; FINITE DIFFERENCE TIME DOMAIN METHOD; MODAL ABSORPTION;

SEMICONDUCTOR DEVICE STRUCTURES;

EID: 0031192424     PISSN: 08943370     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1204(199707)10:4<245::AID-JNM278>3.0.CO;2-P     Document Type: Review

References (47)

1. K. S. Yee, 'Numerical solution of initial boundary value problems involving Maxwell's equation in isotropic media', IEEE Trans. Antennas Propag., 14, 302-307 (1966).
2. G. Mur, 'Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations', IEEE Trans. Electromagn. Compat., EMC-23, (4), 377-382 (1981).
3. A. Taflove and M. E. Brodwin, 'Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell's equations', IEEE Trans. Microwave Theory Tech., MTT-23, (8), 623-630 (1975).
4. B. Engquist and A. Majda, 'Absorbing boundary conditions for the numerical simulation of waves', Math. Comput., 31, 629-651 (1977).
5. K. R. Demarest, 'A finite difference-time domain technique for modeling narrow apertures in conducting scatterers', IEEE Trans. Antennas Propag., AP-35, (7), 826-831 (1987).
6. F. Harfoush, A. Taflove and G. A. Kriegsmann, 'A numerical technique for analyzing electromagnetic wave scattering from moving surfaces in one and two dimensions," IEEE Trans. Antennas Propag., AP-37, 55-63 (1989).
7. C. L. Britt, 'Solution of electromagnetic scattering using time domain techniques', IEEE Trans. Antennas Propag., 37, (9), 1181-1192 (1989).
8. J. Van Hese and D. De Zutter, 'Modeling of discontinuities in general coaxial waveguide structures by the FDTD-method', IEEE Trans. Microwave Theory, Tech., 40, (3), 547-556 (1992).
9. P. Mezzanotte, M. Mongiardo, L. Roselli, R. Sorrentino and W. Heinrich, 'Analysis of packaged microwave integrated circuits by FDTD,' IEEE Trans. Microwave Theory Tech., 42, (9), 1796-1801 (1994).
10. X. Zhang, J. Fang and K. Mei, 'Calculation of the dispersive characteristics of microstrips by time-domain finite difference method,' IEEE Trans. Microwave Theory Tech., 36, (12), 1775-1787 (1988).
11. J. Moore and H. Ling, 'Characterization of a 90° microstrip bend with arbitrary miter via time-domain finite difference method'. IEEE Trans. Microwave Theory Tech., 38, (4), 405-410 (1990).
12. R. L. Higdon, 'Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation', Math. Comput., 47, (176), 437-459 (1986).
13. R. L. Higdon, 'Numerical absorbing boundary conditions for the wave equation', Math. Comput., 49, (179), 65-90 (1987).
14. Z. Bi, K. Wu, C. Wu and J. Litva. 'A dispersive boundary condition for microstrip component analysis using the FD-TD method,' IEEE Trans. Microwave Theory Tech., 40, (4), 774-776 (1992).
15. K. K. Mei and J. Fang, 'Superabsorption - A method to improve absorbing boundary conditions', IEEE Trans. Antennas Propag., 40, (9), 1001-1010 (1992).
16. J. Fang, 'Absorbing boundary conditions applied to model wave propagation in microwave integrated-circuits', IEEE Trans. Microwave Theory Tech., 42, (8), 1506-1513 (1994).
17. C. J. Railton and E. M. Daniel, 'Comparison of the effect of discretisation on absorbing boundary algorithms in finite difference time domain method,' Electron. Lett., 28, (20), 1891-1893 (1992).
18. C. J. Railton and E. M. Daniel, 'A comparison of the properties of radiating boundary conditions in the FDTD method for finite discretisation and non-planar waves', IEEE Trans. Antennas Propag., 42, (2), 276-281 (1994).
19. G. Liang, Y. W. Liu and K. Mei, 'Analysis of coplanar waveguide by the time-domain finite-difference method', in IEEE International Microwave Symposium, 1989, pp. 1005-1008.
20. M. Rittweger and I. Wolff, 'Analysis of complex passive (M)MIC-components using the finite-difference time-domain approach', in IEEE International Microwave Symposium, 1990, pp. 1147-1150.
21. M. Rittweger, M. Abdo and I. Wolff, 'Full-wave analysis of coplanar discontinuities considering three-dimensional bond wires', in IEEE International Microwave Symposium, 1991, pp. 465-468.
22. P. Mezzanotte, G. Pompei, L. Roselli and R. Sorrentino, 'FD-TD analysis of coplanar wave guide to slotline transitions accounting for air-bridge, shielding effects and coaxial connectors,' in 24th European Microwave Conference, Cannes, France, Sept. 1994, pp. 1929-1932.
23. C. J. Railton, E. M. Daniel, D. L. Paul and J. P. McGeehan, Optimized absorbing boundary-conditions for the analysis of planar circuits using the finite-difference time-domain method', IEEE Trans. Microwave Theory Tech., 41, (2), 290-297 (1993).
24. D.-C. Niu, B. Houshmand and T. Itoh, 'Analysis of complex waveguide structures using the finite-difference time-domain method,' in IEEE MTT-S Int. Microwave Symposium, vol. 2, San Diego, CA, 1994, p. 697.
25. A. Reineix and B. Jecko, 'Analysis of microstrip patch antennas using finite difference time domain method', IEEE Trans. Antennas Propag., 37, (11), 1361-1369 (1989).
26. J.-P. Berenger, 'A perfectly matched layer for the absorption of electromagnetics waves,' J. Comput. Phys., 114, (1), 185-200 (1994).
27. B. Chen, D. G. Fang and B. H. Zhou, 'Modified Berenger PML absorbing condition for FD-TD meshes', IEEE Microwave Guided Wave Lett., 5, (11), 399-401 (1995).
28. A. Bahr, A. Lauer and I. Wolff, 'Application of the PML absorbing boundary condition to the FDTD analysis of microwave circuits', in IEEE MTT-S Int. Microwave Symposium, vol. 1, Orlando, FL, 1995, pp. 27-30.
29. A. Alexanian, N. J. Kolias, R. C. Compton and R. A. York, '3D-FDTD analysis of quasi optical arrays using Floquet boundary conditions and Berenger's PML', IEEE Microwave Guided Wave Lett., 6, (3), 183-140 (1996).
30. C. Eswarappa, P. M. So and W. J. R. Hoefer, 'New procedures for 2-D and 3-D microwave circuit analysis with the TLM method', in IEEE International Symposium, Dallas, TX, 1990, pp. 661-664.
31. M. Righi, M. Mongiardo, R. Sorrentino and W. J. R. Hoefer, 'Efficient TLM diakoptics for separable structures', in IEEE International Microwave Symposium, Atlanta, GA, June 1993, pp. 425-428.
32. F. Moglie, T. Rozzi, P. Marcozzi and A. Schiavoni, 'A new termination condition for the application of FDTD techniques to discontinuity problems in close homogenous waveguide,' IEEE Microwave Guided Wave Lett., 2, (12), 475-477 (1992).
33. E. Tentzeris, M. Krumpholtz, N. Dib and L. B. Katehi, 'A waveguide absorber based on analytic Green's functions', in 25th European Microwave Conference, Bologna, Italy, Sept. 1995, pp. 251-254.
34. T.-W. Huang, B. Houshmand and T. Itoh, 'The FDTD diakoptics method', in IEEE International Microwave Symposium, Atlanta, GA, 1993, pp. 1435-1438.
35. T.-W. Huang, B. Houshmand and T. Itoh, 'The implementation of time-domain diakoptics in the FDTD method', IEEE Trans. Microwave Theory Tech., 42, (11), 2149-2155 (1994).
36. V. Grimm, 'Absorbing boundary conditions for the FDTD-method in a hollow waveguide', Master's thesis, Istituto di Elettronica, Perugia, I, 1994.
37. F. Alimenti, P. Mezzanotte, L. Roselli and R. Sorrentino, 'Efficient analysis of waveguide components by combined 1D-3D FDTD method,' in 25th European Microwave Conference, Bologna, Italy, Sept. 1995, pp. 449-452.
38. M. Werthen, M. Rittweger and I. Wolff, 'FDTD simulation of waveguide junctions using a new boundary condition for rectangular waveguides', in 24th European Microwave Conference, vol. 24, Cannes, France, Sept. 1994, pp. 1715-1719.
39. M. Werthen, M. Rittweger and I. Wolff, 'Multi-mode simulation of homogeneous waveguide components using a combination of the FDTD and FD2 method', in 25th European Microwave Conference, Bologna, Italy, Sept. 1995, pp. 234-237.
40. A. Taflove, Computational Electrodynamics. Artech House Inc., Norwood, MA, 1995.
41. M. Mrozowski, M. Niedźwiecki and P. Suchomski, 'A fast recursive highly dispersive absorbing boundary condition using time domain diakoptics and Laguerre polynomials,' IEEE Microwave Guided Wave Lett., 5, (6), 183-185 (1995).
42. C. E. Cook and M. Bernfeld, Radar Signals, an Introduction to Theory and Application, Academic Press, 1967.
43. A. V. Oppenheim and R. W. Schafer, Discrete Time Signal Processing, Prentice Hall, 1975.
44. M. Mrozowski, 'Function expansion algorithms for the time-domain analysis of shielded structures supporting electromagnetic waves,' Int. J. Numer. Model., 7, (1), 1994, pp. 77-84.
45. F. Alimenti, P. Mezzanotte, L. Roselli and R. Sorrentino, 'Efficient analysis of waveguide components by FDTD combined with time domain modal expansion,' IEEE Microwave Guided Wave Lett., 5, (10), 1995, pp. 351-353.
46. A. C. Cangellaris, 'Numerical stability and numerical dispersion of a compact 2D-FDTD method used for the dispersion analysis of waveguides', IEEE Microwave Guided Wave Lett., 3, (1), 3-5 (1993).
47. A. Taflove and K. Umashankar, 'The finite-difference time-domain method for numerical modeling of electromagnetic wave interactions', Electromagnetics, 10, 105-126 (1990).