A systematic and topologically stable conformal finite-difference time-domain algorithm for modeling curved dielectric interfaces in three dimensions

IEEE Transactions on Microwave Theory and Techniques

Volumn 51, Issue 3, 2003, Pages 839-847

  Kosmanis, Theodoros I ^a   Tsiboukis, Theodoros D ^a  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

Author keywords

Conformal finite difference time domain (CFDTD); Dielectric interfaces; Resonators

Indexed keywords

ALGORITHMS; CONFORMAL MAPPING; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; RESONATORS; TIME DOMAIN ANALYSIS;

DIELECTRIC INTERFACES; DIELECTRIC SURFACE;

DIELECTRIC DEVICES;

EID: 0037361257     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMTT.2003.808617     Document Type: Article

References (27)

1. A. Taflove, Computational Electrodynamics. The Finite-Difference Time-Domain Method. Norwood, MA: Artech House, 1995.
2. R. Holland, "Pitfalls of staircase meshing," IEEE Trans. Electromagn. Compat., vol. 35, pp. 434-439, Nov. 1993.
3. A. C. Cangellaris and D. B. Wright, "Analyis of the numerical error caused by the stair-stepped approximation of a conducting boundary in FDTD simulations of electromagnetic phenomena," IEEE Trans. Antennas Propagat., vol. 39, pp. 1518-1525, Oct. 1991.
4. S. Shi, L. Yang, and D. W. Prather, "Numerical study of axisymmetric dielectric resonators," IEEE Trans. Microwave Theory Tech., vol. 49, pp. 1614-1619, Sept. 2001.
5. A. Navarro and M. J. Nunez, "FDTD method coupled with FFT: A generalization to open cylindrical devices," IEEE Trans. Microwave Theory Tech., vol. 42, pp. 870-874, May 1994.
6. N. K. Madsen, "Divergence preserving discrete surface integral methods for Maxwell's curl equations using nonorthogonal unstructured grids," J. Comput. Phys., vol. 119, pp. 34-45, 1995.
7. S. D. Gedney and J. A. Roden, "Numerical stability of nonorthogonal FDTD methods," IEEE Trans. Antennas Propagat., vol. 48, pp. 231-239, Feb. 2000.
8. R. Schuhmann and T. Weiland, "Stability of the FDTD algorithm on nonorthogonal grids related to the spatial interpolation scheme," IEEE Trans. Magn., vol. 34, pp. 2751-2754, Sept. 1998.
9. ____, "FDTD on nonorthogonal grids with triangular fillings," IEEE Trans. Magn., vol. 35, pp. 1470-1473, May 1999.
10. T. Jurgens, A. Taflove, K. Umashankar, and T. G. Moore, "Finite-difference time-domain modeling of curved surfaces," IEEE Trans. Antennas Propagat., vol. 40, pp. 357-365, Apr. 1992.
11. T. G. Jurgens and A. Taflove, "Three-dimensional contour FDTD modeling of scattering from single and multiple bodies," IEEE Trans. Antennas Propagat., vol. 41, pp. 1703-1708, Dec. 1993.
12. S. Dey and R. Mittra, "A locally conformal finite-difference time-domain (FDTD) algorithm for modeling three-dimensional perfectly conducting objects," IEEE Microwave Guided Wave Lett., vol. 7, pp. 273-275, Sept. 1997.
13. C. J. Railton, "An algorithm for the treatment of curved metallic laminas in the finite difference time domain method," IEEE Trans. Microwave Theory Tech., vol. 41, pp. 1429-1438, Aug. 1993.
14. J. Fang and J. Ren, "A locally conformed finite-difference time-domain algorithm of modeling arbitrary shape planar metal strips," IEEE Trans. Microwave Theory Tech., vol. 41, pp. 830-838, May 1993.
15. C. J. Railton and I. J. Craddock, "Stabilized CPFDTD algorithm for the analysis of arbitrary 3D, PEC structures," Proc. Inst.Elect. Eng., pt. H, vol. 143, pp. 367-372, Oct. 1996.
16. C. Railton and J. Schneider, "An analytical and numerical analysis of several locally conformal FDTD schemes," IEEE Trans. Microwave Theory Tech., vol. 47, pp. 56-66, Jan. 1999.
17. W. Yu and R. Mittra, "A conformal FDTD algorithm for modeling perfectly conducting objects with curve-shaped surfaces and edges," Microwave Opt. Technol. Lett., vol. 27, pp. 136-138, 2000.
18. I. J. Craddock, C. J. Railton, and J. P. McGeehan, "Derivation and application of passive equivalent circuit for the finite difference time domain algorithm," IEEE Microwave Guided Wave Lett., vol. 6, pp. 40-42, Jan. 1996.
19. Y. Hao and C. J. Railton, "Analyzing electromagnetic structures with curved boundaries on Cartesian FDTD meshes," IEEE Trans. Microwave Theory Tech., vol. 46, pp. 82-88, Jan. 1998.
20. S. Dey and R. Mittra, "A conformal finite-difference time-domain technique for modeling cylindrical dielectric resonators," IEEE Trans. Microwave Theory Tech., vol. 47, pp. 1737-1739, Sept. 1999.
21. N. Kaneda, B. Houshmand, and T. Itoh, "FDTD analysis of dielectric resonators with curved surfaces," IEEE Trans. Microwave Theory Tech., vol. 45, pp. 1645-1649, Sept. 1997.
22. W. Yu and R. Mittra, "A conformal finite difference time domain technique for modeling curved dielectric surfaces," IEEE Microwave Wireless Comp. Lett., vol. 11, pp. 25-27, Jan. 2001.
23. T. I. Kosmanis and T. D. Tsiboukis, "A systematic conformal finite-difference time-domain (FDTD) technique for the simulation of arbitrarily curved interfaces between dielectrics," IEEE Trans. Magn., vol. 38, pp. 645-648, Mar. 2002.
24. S. D. Gedney, F. S. Lansing, and D. L. Rascoe, "Full wave analysis of microwave monolithic circuit devices using a generalized Yee-algorithm based on an unstructured grid," IEEE Trans. Microwave Theory Tech., vol. 44, pp. 1393-1400, Aug. 1996.
25. K.-P. Hwang and A. C. Cangellaris, "Effective permittivities for second-order accurate FDTD equations at dielectric interfaces," IEEE Microwave Wireless Comp. Lett., vol. 11, pp. 158-160, Apr. 2001.
26. J.-F. Lee, R. Palandech, and R. Mittra, "Modeling three-dimensional discontinuities in waveguides using nonorthogonal FDTD algorithm," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 346-352, Feb. 1992.
27. A. Ioffe and A. Dreher, "Discrete mode matching method for the analysis of quasiplanar structures," in Dig. IEEE AP-S Int. Symp.-URSI Radio Sci. Meet., Orlando, FL, July 1999, pp. 1840-1843.