Numerical method of characteristics for electromagnetics

Applied Computational Electromagnetics Society Journal

Volumn 14, Issue 2, 1999, Pages 25-36

  Beggs, John H ^a   Marcum, David L ^a   Chan, Siew Loong ^a  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; INTERPOLATION; MATHEMATICAL MODELS; MAXWELL EQUATIONS; TIME DOMAIN ANALYSIS;

FINITE DIFFERENCE TIME DOMAIN (FDTD) METHOD; METHOD OF CHARACTERISTICS (MOC);

ELECTROMAGNETIC FIELD THEORY;

EID: 0032649103     PISSN: 10544887     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (50)

1. K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media", IEEE Trans. Antennas Propagat., vol. 14, no. 3, pp. 302-307, 1966.
2. K. S. Kunz and R. J. Luebbers, The Finite Difference Time Domain Method for Electromagnetics, CRC Press, Boca Raton, FL, 1993.
3. A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, Boston, MA, 1995.
4. Allen Taflove, editor, Advances in Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, New York, 1998.
5. N. K. Madsen and R. W. Ziolkowski, "A modified finite-volume technique for Maxwell's equations", Tech. Rep. UCRL-98495, Lawrence Livermore National Laboratory, 1988.
6. N. K. Madsen and R. W. Ziolkowski, "A three-dimensional modified finite volume technique for Maxwell's equations", Electromagnetics, vol. 10, no. 1/2, pp. 147-161, 1990.
7. R. Holland, V. P. Cable, and L. C. Wilson, "Finite-volume time-domain (FVTD) techniques for EM scattering", IEEE Trans. Electromagn. Compat., vol. 33, no. 4, pp. 281-294, 1991.
8. R. Noack and D. A. Anderson, "Time domain solutions of Maxwell's equations using a finite-volume formulation", in AIAA Meeting, Reno, NV, Jan. 1992.
9. C. H. Chan and J. T. Elson, "A vertex-based finite-volume time-domain method for analyzing waveguide discontinuities", IEEE Microwave Guided Wave Lett., vol. 3, no. 10, pp. 372-374, 1993.
10. D. J. Riley and C. D. Turner, "Finite-volume hybrid-grid (FVHG) technique for the solution of transient Maxwell's equations", Applied Computational Electromagnetics Soc. Newsletter, vol. 9, no. 2, pp. 25-32, 1994.
11. K. S. Yee and J. S. Chen, "Conformal hybrid finite difference time domain and finite volume time domain", IEEE Trans. Antennas Propagat., vol. 42, no. 10, pp. 1450-1455, 1994.
12. K. S. Yee and J. S. Chen, "Hybrid finite difference time domain and finite volume time domain in solving Maxwell's equations", in 11th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, Mar. 1995, vol. 1, pp. 453-464.
13. D. J. Riley and C. D. Turner, "Local tetrahedron modeling of microelectronics using the finite-volume hybrid-grid tecnique", in 12th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, Mar. 1996, vol. 1, pp. 536-554.
14. M. A. Jensen and Y. Rahmat-Samii, "Finite-difference and finite-volume time-domain techniques: Comparison and hybridization", in IEEE Antennas and Propagat. Soc. Int. Symp., Baltimore, MD, July 1996, vol. 1, pp. 108-111.
15. M. A. Jensen and Y. Rahmat-Samii, "Finite difference and finite volume time domain techniques in electromagnetics: A comparitive study", Radio Sci., vol. 31, no. 6, pp. 1823-1836, 1996.
16. S. G. García, T. M. Hung-Bao, B. G. Olmedo, and R. G. Martín, "Volume-conformation method to study scattering by PEC objects with FDTD", IEE Proc. H, Microw. Antennas Propag., vol. 143, no. 2, pp. 131-136, 1996.
17. D. J. Riley and C. D. Turner, "VOL-MAX: A solid-model-based, transient volumetric Maxwell solver using hybrid grids", IEEE Antennas Propagat. Magazine, vol. 39, no. 1, pp. 20-33, 1997.
18. P. Bonnet, X. Ferrieres, F. Paladian, J. Grando, J. C. Alliot, and J. Fontaine, "Electromagnetic wave diffraction using a finite volume method", Electron. Lett., vol. 33, no. 1, pp. 31-32, 1997.
19. K. S. Yee and J. S. Chen, "The finite-difference time-domain (FDTD) and the finite-volume time-domain (FVTD) methods in solving Maxwell's equations", IEEE Trans. Antennas Propagat., vol. 45, no. 3, pp. 354-363, 1997.
20. M. B. Abbott, An Introduction to the Method of Characteristics, American Elsevier, New York, 1966.
21. J. D. Hoffman, Numerical Methods for Engineers and Scientists, McGraw-Hill, New York, 1992.
22. D. S. Butler, "The numerical solution of hyperbolic systems of partial differential equations in three independent variables", Proc. of the Royal Soc. of London, vol. 255A, pp. 232-252, 1960.
23. J. D.-Hoffman, "The method of characteristics applied to unsteady one-, two-and three-dimensional flows", Tech. Rep. TR-80-07, Thermal Sciences and Propulsion Center, School of Mechanical Engineering, Purdue Univ., 1980.
24. D. L. Marcum and J. D. Hoffman, "Calculation of unsteady three-dimensional subsonic/transonic inviscid flowfields by the method of characteristics", in AIAA 22nd Aerospace Sciences Meeting, Reno, NV, Jan. 1984, vol. AIAA 84-0440.
25. D. L. Marcum and J. D. Hoffman, "Calculation of viscous nozzle flows by the unsteady method of characteristics", in AIAA 23rd Aerospace Sciences Meeting, Reno, NV, Jan. 1985, vol. AIAA 85-0131.
26. D. L. Marcum and J. D. Hoffman, "Calculation of three-dimensional flowfields by the unsteady method of characteristics", AIAA Journal, vol. 23, no. 10, pp. 1497-1505, Oct 1985.
27. C. P. Kentzner I. H. Parpia and M. H. Williams, "Multidimensional time dependent method of characteristics", Computers and Fluids, vol. 16, no. 1, pp. 105-117, 1988.
28. V. Shankar, W. F. Hall, and A. Mohammadian, "A time-domain differential solver for electromagnetic scattering problems", Proc. IEEE, vol. 77, no. 5, pp. 709-721, 1989.
29. W. F. Hall V. Shankar and A. H. Mohammadian, "A three-dimensional Maxwell's equation solver for computation of scattering from layered media", IEEE Trans. Magnetics, vol. 25, no. 4, pp. 3098-3103, July 1989.
30. W. F. Hall V. Shankar and A. H. Mohammadian, "A CFD-based finite-volume procedure for computational electromagnetics - interdisciplinary applications of CFD methods", vol. AIAA Paper 89-1987CP, 1989.
31. W. F. Hall V. Shankar and A. H. Mohammadian, "A time-domain, finite-volume treatment for me Maxwell equations", Electromagnetics, vol. 10, pp. 127, 1990.
32. W. F. Hall V. Shankar and A. H. Mohammadian, "CFD spinoff-computational electromagnetics for radar cross section (RCS) studies", vol. AIAA Paper 90-3055CP, 1990.
33. V. Shankar, "A gigaFLOP performance algorithm for solving Maxwell's equations of electromagnetics", vol. AIAA paper 91-1578CP, 1991.
34. J. S. Shang, "Characteristic based methods for the time-domain Maxwell equations", in AIAA 29th Aerospace Sciences Meeting & Exhibit, Reno, NV, Jan. 1991, vol. AIAA 91-0606.
35. J. S. Shang, "A characteristic-based algorithm for solving 3-d time-domain Maxwell equations", in AIAA 30th Aerospace Sciences Meeting & Exhibit, Reno, NV, Jan. 1992, vol. AIAA 92-0452.
36. J. S. Shang, "A fractional-step method for solving 3-d time-domain Maxwell equations", in AIAA 31st Aerospace Sciences Meeting & Exhibit, Reno, NV, Jan. 1993, vol. AIAA 93-0461.
37. J. S. Shang and D. Gaitonde, "Characteristic-based, time-dependent Maxwell equations solvers on a general curvilinear frame", in AIAA 24th Plasmadynamics & Lasers Conference, Orlando, FL, July 1993, vol. AIAA 93-3178.
38. K. C. Hill J. S. Shang and D. Calahan, "Performance of a characteristic-based, 3-d time-domain Maxwell equations solvers on a massively parallel computer", in AIAA 24th Plasmadynamics & Lasers Conference, Orlando, FL, July 1993, vol. AIAA 93-3179.
39. J. S. Shang and R. M. Fithen, "A comparative study of numerical algorithms for computational electromagnetics", in AIAA 25th Plasmadynamics & Lasers Conference, Colorado Springs, CO, June 1994, vol. AIAA 94-2410.
40. J. S. Shang and D. Gaitonde, "Characteristic-based, time-dependent Maxwell equation solvers on a general curvilinear frame", AIAA Journal, vol. 33, no. 3, pp. 491-498, March 1995.
41. J. S. Shang, "A fractional-step method for solving 3d, time-domain Maxwell equations", Journal of Comp. Phys., vol. 118, pp. 109-119, 1995.
42. J. S. Shang and R. M. Fithen, "A comparative study of characteristic-based algorithms for the Maxwell equations", Journal of Comp. Phys., vol. 125, pp. 378-394, 1996.
43. D. C. Blake and J. S. Shang, "A procedure for rapid prediction of electromagnetic scattering from complex objects", in AIAA 29th Plasmadynamics & Lasers Conference, Albuquerque, NM, June 1998, vol. AIAA 98-2925.
44. Z. P. Liao, H. L. Wong, B.-P. Yang, and Y.-F. Yuan, "A transmitting boundary for transient wave analysis", Sci. Sin., Ser. A, vol. 27, no. 10, pp. 1063-1076, 1984.
45. J.-P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves", J. Comput. Phys., vol. 114, no. 1, pp. 185-200, 1994.
46. J. E. Fromm, "A method for reducing dispersion in convective difference schemes", Journal of Comp. Phys., vol. 3, pp. 176-189, 1968.
47. M. F. Hadi, M. Piket-May, and E. T. Thiele, "A modified FDTD (2,4) scheme for modeling electrically large structures with high phase accuracy", in 12th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, Mar. 1996, vol. 2, pp. 1023-1030.
48. 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, no. 2, pp. 254-264, 1997.
49. S. K. Lele, "Compact finite difference schemes with spectral-like resolution", Journal of Comp. Phys., vol. 103, pp. 16-42, 1992.
50. D. Gaitonde and J. S. Shang, "High-order finite-volume schemes in wave propagation phenomena", in AIAA 27th Plasmadynamics & Lasers Conference, New Orleans, LA, June 1996, vol. AIAA 96-2335.