Analysis of an electromagnetic field created by line current using constrained interpolation profile method

IEEE Transactions on Antennas and Propagation

Volumn 55, Issue 1, 2007, Pages 111-119

  Okubo, Kan ^a   Takeuchi, Nobunao ^a  

^a AKITA PREFECTURAL UNIVERSITY   (Japan)

Author keywords

Constrained interpolation profile (CIP) method; Electromagnetic field analysis; Finite difference time domain (FDTD) method; Line current; Method of characteristics

Indexed keywords

ELECTRIC CURRENTS; ELECTRIC LINES; FINITE DIFFERENCE METHOD; INTERPOLATION; TIME DOMAIN ANALYSIS;

CONSTRAINED INTERPOLATION PROFILE (CIP) METHOD; FINITE-DIFFERENCE TIME-DOMAIN (FDTD) METHOD; LINE CURRENT; METHOD OF CHARACTERISTICS;

ELECTROMAGNETIC FIELDS;

EID: 33846934733     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2006.888392     Document Type: Article

References (21)

1. 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. 4, pp. 302-307, May 1966.
2. K. S. Kunz and R. J. Luebbers, The Finite Difference Time Domain Method for Electromagnetics. Boca Raton, FL: CRC Press, 1993.
3. T. Uno, The Finite Difference Time Domain Method for Electromagnetic Field and Antennas. San Antonio, TX: Corona, 1998.
4. T. Yabe, X. Feng, and T. Utsumi, "The constrained interpolation profile method for multiphase analysis," J. Comput. Phys., vol. 169, pp. 556-593, 2001.
5. T. Yabe, T. Utsumi, and Y. Ogata, The Constrained Interpolation Profile Method. Tokyo, Japan: Morikita Publishing, 2003.
6. M. Uman, "The electromagnetic radiation from a finite antenna," Amer. J. Phys., vol. 43, pp. 33-38, 1975.
7. V. A. Rakov and M. A. Uman, Lightning Physics and Effects. Cambridge, U.K.: Cambridge Univ. Press, 2003.
8. J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., vol. 114, pp. 185-200, Jan. 1994.
9. H. Takewaki, A. Nishiguchi, and T. Yabe, "Cubic interpolated pseudo-particle method (CIP) for solving hyperbolic-type equations," J. Comput. Phys., vol. 61, pp. 261-268, 1985.
10. T. Utsumi, T. Kunugi, and T. Aoki, "Stability and accuracy of the cubic interpolated propagation scheme," Comput. Phys. Commun., vol. 101, pp. 9-20, 1997.
11. T. Utsumi, T. Yabe, J. Koga, T. Aoki, and M. Sekine, "Accurate basis set by the CIP method for the solutions of the Schrodinger equation," Comput. Phys. Commun., vol. 157, no. 2, pp. 121-138, 2004.
12. T. Yabe, H. Mizoe, K. Takizawa, H. Moriki, H. N. Im, and Y. Ogata, "Higher-order schemes with CIP method and adaptive soroban grid towards mesh-free scheme," J. Comput. Phys., vol. 194, no. 1, pp. 57-77, 2004.
13. G. D. Smith, Numerical Solution of Partial Differential Equations. Oxford, U.K.: Oxford Univ. Press, 1965.
14. I. H. Parpia, C. P. Kentzer, and H. Williams, "Multidimensional time dependent method of characteristics," Comput. Fluids, vol. 16, no. 1, pp. 105-117, 1988.
15. Y. W. Shin and R. A. Valentin, "Numerical analysis of fluid hammer waves by the method of characteristics," J. Comput. Phys., vol. 20, pp. 220-237, Feb. 1976.
16. K. H. Parker and C. J. H. Jones, "Forward and backward running waves in the arteries: Analysis using the method of characteristics," Trans. ASME J. Biomechanical Eng., vol. 112, Au. 1990.
17. J. P. Donohoe, J. H. Beggs, and M. Ho, "Comparison of finite difference time domain results for scattered EM Fields: Yee algorithm vs. a characteristic based algorithm," presented at the 27th IEEE Southeastern Symposium on System Theory, Mar. 12-14, 1995.
18. J. S. Shang, "A characteristic-based algorithm for solving 3-D timedomain Maxwell equations," Electromagn., vol. 10, no. 127, 1990.
19. J. H. Beggs, D. L. Marcum, and S.-L. Chan, "The Numerical Method of Characteristics for Electromagnetics," ACES J., vol. 14, no. 2, July 1999.
20. J. S. Shang, "A fractional-step method for solving 3D, time-domain Maxwell equations," J. Comput. Phys., vol. 118, pp. 109-119, 1995.
21. A. C. Reynolds, "Boundary conditions for the numerical solution of wave propagation problems," Geophys., vol. 43, pp. 1099-1110, 1978.