Unified matrix presentation of Maxwell's and wave equations using generalized differential matrix operators

IEEE Transactions on Education

Volumn 41, Issue 1, 1998, Pages 61-69

  Chen, Yinchao ^a,b   Sun, Kunquan ^a,c   Beker, Benjamin ^a,d   Mittra, Raj ^a,e  

^a IEEE   (Hong Kong)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^c NEC America   (United States)

^d The Department of Mechanical Engineering   (United States)

^e The Pennsylvania State University   (United States)

Author keywords

Boundary value problems; Electromagnetics; Generalized differential matrix operators

Indexed keywords

BOUNDARY VALUE PROBLEMS; EDUCATION; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; MAXWELL EQUATIONS;

GENERALIZED DIFFERENTIAL MATRIX OPERATORS; WAVE EQUATIONS;

DIFFERENTIAL EQUATIONS;

EID: 0032000729     PISSN: 00189359     EISSN: None     Source Type: Journal    
DOI: 10.1109/13.660791     Document Type: Article

References (16)

1. N. G. Alexopoulos, "Integrated-circuits structures on anisotropic substrates," IEEE Trans. Microwave Theory Tech., vol. 33, pp. 847-881, Oct. 1985.
2. C. M. Krowne, "Vector variational and weighted residual finite element procedures for highly anisotropic media," IEEE Trans. Antenna Propagat., vol. 42, pp. 642-650, May 1994.
3. W. Berreman, "Optics in stratified and anisotropic media: 4 × 4 matrix formulation," J. Opt. Soc. Amer., vol. 62, no. 4, pp. 502-510, Apr. 1972.
4. C. M. Krowne, "Fourier transformed matrix method of finding propagation characteristics of layered anisotropic media," IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 1617-1625, Dec. 1984.
5. C. R. Paiva and A. M. Barbosa, "Spectral representation of self-adjoint problems for layered anisotropic waveguides," IEEE Trans. Microwave Theory Tech., vol. 39, pp. 330-338, Feb. 1991.
6. Y. Chen and B. Beker, "Analysis of single and coupled microstrip lines on anisotropic substrates using differential matrix operators and the spectral-domain method," IEEE Trans. Microwave Theory Tech., vol. 41, pp. 123-128, Jan. 1993.
7. _, "Dispersion characteristics of open and shielded8 microstrip lines under a combined principal axes rotation of electrically and magnetically anisotropic substrates," IEEE Trans. Microwave Theory Tech., vol. 41, pp. 673-679, Apr. 1993.
8. R. P. Bocker and B. R. Frieden, "Solution of the Maxwell field equations in vacuum for arbitrary charge and current distributions using the methods of matrix algebra," IEEE Trans. Educ., vol. 36, pp. 350-356, Nov. 1993.
9. G. Arfken, Mathematical Methods for Physicists. New York: Academic, 1985.
10. C. T. Tai, Generalized Vector and Dyadic Analysis. Piscataway, NJ: IEEE Press, 1992, ch. 2.
11. T. Itoh and R. Mittra, "Spectral-domain method for calculating the dispersion characteristics of microstrip lines," IEEE Trans. Microwave Theory Tech., vol. MTT-21, pp. 496-499, July 1973.
12. R. Jackson and D. Pozar, "Full-wave analysis of microstrip open-end and gap discontinuities," IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 1036-1042, Oct. 1983.
13. G. W. Pan, J. Tan, and J. D. Murphy, "Full-wave analysis of microstrip floating-line discontinuities," IEEE Trans. Electromag. Compat., vol. 36, pp. 43-43, Feb. 1993.
14. H.-Y. Yang, J. A. Castaneda, and N. G. Alexopoulos, "Surface wave of printed circuits on ferrite substrate," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 613-621, Apr. 1992.
15. M. Geshiro and T. Itoh, "Analysis of a coupled slotline on a double-layered substrate containing a magnetized ferrite," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 765-768, Apr. 1992.
16. C. A. Balanis, Advanced Engineering Electromagnetics. New York: Wiley, 1989, p. 262.