The translation formula for vector multipole fields and the recurrence relations of the translation coefficients of scalar and vector multipole fields

IEEE Transactions on Antennas and Propagation

Volumn 44, Issue 11, 1996, Pages 1482-1487

  Kim, Kristopher T ^a  

^a AIR FORCE RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; CALCULATIONS; ELECTRIC FIELDS; ELECTROMAGNETIC WAVE SCATTERING; FUNCTIONS; MAGNETIC FIELDS; TENSORS; VECTORS;

HANKEL FUNCTIONS; SPHERICAL BESSEL FUNCTIONS; SPHERICAL TENSOR TECHNIQUE;

ELECTROMAGNETIC FIELD THEORY;

EID: 0030287174     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/8.542073     Document Type: Article

References (21)

1. S. SteinAddition theorem for spherical wave functions," Quarterly Appl. Math., vol. 19. no. 1, pp. 15-24, 1961.
2. O. R. Cruzan. "Translation addition theorems for spherical vector wave functions," Quarterly Appl. Math., vol. 20, no. 1, pp. 33-40, 1962.
3. M. Danos and L. C. Maximon, J. Math. Phys., vol. 6, pp. 766-778, 1965.
4. W. C. Chew, Waves and Fields in Inhomogeneous Media. Piscataway, HI: IEEE Press, 1995.
5. R. C. WittmannSpherical wave operators and the translation formulas," IEEE Tram. Antennas Pmpagat., vol. 36, pp. 1078-1087, Aug. 1988.
6. W. C. ChewA derivation of the vector addition theorem." Microwave Opt. Tech. Lett., vol. 37, no. 7, pp. 256-260, 1990.
7. K. T. KimOn the translation formulas of spherical scalar and vector multipole fields," USAF Rome Lab., Tech. Rep. to be published.
8. J. H. Bruning and Y. T. LoMultiple scattering of EM waves by spheres, Part 1 Multipole expansion and ray optical solutions," IEEE Trans. Antennas Propagat., vol. 19, pp. 378-390, May 1971.
9. A.-K. Hamid, I. R. Ciric, and M. HamidMultiple scattering by an arbitrary configuration of dielectric spheres," Can. J. Phys., vol. 68, pp. 1419-1428, Dec. 1990.
10. Y. M. Wang and W. C ChewA recursive T-matrix approach for the, solution of electromagnetic scattering by many spheres," IEEE Trans. Antennas Proposât., vol. 41, pp. 1633-1639, Dec. 1993.
11. J. E. Hansen, Ed., Spherical Near-Field Antenna Measurements. Stevenags, U.K.: Peregrinus, 1988.
12. L. J. Tsang and J. A. KongEffective propagation constant for coherent electromagnetic waves in media embedded with dielectric scatterers," J. Appl. Phys., vol. 11, pp. 7162-7173, Nov. 1982.
13. W. C. Chew, C. C. Liu, and Y. M. WangEfficient computation of three-dimensional scattering of vector electromagnetic waves," J. Opt Soc. Amer., vol. Il-A, pp. 1528-1537, Apr. 1994.
14. C. C. Lu and W. C. ChewThe use of Huygens' equivalence principle for solving 3-D volume integral equation of scattering," IEEE Trans., Antennas Propagat., vol. 43, pp. 500-507, May 1995.
15. W. C. ChewRecurrence relations for three-dimensional scalar addition theorem," J. Electromagn. Waves Appl., vol. 6, no. 2, 133-142, 1992.
16. W. C. Chew and Y. M. YangEfficient ways to compute the vector addition theorem," J. Eleclrotrtagn. Waves Appl, vol. 7, no. 5, pp. 651-665, 1993.
17. A. R. Edmonds, Angular Momentum in Quantum Mechanics. Princeton, NJ: Princeton Univ. Press, 1974.
18. M. E. Rose, Multipole Fields. New York: Wiley. 1955.
19. D. M. Brink and G. R. Satchler, Angular Momentum. London, U.K.: Oxford Univ. Press, 1979.
20. R. G. Newton, Scattering Theory of Waves and Particles. New York: McGraw-Hill. 1966.
21. J. A. Stratton, Electromagnetic Theory. New York: McGraw-Hill, 1966.