Spherical Wave Operators and the Translation Formulas

IEEE Transactions on Antennas and Propagation

Volumn 36, Issue 8, 1988, Pages 1078-1087

  Wittmann, Ronald C ^a  

^a Electromagnetic Fields Division ^*  (China)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES -- OPERATORS;

FREE-SPACE GREEN'S FUNCTIONS; HELMHOLTZ EQUATION; SPHERICAL WAVE FUNCTIONS; VECTOR WAVES;

ELECTROMAGNETIC WAVES;

EID: 0024054883     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/8.7220     Document Type: Article

References (17)

1. J. H. Bruning and Y. T. Lo, “Multiple scattering of EM waves by Spheres, Part I-Multipole expansion and ray-optical solutions”, IEEE Trans. Antennas Propagat., vol. AP-19, pp. 378–390, May 1971.
2. J. H. Bruning and Y. T. Lo, “Multiple scattering by spheres”, Antenna Lab., Univ. Illinois, Urbana, Tech. Rep. 69-5, 1969.
3. F. Jensen, “Electromagnetic nearfield farfield correlations”, Ph.D. dissertation, Tech. Univ. Denmark, Lyngby, 1970.
4. P. F. Wacker, “Nonplanar nearfield measurements: Spherical scanning”, Nat. Bur. Stand. ‘US’ NBSIR 75-809, June 1975.
5. B. Friedman and J. Russek, “Addition theorems for spherical waves”, Quart. Appl. Math., vol. 12, pp. 13–23, 1954.
6. M. Danos and L. C. Maximon, “Multipole matrix elements of the translation operator”, J. Math. Phys., vol. 6, pp. 766–778, May 1965.
7. S. Stein, “Addition theorems for spherical wave functions”, Quart. Appl. Math., vol. 19, pp. 15–24, 1961.
8. O. R. Cruzan, “Translational addition theorems for spherical vector wave functions”, Quart. Appl. Math., vol. 20, pp. 33–40, 1962.
9. R. C. Wittmann, “Evaluation of translated probe coefficients in spherical nearfield scanning”, presented at the 1985 North American Radio Science Meeting ‘URSI’, Vancouver, BC, Canada, June 1985.
10. A. D. Yaghjian and R. C. Wittmann, “The receiving antenna as a linear differential operator: application to spherical nearfield scanning”, IEEE Trans. Antennas Propagat., vol. AP-33, pp. 1175-1185, Nov. 1985.
11. R. C. Wittmann, “Notes on the spherical wave translation theorems”, rep. to Rome Air Development Center/EE, Nat. Bur. Stand. ‘U.S.’ Electromagnetic Fields Division SR-723-7-86, Feb. 1986.
12. J. D. Jackson, Classical Electrodynamics, 2nd ed. New York: Wiley, 1975.
13. C. Mller, Foundations of the Theory of Electromagnetic Waves. Berlin: Springer-Verlag, 1969.
14. R. C. Wittmann and R. H. Cormack, “Spherical nearfield scanning measurements: Computation based on the probe-operator concept”, presented at the USNC/URSI National Radio Science Meeting, Boulder, CO, Jan. 1986.
15. G. Carrier, M. Krook, and C. Pearson, Functions of a Complex Variable. New York: McGraw-Hill, 1966.
16. A. Erdelyi, “Zur Theorie der Kugelwellen”, Physica, vol. 4, pp. 107-120, Feb. 1937.
17. J. A. Stratton, Electromagnetic Theory, ch. 7. New York: McGraw-Hill, 1941.