A note on angular representations for scattered waves
Author:
Dan Censor
Journal:
Quart. Appl. Math. 29 (1971), 319-325
MSC:
Primary 78.35
DOI:
https://doi.org/10.1090/qam/284083
MathSciNet review:
284083
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Abstract: Differential-operator representations for the scattered field were given by Twersky [1], [3], [4], and Burke, Censor and Twersky [2]. Essentially, from the data provided on a circle (in two dimensions) or a sphere (in three dimensions), the field may be reconstructed for arbitrary distances.
- Victor Twersky, Scattering of waves by two objects, Electromagnetic waves, Univ. of Wisconsin Press, Madison, Wis., 1962, pp. 361–389. MR 0134163
- James E. Burke, Dan Censor, and Victor Twersky, Exact inverse-separation series for multiple scattering in two dimensions, J. Acoust. Soc. Amer. 37 (1965), 5–13. MR 178709, DOI https://doi.org/10.1121/1.1909310
- Victor Twersky, Multiple scattering by arbitrary configurations in three dimensions, J. Mathematical Phys. 3 (1962), 83–91. MR 142299, DOI https://doi.org/10.1063/1.1703791
- Victor Twersky, Multiple scattering by arbitrary configurations in three dimensions, J. Mathematical Phys. 3 (1962), 83–91. MR 142299, DOI https://doi.org/10.1063/1.1703791
W. E. Hobson, The theory of spherical and ellipsoidal harmonics, Chelsea, New York, 1965, p. 21
E. W. Hobson, see ref. 5, p. 13
J. A. Stratton, Electromagnetic theory, McGraw-Hill, New York, 1941, p. 563ff
D. Censor, Scattering in velocity-dependent systems, D. Sc. Thesis, submitted to the Senate of the Technion-Israel Institute of Technology, Haifa, Israel, January 1967 (Hebrew)
D. Censor, Scattering by moving objects and scattering in moving media, Proc. Sixth National Convention of Electrical and Electronics Engineers in Israel, Tel-Aviv, 1968, pp. 466–480
D. Censor, On scattering of E.M. waves in uniformly moving media, Publications of the Department of Environmental Sciences, Tel-Aviv University, no. 70-002, 1969; J. Mathematical Phys. 11, 1968–1976 (1970)
V. Twersky, Scattering of waves by two objects, in Electromagnetic waves, Univ. of Wisconsin Press, Madison, Wisc., 1962, pp. 361–389
J. E. Burke, D. Censor and V. Twersky, Exact inverse-separation series for multiple scaitering in two dimensions, J. Acoust. Soc. Amer. 37, 5–13 (1965)
V. Twersky, Multiple scattering of electromagnetic waves by arbitrary configurations, J. Mathematical Phys. 8, 589–610 (1967)
V. Twersky, Multiple scattering by arbitrary configurations in three dimensions, J. Mathematical Phys. 3, 83–91 (1962)
W. E. Hobson, The theory of spherical and ellipsoidal harmonics, Chelsea, New York, 1965, p. 21
E. W. Hobson, see ref. 5, p. 13
J. A. Stratton, Electromagnetic theory, McGraw-Hill, New York, 1941, p. 563ff
D. Censor, Scattering in velocity-dependent systems, D. Sc. Thesis, submitted to the Senate of the Technion-Israel Institute of Technology, Haifa, Israel, January 1967 (Hebrew)
D. Censor, Scattering by moving objects and scattering in moving media, Proc. Sixth National Convention of Electrical and Electronics Engineers in Israel, Tel-Aviv, 1968, pp. 466–480
D. Censor, On scattering of E.M. waves in uniformly moving media, Publications of the Department of Environmental Sciences, Tel-Aviv University, no. 70-002, 1969; J. Mathematical Phys. 11, 1968–1976 (1970)
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Article copyright:
© Copyright 1971
American Mathematical Society
