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Electromagnetic Scattering by an Ellipsoid in the Third Approximation
1.F. Möglich, Ann. Phys., 83, 609 (1927).
2.F. V. Schultz, Scattering by a Prolate Spheroid, Report UMM‐42, University of Michigan (1950).
3.C. T. Tai, Trans. Inst. Radio Engrs. (February, 1952).
3.3a Note added in proof:‐Dr. K. M. Siegel has since informed me that numerical calculations, based on Schultz’s work, have now been made for the prolate spheroid and that similar calculations are in progress for the oblate spheroid.
4.Lord Rayleigh, Phil. Mag. 44, 28 (1897). Rayleigh only considered the case where the direction of propagation was along a principal axis of the ellipsoid, with the electric vector along another principal axis. But to this approximation the general case can be deduced by superposition.
5.R. Gans, Ann. Physik 62, 331 (1920).
6.J. A. Stratton, Electromagnetic Theory (McGraw‐Hill Book Company, Inc., New York), p. 563 and following. References to the original papers are given.
7.C. J. Bouwkamp, Philips Research Repts. 5, 401 (1950);
7.J. Meixner and W. Andrejewski, Ann. Physik 7, 157 (1950);
7.H. Levine and J. Schwinger, Theory of Electromagnetic Waves, (Intersdence Publishers, Inc., New York, 1951), p. 1;
7.J. W. Miles, J. Appl. Phys. 20, 760 (1949);
7.J. W. Miles, 21, 468 (1950)., J. Appl. Phys.
8.A. F. Stevenson, J. Appl. Phys. 24, preceding paper (1953). We shall refer to this paper as “EMS.”
9.These relations are special cases of relations which connect the integrals ⋯, and which are useful in deriving and checking the solutions. We shall not give these more general relations, however.
10.The coefficients of in and of in were also calculated, as these furnish checks on the work.
11.Expansions from which the field can be determined to this order axe given by Stratton (reference 6), p. 571, but some of Stratton’s formulas are in error.
12.See, for instance, J. Meixner, Z. Naturforsch., 3A, 506 (1948).
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