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Ballistic Demagnetizing Factor in Uniformly Magnetized Cylinders
1.R. I. Joseph and E. Schlömann, J. Appl. Phys. 36, 1579 (1965).
2.W. F. Brown, Jr., Magnetostatic Principles in Ferromagnetism (North‐Holland Publishing Company, Amsterdam, 1962). See the Appendix and Tables A1, A2, and A3.
3.F. Von Stäblein and H. Schlechtweg, Z. Physik 95, 630 (1935).
4.K. Warmuth, Arch. Elektrotech. 31, 124 (1937);
4.K. Warmuth, 33, 747 (1939)., Arch. Elektrotech. (Berlin)
5.T. Okoshi, J. Appl. Phys. 36, 2382 (1965).
6.See, e.g., Y. L. Luke, Integrals of Bessel Functions (McGraw‐Hill Book Company, Inc., New York, 1962), pp. 314 318, Nos. 11, 14, and 25.
7.We note that the average of N(r,z) over a cross‐sectional area located at an arbitrary distance z from the endface N(z) is given by the expression This reduces to Eqs. (4) and (5) for
8.See, e.g., P. F. Byrd and M. H. Friedman, Handbook of Elliptic Integrals for Engineers and Physicists (Springer‐Verlag, Berlin, 1954), pp. 297 and 298, Nos. 900.00, 05, 07, and 10.
9.See, e.g., Tables of Integral Transforms, A. Erdélyi, Ed., (McGraw‐Hill Book Company, Inc., New York, 1954), Vol. 1, p. 183, No. 17. The resultant integral is reduced to a known form by making use of the sine and cosine half‐angle formulas; see then Ref. 8, p. 164, No. 282.04. An alternate procedure for obtaining [Eq. (11)] as follows: In terms of the function N(z) of Ref. 7 we may write This integral may be directly evaluated by making a change of integration variable (The integration involving gives an identical result.) The resultant integral is evaluated by making use of No. 710.02, p. 282 of Ref. 8, integrating by parts and then using No. 612.03, p. 273 of this reference.
10.E. C. Stoner, Phil. Mag. 36, 803 (1945);
10.J. A. Osborn, Phys. Rev. 67, 351 (1945).
11.R. M. Bozorth and D. M. Chapin, J. Appl. Phys. 13, 320 (1942).
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