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Multiple Scattering and the Polarization of X-Rays

  • John D. Zahrt (a1) and Richard Ryon (a2)

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In order to improve the overall performance of energy dispersive x-ray secondary emission spectrometry one can make use of polarized x-rays. We have used polarized x-rays produced by 90° scattering to reduce the background intensity due to the primary x-ray source.

An effort has been made to optimize the polarizing scatterer for the elements being analyzed. A discrepancy appears in the theory of such optimization between a simple one point formula and a more elaborate integral formula. Possible reasons for such disparities might lie in 1) collimator geometric effects, 2) multiple scattering and 3) actual primary intensity. The first problem has been dealt with in an unpublished manuscript. This report concerns itself with point 2, multiple scatter, and in particular with double scatter including polarization effects.

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Page 345 note 1 Ryon, R., Adv. in X-Ray Anal., 20, 575590 (1977).

Page 345 note 2 Ryon, R. and Zahrt, J., Adv. in X-Ray Anal., 22, 453460 (1979).

Page 345 note 3 See for example DuMond, J., Phys. Rev. 36, 1685-1701 (1930) for the classic work and Tanner, A. and Epstein, I., Phys. Rev. 13A, 335348 (1976); 14A, 313327 (1976): 14A, 328340 (1976) for current work.

Page 346 note 4 See however Wightman, A., Phys. Rev. 74, 1813-1817 (1948) or Nishina, Y., Zeits. f. Phys. 52, 869877 (1929).

Page 348 note 5 Abramowitz, M. and Stegun, I., “Handbook of Mathematical Functions”, U.S. Goverment Printing Office, Dept. of Commerce, 1964.

Page 348 note 6 See for example Cohen, A., “Numerical Analysis”, John Wiley, New York 1973 or Arden, B. and Astill, K., “Numerical Algorithms”, Addison-Wesley, Reading, Mass., 1970.

Multiple Scattering and the Polarization of X-Rays

  • John D. Zahrt (a1) and Richard Ryon (a2)

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