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Scattering Analysis of Point Processes and Random Measures

โœ Scribed by K.-H. Hanisch

Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
464 KB
Volume
117
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

I n the present paper scattering analysis of point processes and random measures is MI tidied. Known formulae which connect the mattering intensity with the pair distribiition func-I ion of the studied structures are proved in a rigorous manner with tools of the theory of point proiwses and random measures. For some special fibre processes t,he scattering intensity is computed. li'or a clam of random measures, namely for "grain-germ-models", a nem formula is proved which yicld the pair distribution function of the "grain-germ-model" in terms of t,he pair distribution liinction of the underlying point process (the "germs") and of the mean stsruct.ure fact,or and the tiwitn squared st.rncture fn.ctor of t,he particles (the "grains").

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