Download BornAgain User Manual - Scientific Computing Group
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Contents Introduction About BornAgain . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . About this Manual . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Typesetting conventions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 5 6 6 1 Online documentation 1.1 Download and installation . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Further online information . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3 Registration, contact, discussion forum . . . . . . . . . . . . . . . . . . . 8 8 9 9 2 Small-angle scattering and the Born approximation 2.1 Coherent neutron propagation . . . . . . . . . . . . . . 2.2 Neutron scattering in Born approximation . . . . . . . 2.2.1 The Born expansion . . . . . . . . . . . . . . . 2.2.2 Far-field approximation . . . . . . . . . . . . . 2.2.3 Differential cross section . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 10 12 12 13 15 3 Grazing-incidence scattering and the distorted wave Born approximation 3.1 Scattering under grazing incidence . . . . . . . . . . . . . . . . . . . . . 3.1.1 Wave propagation in 2 + 1 dimensions . . . . . . . . . . . . . . . 3.1.2 Distorted-wave Born approximation (DWBA) . . . . . . . . . . . 3.2 Absorption . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 16 16 18 19 4 DWBA for multilayer systems 4.1 Scalar case . . . . . . . . . . . . . . . . . . . . . . . . . 4.1.1 Wave propagation and DWBA matrix element . 4.1.2 Wave propagation across layers . . . . . . . . . . 4.1.3 Damped waves in absorbing media or under total 21 21 21 23 26 . . . . . . . . . . . . . . . . . . reflection . . . . . . . . . . . . 5 Particle Assemblies 27 5.1 Embedded particles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 A Some proofs 28 A.1 Source–detector reciprocity for scalar waves . . . . . . . . . . . . . . . . 28 3