Neutron fibres: a three-dimensional analysis of bending losses
The confined propagation of slow neutrons along waveguides of a small cross section (fibres), discussed theoretically some time ago and demonstrated experimentally by other authors later, is analysed further. Motivated by those experiments, a three-dimensional quantum-mechanical treatment of the ass...
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| Format: | article |
| Publication Date: | 2000 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/59066 |
| Online Access: | https://hdl.handle.net/20.500.14352/59066 |
| Access Level: | Open access |
| Keyword: | 535 Optics Óptica (Física) 2209.19 Óptica Física |
| Summary: | The confined propagation of slow neutrons along waveguides of a small cross section (fibres), discussed theoretically some time ago and demonstrated experimentally by other authors later, is analysed further. Motivated by those experiments, a three-dimensional quantum-mechanical treatment of the associated bending losses is presented. An approximate (two-parameter) formula is derived for the transmission coefficient Upsilon of the curved fibre, which displays its explicit dependence on the curvature radius Rcu, for 0<Rcu< + ∞. By adjusting one of the parameters (b), consistently with the theoretical analysis, and by fitting the other, the approximate formula describes all measured data for Upsilon. The parameter b (which accounts for the experimental data for Upsilon at large Rcu) allows the estimation of the number of effectively excited modes in the fibre. |
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