Infinite medium neutron wave propagation—II

Warner, J. H.; Erdmann, R.C.

doi:10.1016/0022-3107(69)90069-0

Cited by 4 publications

(3 citation statements)

References 3 publications

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“…From the location of CB in the k-plane, the contribution from the continuum CB will be important. This location depends on Cmin and the frequency w (cf Duderstadt 1968, Warner andErdmann 1969). The level of C(U) for U < UB as well as Z m i n depends significantly on the temperature of moderator as seen in BNL-325 (Hughes and Schwartz 1958).…”

Section: Resultsmentioning

confidence: 99%

“…In a polycrystalline moderator, however, according to a peculiar characteristic of the total cross section X(v), the sub-Bragg continuum extends in the spectral plane to the region where the discrete eigenvalue exists. Moreover, increasing frequency causes the discrete eigenvalue to cross the sub-Bragg continuum (Duderstadt 1968, Warner and Erdmann et al 1969, Wood 1969. Hence the sub-Bragg neutrons could suffer less-rapid attenuation than the discrete mode, and make a nonnegligible contribution at the detector.…”

Section: Introductionmentioning

confidence: 99%

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Pseudo-mode analysis of neutron wave propagation in polycrystalline moderators

Yamagishi

1974

J. Phys. D: Appl. Phys.

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Neutron wave propagation in a polycrystalline prism is analysed via a velocity-dependent transport equation with a simple scattering kernel. Particular attention is devoted to examining the behaviour of sub-Bragg neutrons, and the effects of temperature and transverse buckling on the neutron waves. The contribution from the sub-Bragg continuum (pseudo-mode) is made possible to compute by the use of the analytical continuation of the dispersion function in the case of 1/v-form cross sections. Numerical results of the energy spectrum and detector response of neutron waves are presented for beryllium and graphite. The interference phenomenon between the discrete modes and pseudo-modes is also demonstrated for various temperatures and transverse bucklings.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pseudo-mode analysis of neutron wave propagation in polycrystalline moderators

Yamagishi

1974

J. Phys. D: Appl. Phys.

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“…The area spectrum may be avoided from the outset by applying the Fourier transformation method (94,96). The investigations of Doming and Thurber (97) also may be consulted in this connection.…”

Section: Time-dependent Problemsmentioning

confidence: 99%