Abstract
The spectrum of criticality eigenvalues for the one-speed neutron transport equation has been studied for an infinite slab with reflexion coefficients R 1 and R 2 at the surfaces. For R 1 = R 2 = −1 or +1 the problem can be solved exactly. In another case, R 1 = −1 and R 2 = 0, the problem is simplified considerably. When both reflexion coefficients are close to unity the criticality eigenvalues follow a very accurate approximation formula. For the high-order eigenvalues a semi-empirical formula is given. Some results have also been obtained for the corresponding time-dependent problems.
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