| Summary: | The effect of anisotropic scattering on the eigenvalues of a multiplying (c
>1) and non-multi-plying (c < 1) slab in one-speed neutron transport equation
is studied. We have made some calculations, not only for the cases c<1 and
0 < g < 1, but also the cases of c >1 and -1<g<0 by using the linear and
quadratic approximations of the Henyey-Greenstein scattering kernel. The
asymmetry parameter g consists of isotropic, backward and forward bias. An
extensive numerical survey is carried out for the eigenvalues in order to
provide an accurate evaluation. The numerical results indicate that the
discrete eigenvalue increases with forward scattering and decreases with
backward scattering in expansions of linear and quadratic anisotropic
scattering.
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