A generalized perturbation method for bi-linear functionals of the real and adjoint neutron fluxes

Abstract A generalized perturbation method is derived with respect to ratios of bi-linear functionals of the real and adjoint neutron fluxes of critical multiplying systems. Simple linear analysis for optimization and sensitivity studies are then feasible relative to spectrum and space-dependent quantities, such as Doppler and coolant void reactivity effects in fast reactors.