A general treatment of electronic excitation transfer (EET) for any random or nonrandom chromophore distribution is applied to finite-volume systems which can be modeled as spherical shells of finite thickness, cylinders, and lamellae. These geometries were chosen because they occur in a wide variety of materials of interest in synthetic polymer research, as well as in biological systems. The EET dynamics are described by the function [G(s)(t)], the probability of finding the excitation on the originally excited chromophore. [G(s)(t)] is directly related to the observables in fluorescence anisotropy and lifetime experiments, for donor-donor and donor-trap EET, respectively. The method is shown to be accurate in the limits for which analytical expressions in closed form are available. The model’s usefulness in experimental design is demonstrated for the case of coronal swelling in spherical micelles of diblock copolymers. It was found that random labeling of the blocks which form coronae is the preferred method for observation of this effect and that the sensitivity can be enhanced by selectively tagging the junction of the two blocks with trap chromophores. The influence of the shape of the chromophore distribution function on [G(s)(t)] was also investigated, to test the sensitivity of EET observables to the shape of the chromophore distribution at the A-B interface of a diblock copolymer material. The exact functional form of a symmetrical chromophore distribution was found not to appreciably affect the observables, while the spatial extent of the chromophore distribution has a major effect.