Apparatus, systems, and methods may operate to receive incident energy within a chamber defining a first part of an interaction volume that attenuates the incident energy as a function of path length to provide attenuated energy. Additional activity may include simultaneously transforming the attenuated energy characterized by a substantially exponential intensity function into resultant energy characterized by a substantially polynomial intensity function. The transformation may be accomplished using an interacted energy transformation element that defines a second part of the interaction volume, the transformation element operating to intercept the attenuated energy along a plurality of path lengths. Other activity may include transmitting the resultant energy to a receiver. Additional apparatus, systems, and methods are disclosed.