Algebraic Aspects of Detector Layout Optimization for Flux Mapping

Abstract

As a step in the flux mapping or channel power mapping design process, algebraic evaluation of alternate detector layouts based on the properties of the modal coupling matrix M^TM has significant conceptual and computational benefits. In this paper we derive and interpret a detector layout ranking criterion based on the eigenvalues of the M^TM matrix, and discuss the theoretical and practical implications of using this and other related algebraic evaluation criteria flux mapping detector layout design.