Article ID Journal Published Year Pages File Type
4626560 Applied Mathematics and Computation 2015 18 Pages PDF
Abstract

The present work shows that Harris’ exponential-mean-log averaging rule over the space of optical transference matrices may be regarded as an instance of the Kolmogoroff–Nagumo averaging rule over the affine symplectic group. As such, Harris’ averaging rule may be generalized to a φ-mean-φ−1φ−1 rule that can be implemented by different φ maps. The present work also shows that the involved maps may be computed in closed form by low-degree polynomial expressions.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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