Two three-matrix decompositions of ABCD matrices are introduced with a transformation that varies the number of refraction surfaces while preserving paraxial specifications.
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A New Perspective on Matrix Representation of Paraxial Geometric Optics using Two Kinds of Three-Matrix Decompositions of the $2\times 2$ Special-Linear-Group Matrices
Two three-matrix decompositions of ABCD matrices are introduced with a transformation that varies the number of refraction surfaces while preserving paraxial specifications.