3 – The Group of 1D First-Order Optical Systems

摘要: This chapter discusses the group of 1D first-order optical systems. The transformations position and momentum ray variables, generated by quadratic monomials in real space as well phase-space, are analyzed. A definite correspondence each monomial to a traceless matrix symplectic Lie algebra is drawn. between polynomials system explored. It found that every can be synthesized an ordered product finite number matrices. From viewpoint, this means equivalent properly designed arrangement thin lenses separated uniform index media. observed systems, consisting several components connected together cascade, handled simply multiplying matrices individual elements, arranged reverse order. subgroup free propagation lens also elaborated.