Abstract

An analysis is made of a class of two-surface optical systems referred to as imaginary-case modules, which depend on a new parameter ϕ. Critical values ϕ0, ϕ and, ϕ*, which correspond to those for real-case modules, are defined, and the conditions for their existence in the domain of ϕ are derived. These critical values, whose counterparts in the real case exist for both refracting and reflecting systems, do not exist for refracting imaginary-case modules when the indices of refraction are restricted to commonly available optical glasses. The critical values of ϕ exist and have fixed values for all reflecting-module systems. We propose here a method for classifying imaginary-case modules that would permit comparison for coupling purposes.

© 1972 Optical Society of America

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