A mathematical model of a controllable mirror-lens retrofocus objective with deformable mirrors has been developed in the paraxial approximation. It is used as a basis for proposing algorithms for calculating the static parameters of the objective, as well as the control ranges of the focal length, Delta f, and the displacement of the focal spot, Delta S'<sub>f '</sub>, in these optoelectronic devices. The results of computer modelling of the ranges Deltaf and Delta S'<sub>f '</sub> as a function of the design characteristics of the objective are analyzed for various ways of controlling its deformable mirrors. The main regularities and features of the resulting dependences are established for controllable objectives typical of laser technology. © 2005 Optical Society of America

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