Structural–dimensional synthesis of laser variosystems (LVSs) for the formation of output Gaussian beam waist with smooth changes in its position and size according to a given law is considered. Synthesized variosystems can be used in setups and technological complexes with extended functionality: processing of materials, manufacturing of complex spatial configuration parts, moving micro-objects, etc. The method of automated dimensional synthesis of two-component LVSs on different operation principles with constraints on their parameters has been developed using the theory of laser optics. The method allows determining the best dimensional parameters of LVS, and in their absence, options of changing the initial data to obtain the solution of dimensional problem. Application of the method is demonstrated by examples of dimensional synthesis of LVSs of different types and extended functionality.
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