Abstract: In this work the variational calculus will be appliedto the design with axisymmetric sequential opticalsurfaces for small sources directly in 3D. This methodis proven to be useful even in the case in which theskewness distributions of output bundle and emitter donot fit. The tool provides both the optimum 3D raybundles at the exit aperture of a rotational collimatorand the best 2D assignation of rays allowing thecollimation reach its limit. Once this best assignationhas been obtained, the optical profiles can be designedeasily using only the central ray of the bundles.Afterwards, the actual device is obtained by rotation.As a consequence of the kind of method aforementioned,the angular performance of the collimators can benearly error- free predicted before ray tracing.!7
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