Optomechanical tolerancing by means of system modeling with affine transformations

John A. Penkethman

doi:10.1117/12.246656

23 August 1996 Optomechanical tolerancing by means of system modeling with affine transformations

John A. Penkethman

Proceedings Volume 2774, Design and Engineering of Optical Systems; (1996) https://doi.org/10.1117/12.246656
Event: Optical Instrumentation and Systems Design, 1996, Glasgow, United Kingdom

Abstract

Most imaging optical systems require a fixed and stable relationship between the object and the image. Tilting and decentering of optical components due to manufacturing tolerances or thermal expansion will cause the image to move or tilt about the desired position. A method of modeling imaging optical systems is presented which uses affine transformations based on the paraxial optical equations. The method uses matrix and vector equations which are easily input, usually exactly as they are written, into many of today's math software programs for personal computers. Structural influence coefficients, or sensitivities, are derived for several common optical components. The resulting sensitivities can be computed and used in optomechanical tolerance budgeting. The equations can also be used as stabilization equations in actively controlled optical systems.

Citation Download Citation

John A. Penkethman "Optomechanical tolerancing by means of system modeling with affine transformations", Proc. SPIE 2774, Design and Engineering of Optical Systems, (23 August 1996); https://doi.org/10.1117/12.246656

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