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23 August 1996 Optomechanical tolerancing by means of system modeling with affine transformations
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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.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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);

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