Matrix method for optomechanical tolerancing of finite conjugate optical imaging systems

John A. Penkethman

doi:10.1117/12.219531

15 September 1995 Matrix method for optomechanical tolerancing of finite conjugate optical imaging systems

John A. Penkethman

Author Affiliations +

Proceedings Volume 2540, Current Developments in Optical Design and Engineering V; (1995) https://doi.org/10.1117/12.219531
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

In any optical imaging system, tilting and decentering of optical components will cause the relationship between the object and image to change. Many precision imaging systems require the image to have a fixed relationship to the object within a certain tolerance. To obtain an object-to-image relationship within a specified tolerance, each of the possibly many components must in turn be positioned within certain tolerances. The allowable tilt and decenter of each component depends upon the sensitivity of the image position to that component's motion. This sensitivity is often referred to as a structural influence coefficient. A method is presented for the derivation and calculation of structural influence coefficients for finite conjugate optical imaging systems. A special differential rotation operator is introduced to model tilts of optical components. The method most easily results in numerical coefficients with the use of a personal computer and almost any common mathematical software package.

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John A. Penkethman "Matrix method for optomechanical tolerancing of finite conjugate optical imaging systems", Proc. SPIE 2540, Current Developments in Optical Design and Engineering V, (15 September 1995); https://doi.org/10.1117/12.219531

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