Derivation of structural influence coefficients for long-focus imaging optical systems

James C. DeBruin; David B. Johnson

doi:10.1117/12.188026

30 September 1994 Derivation of structural influence coefficients for long-focus imaging optical systems

James C. DeBruin, David B. Johnson

Proceedings Volume 2263, Current Developments in Optical Design and Optical Engineering IV; (1994) https://doi.org/10.1117/12.188026
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

The structural influence coefficients for an imaging optical system map the decenter and tilt motions of the system elements to changes in the direction and orientation of the line-of-sight and image. A methodology is presented to calculate the structural influence coefficients for the lenses of long-focus (near-infinity) imaging optical systems. Single-lens systems are considered first, with the method then extended to handle multiple elements. Use of an arbitrary structural reference frame is discussed, along with an algorithmic, recursive approach to numerical calculation of the structural influence coefficients. A complete derivation is presented at each step, and an overview of the geometric optical principles involved is provided for reference. The method described allows ready calculation of influence coefficients without tedious ray-trace perturbations or dedicated optical analysis software. This paper is a companion to a previous paper by the authors, in which the structural influence coefficients for plane-mirror systems are derived. The influence coefficient method of both papers is unique in its use of line-of-sight reference frames as an optical kinematic tool to track pointing direction and image orientation.

Citation Download Citation

James C. DeBruin and David B. Johnson "Derivation of structural influence coefficients for long-focus imaging optical systems", Proc. SPIE 2263, Current Developments in Optical Design and Optical Engineering IV, (30 September 1994); https://doi.org/10.1117/12.188026

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