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Proceedings Paper

Axiomatic System Theory And Optical Images
Author(s): Giovanni Crosta
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Paper Abstract

Several practical problems which arise in optics are related to achieving a desired three-dimensional signal distribution inside a bounded spatial domain. If we deal with harmonic time dependence, we find an example in integrated circuit microfabrication; if time dependence is arbitrary, we may think of pulse compression in dispersive media. To all of these problems there is a unifying approach based on axiomatic system theory. This theory is well-known to rely on the state space formulation. The way in which the in put acts on the state is quantified by the "controllability" concept. Similarly "observability" relates output data to the state. Strictly related to this approach is the "opt-imal control problem", where the task is to find an input which minimizes a functional consisting of two addenda: a physical term comparing the obtained output with the desired one by some quadratic criterion, and an economical term related to the cost of a given input. These concepts are widely used in signal processing, control theory, etc. Their application to optical problems requires them to be extended to distributed parameter systems. For the cases discussed in the text controllability results will be given and optimal control problems will be stated.

Paper Details

Date Published: 18 June 1980
PDF: 8 pages
Proc. SPIE 0212, Optics and Photonics Applied to Three-Dimensional Imagery, (18 June 1980); doi: 10.1117/12.958384
Show Author Affiliations
Giovanni Crosta, via Dupre (Italy)

Published in SPIE Proceedings Vol. 0212:
Optics and Photonics Applied to Three-Dimensional Imagery
Michel H. Grosmann; Patrick Meyrueis, Editor(s)

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