Formal Analysis of Optical Systems

Optical systems are becoming increasingly important by resolving many bottlenecks in todays communication, electronics, and biomedical systems. However, given the continuous nature of optics, the inability to efficiently analyze optical system models using traditional paper-and-pencil and computer simulation approaches sets limits especially in safety-critical applications. In order to overcome these limitations, we propose to employ higher-order-logic theorem proving as a complement to computational and numerical approaches to improve optical model analysis in a comprehensive framework. The proposed framework allows formal analysis of optical systems models at four abstraction levels: ray, wave, electromagnetic, and quantum.

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Concordia University