Ms. Sanaz Khan Afshar Profile

Sanaz Khan Afshar

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Proceedings Article | 12 September 2014 Paper

Formal analysis of electromagnetic optics

Sanaz Khan-Afshar, Osman Hasan, Sofiène Tahar

Proceedings Volume 9193, 91930A (2014) https://doi.org/10.1117/12.2062965

KEYWORDS: Electroluminescent displays, Resonators, Interfaces, Electromagnetism, Logic, Systems modeling, Fabry–Perot interferometers, Magnetism, Mirrors, Mathematical modeling

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Optical systems are increasingly being used in safety-critical applications. Due to the complexity and sensitivity of optical systems, their verification raises many challenges for engineers. Traditionally, the analysis of such systems has been carried out by paper-and-pencil based proofs and numerical computations. However, these techniques cannot provide accurate results due to the risk of human error and inherent approximations of numerical algorithms. In order to overcome these limitations, we propose to use theorem proving (i.e., a computer-based technique that allows to express mathematical expressions and reason about their correctness by taking into account all the details of mathematical reasoning) as a complementary approach to improve optical system analysis. This paper provides a higher-order logic (a language used to express mathematical theories) formalization of electromagnetic optics in the HOL Light theorem prover. In order to demonstrate the practical effectiveness of our approach, we present the analysis of resonant cavity enhanced photonic devices.

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