Abstract
Photonic signal processing is an emerging area of research, which provides unique prospects to build high-speed communication systems. Recent advancements in fabrication technology allow on-chip manufacturing of signal processing devices. This fact has lead to the widespread use of photonics in industrial critical applications such as telecommunication, biophotonics and aerospace. One the most challenging aspects in the photonics industry is the accurate modeling and analysis of photonic devices due to the complex nature of light and optical components. In this paper, we propose to use higher-order-logic theorem proving to improve the analysis accuracy by overcoming the known limitations of incompleteness and soundness of existing approaches (e.g., paper-and-pencil based proofs and simulation). In particular, we formalize the notion of transfer function using the signal-flow-graph theory which is the most fundamental step to model photonic circuits. Consequently, we formalize and verify the important properties of the stability and the resonance of photonic systems. In order to demonstrate the effectiveness of the proposed infrastructure, we present the formal analysis of a widely used double-coupler double-ring (DCDR) photonic processor.
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Siddique, U., Beillahi, S.M., Tahar, S. (2015). On the Formal Analysis of Photonic Signal Processing Systems. In: Núñez, M., Güdemann, M. (eds) Formal Methods for Industrial Critical Systems. FMICS 2015. Lecture Notes in Computer Science(), vol 9128. Springer, Cham. https://doi.org/10.1007/978-3-319-19458-5_11
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DOI: https://doi.org/10.1007/978-3-319-19458-5_11
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