Solving self-mixing equations for arbitrary feedback levels: a concise algorithm

Abstract : Self-mixing laser sensors show promise for a wide range of sensing applications, including displacement, velocimetry, and fluid flow measurements. Several techniques have been developed to simulate self-mixing signals; however, a complete and succinct process for synthesizing self-mixing signals has so far been absent in the open literature. This article provides a systematic numerical approach for the analysis of self-mixing sensors using the steady-state solution to the Lang and Kobayashi model. Exam-ples are given to show how this method can be used to synthesize self-mixing signals for arbitrary feed-back levels and for displacement, distance, and velocity measurement. We examine these applications with a deterministic stimulus and discuss the velocity measurement of a rough surface, which necessi-tates the inclusion of a random stimulus.
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Russell Kliese, Thomas Taimre, A. Ashrif A. Bakar, Yah Leng Lim, Karl Bertling, et al.. Solving self-mixing equations for arbitrary feedback levels: a concise algorithm. Applied optics, Optical Society of America, 2014, 53 (17), pp.3723-3736. ⟨10.1364/AO.53.003723⟩. ⟨hal-01091363⟩

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