Geometric and potential dynamics interpretation of the optic ring resonator bistability

S. Chiangga; T. Chittha; T. D. Frank

doi:10.1117/12.2196286

29 July 2015 Geometric and potential dynamics interpretation of the optic ring resonator bistability

S. Chiangga, T. Chittha, T. D. Frank

Proceedings Volume 9659, International Conference on Photonics Solutions 2015; 96591N (2015) https://doi.org/10.1117/12.2196286
Event: International Conference on Photonics Solutions 2015, 2015, Hua Hin, Thailand

Abstract

The optical bistability is a fundamental nonlinear feature of the ring resonator. A geometric and potential dynamics interpretation of the bistability is given. Accordingly, the bistability of the nonlinear system is shown to be a consequence of geometric laws of vector calculus describing the resonator ring. In contrast, the so-called transcendental relations that have been obtained in the literature in order to describe the optical wave are interpreted in terms of potential dynamical systems. The proposed novel interpretation provides new insights into the nature of the ring resonator optical bistability. The fundamental work by Rukhlenko, Premaratne and Agrawal (2010) as well as a more recent study by Chiangga, Pitakwongsaporn, Frank and Yupapin (2013) are considered.

Citation Download Citation

S. Chiangga, T. Chittha, and T. D. Frank "Geometric and potential dynamics interpretation of the optic ring resonator bistability ", Proc. SPIE 9659, International Conference on Photonics Solutions 2015, 96591N (29 July 2015); https://doi.org/10.1117/12.2196286

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