Dispersive optical bistability in unidirectional ring cavity

Fedor Srobar

doi:10.1117/12.498518

8 July 2003 Dispersive optical bistability in unidirectional ring cavity

Fedor Srobar

Proceedings Volume 5036, Photonics, Devices, and Systems II; (2003) https://doi.org/10.1117/12.498518
Event: Photonics, Devices, and Systems II, 2002, Prague, Czech Republic

Abstract

The mathematical models of dispersive optical bistability in unidirectional ring cavity yield the transmitted intensity I_t as a function of the input intensity I_in with additional parameters (mirror reflectivity R and phase shift β). There are two feedback elements in this description: the energy (and, hence, also causal) feedback quantified by R and the purely causal feedback given by dependence of the phase shift on the transmitted power, β=β₀+β₂I_t. The apparatus of causal diagrams method is used to represent and analyze phenomena in the ring cavity. The region of physically unstable states is marked by the condition t_loop>1, where t_loop is the transmission function of the feedback loop I_tβI_inI_t present in the diagram. Besides the critical points defined by t_loop=1 (which are linked to the existence of bistability), there are two conditions marked by t_loop=0 in which the cavity state is insensitive to the values of R.

Citation Download Citation

Fedor Srobar "Dispersive optical bistability in unidirectional ring cavity", Proc. SPIE 5036, Photonics, Devices, and Systems II, (8 July 2003); https://doi.org/10.1117/12.498518

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