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Influence of cavity properties on the interpretation of experimental results in bistability

Rosenberger, A. T. and Orozco, L. A. and Brecha, R. J. and Kimble, H. J. (1986) Influence of cavity properties on the interpretation of experimental results in bistability. In: Optical Bistability III. Springer Proceedings in Physics. No.8. Springer Berlin Heidelberg , Berlin, Heidelberg, p. 306. ISBN 9783642465826.

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The analysis of experiments on bistability and instability in nonlinear optical resonators depends critically on an understanding of the properties of the corresponding empty (linear) resonators, Both real and ideal cavities exhibit behavior which can lead to a misinterpretation of experimental results, and in both cases this behavior becomes more pronounced with increasing finesse. As an example of the first case, consider a real cavity which is nonideal in that different methods of measurement of the cavity loss give different values for it and hence for the cooperativity C. A simple but realistic model for such a cavity leads to the derivation of a state equation for bistability which differs in functional form from the usual state equation derived assuming an ideal cavity. In such a nonideal cavity, one might find its loss by measuring the decay time of the transmitted light after rapidly cutting off the incident light or by scanning the length of the cavity to measure the finesse. If these two different values of loss differ by a factor of two, as they have in certain of our experiments, then making either one or the other measurement and applying the usual state equation would cause one to overestimate or underestimate the value of C necessary for the critical onset of bistability by as much as 40%. Exemplifying the second case, the transient regime of even an ideal cavity can exhibit behavior which mimics period doubling, quasiperiodicity, and optical chaos. These appear in the transmission of a cavity excited off-resonance by a pulse with rise or fall times comparable to or shorter than the cavity response time, obscuring the investigation of optical nonlinear dynamics in the transient regime.

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Additional Information:© Springer-Verlag Berlin Heidelberg 1986. This work was supported in part by the National Science Foundation, the Venture Research Unit of British Petroleum, and the Joint Services Electronics Program.
Funding AgencyGrant Number
Joint Services Electronics ProgramUNSPECIFIED
Subject Keywords:Decay Time, Transmitted Light, Fall Time, Transient Regime, British Petroleum
Series Name:Springer Proceedings in Physics
Issue or Number:8
Record Number:CaltechAUTHORS:20201121-170820693
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106769
Deposited By: Rebecca Minjarez
Deposited On:23 Nov 2020 17:06
Last Modified:16 Nov 2021 18:56

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