Canard orbits in Fabry-Perot cavities induced by radiation pressure and photothermal effects

Year: 2006

Authors: Marino F., De Rosa M., Marin F.

Autors Affiliation: INFN, Sezione di Firenze, Via Sansone 1, 50019 Sesto Firentino (FI), Italy;
CNR – Istituto Nazionale di Ottica Applicata, Sezione di Napoli, Via Campi Flegrei 34, 80078 Pozzuoli (NA), Italy;
Dipartimento di Fisica, Università di Firenze, Via Sansone 1, 50019 Sesto Firentino (FI), Italy;
LENS, Via Sansone 1, 50019 Sesto Firentino (FI), Italy

Abstract: A theoretical study of a high-finesse Fabry-Perot cavity considering radiation pressure and photothermal displacement is reported. We show that the competition between these two effects induces a different kind of dynamic behavior in such a system, consisting of canard orbits and excitability. The transition between the excitable regime and the canard oscillations, occurring through a supercritical Hopf bifurcation, appears in an order compatible with the van der Pol-FitzHugh-Nagumo equations. Besides its interest as a study of general nonlinear dynamics, the characterization of the effects described is critical for high sensitivity interferometric displacement measurements as those employed for gravitational waves detection.

Journal/Review: PHYSICAL REVIEW E

Volume: 73 (2)      Pages from: 026217-1  to: 026217-11

KeyWords: Canard orbits; Fabry-Perot cavities; Photothermal effects; Radiation pressure, Bifurcation (mathematics); Cavity resonators; Gravity waves; Radiation effects; Wave effects, Fabry-Perot interferometers
DOI: 10.1103/PhysRevE.73.026217

Citations: 20
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