Stationary spatial patterns in passive optical systems: Two-level atoms
- 1 May 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 37 (10), 3896-3908
- https://doi.org/10.1103/physreva.37.3896
Abstract
We discuss a novel type of optical instability, which leads to the spontaneous formation of a stationary spatial structure, instead of to the onset of oscillations or pulsations. A passive system is contained in an optical cavity, to which we add two lateral mirrors. Under appropriate conditions, diffraction of radiation can induce the onset of a transverse-stripe structure in an initially uniform plane-wave field configuration. In this paper, we consider the case of a homogeneously broadened two-level system. The model on which our analysis is based is derived from the Maxwell-Bloch equations in the paraxial approximation, using the mean-field limit and assuming a large Fresnel number. We show that, with respect to the bistability parameter C, the threshold of the spatial instability coincides with the bistability threshold for absorptive, resonant optical bistability. The spatial instability requires, however, a detuned configuration and can arise both in the absence and presence of bistability. In the latter case, it can occur both in the lower and in the upper branch of the steady-state curve. The instability is caused by competition between different transverse modes, which realize a situation of spatial coexistence, different from the state of temporal coexistence which characterizes the spontaneous oscillations that arise from the previously known multimode instabilities. Finally, we discuss some points relevant for an experimental observation of this phenomenon.Keywords
This publication has 13 references indexed in Scilit:
- Spatial Dissipative Structures in Passive Optical SystemsPhysical Review Letters, 1987
- Multimode laser with an injected signal: Steady-state and linear stability analysisPhysical Review A, 1985
- New Class of Instabilities in Passive Optical CavitiesPhysical Review Letters, 1985
- Pulsating instabilities and chaos in lasersProgress in Quantum Electronics, 1985
- Optical bistability due to induced absorption: Propagation dynamics of excitation profilesApplied Physics Letters, 1984
- Role of Diffractive Coupling and Self-Focusing or Defocusing in the Dynamical Switching of a Bistable Optical CavityPhysical Review Letters, 1982
- Optical bistability in a radially varying modeIEEE Journal of Quantum Electronics, 1981
- A Pre-pattern formation mechanism for animal coat markingsJournal of Theoretical Biology, 1981
- Analytic description of optical bistability including spatial effectsZeitschrift für Physik B Condensed Matter, 1980
- Geometry of PolynomialsMathematical Surveys and Monographs, 1949