Phys. Rev. A 48, 4605–4609 (1993)Transverse patterns in nascent optical bistabilityReceived 25 May 1993; published in the issue dated December 1993 We study the Swift-Hohenberg equation describing a passive optical cavity driven by an external coherent field, valid close to the onset of optical bistability. A linear analysis shows that the system can sustain nontrivial stationary structures for small positive detunings. A weakly nonlinear analysis in the vicinity of the instability points reveals the existence of stable hexagonal structures which eventually give way to rolls. Numerical simulations support such a bifurcation scenario. © 1993 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.48.4605
DOI:
10.1103/PhysRevA.48.4605
PACS:
42.65.Pc, 42.60.Mi
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