M. Leberre et al., BICONICAL EMISSION OF SPATIALLY MODE-LOCKED PATTERNS WITH WAVE-NUMBERRATIO ROOT-2 IN A RING CAVITY DEVICE, Physical review. A, 54(4), 1996, pp. 3428-3446
Bioconical emission with wave-number ratio root 2 is observed in the n
umerical simulations of the ring cavity with diffraction effects, on t
he defocusing side of the resonance. As the intensity of the plane-wav
e beam increases, a sequence of stationary patterns is observed, and u
nderstood via a nonlinear analysis. The first pattern with (4-4) peaks
is a bisquare resulting from a strong coupling between two quasireson
ant sets of modes with wave numbers K and root 2K. This pattern destab
ilizes at the onset of the drift bifurcation, into a new (4-4) pattern
with a smaller wavelength, that splits into two twisted bisquares, wi
th a 53 degrees rotation angle ensuring the wave-vector locking, or th
e spatia periodicity of this (8-8) structure.