Kestutis Staliūnas | PubMed Health

PubMed2005

Hyperbolic transverse patterns in nonlinear optical resonators.

We consider a nonlinear optical system in general, and a broad aperture laser, in particular, in a resonator where the diffraction coefficients are of opposite signs along two transverse directions. The system is described by the hyperbolic Maxwell-Bloch equations, where the spatial coupling is provided by the D'Alambert operator rather than by the Laplace operator. We show that this system supports hyperbolic transverse patterns residing on hyperbolas in far-field domain, and consisting of stretched vortices in near-field domain.

Journal Article↗

PubMed2004

Midband solitons in nonlinear photonic crystal resonators.

We investigate cavity solitons in nonlinear photonic crystal resonators, i.e., in the nonlinear resonators with the refractive index periodically modulated in the transverse direction. We study several families of the cavity solitons: (1) "normal," and (2) "staggered" solitons, similar to those in conservative nonlinear photonic crystals; (3) "midband" solitons, predicted recently in dissipative nonlinear photonic crystals [Phys. Rev. Lett. 91, 053901 (2003)]]; and (4) "double head" cavity solitons not reported before. We investigate the solitons by (1) numerically solving the full microscopic model explicitly accounting for the small scale refractive index modulation, and (2) adopting a "mean field" approximation, e.g., eliminating the small scale refractive index modulation.

Journal Article↗