Complex wave dynamics in a rugby microballs with semiconductor active mirrors

The optical implementation of complex network is considered for laser cavity formed by active mirrors deposited on the surface of ellipsoidal semiconductor microball having size of about 1 mm, whose eccentricity close to 0.5 and equivalent optical circuit, containing amplifying and absorbing media in Fourier-conjugated planes. Such rugby-ball microlaser has self-imaging cavity with efficient diffractive interconnections between different points of the mirrors. We show how the spatiotemporal dynamics of this nonlinear resonator is controlled by the geometry of gain-losses distribution making possible the analog modeling of the several generic nonlinear evolution equations.