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A general theory of magnetooptic waveguides is developed that embraces Cotton-Mouton, Polar and Faradayorientations. New nonlinear modes, together with a strongly nonlinear theory is developed first, with applications that involve coupled systems and gyrotropic nonreciprocity. Planar layeredstructures are selected to begin with and, ultimately, the complex Ginzberg-Landau cubic-quintic envelope equation is also developed, in order to understand certain dissipative conditions. Detailed light control is examined together with role of polarizationinteractions, as the nature of the metamaterialis changed towards an effective zero index. A nonlinear electromagnetic field (energy) concentrator is also considered, for spherically symmetric systems anda new method ofinvestigatingproves that superfocusing must be expected. The techniques deployed use complex geometrical opticsand the full-wave nonlinear solutions. The nonlinear superfocusingleads to a dramatic appearance of “hot spots”. A new form of nonlinearswitching is found when the input field intensity exceeds some “threshold” value. Acoustic analogues are presented and all of these concentrator effects will be controllable in a magnetooptic environment.

Metamaterials