Nonlinear optical propagation in periodical and quasiperiodical layered structures

Summary form only given. The considered structures are obtained by alternating two dielectric layers of different refractive indices such that the highest refractive index layers belong to some fractal set. The triadic Cantor and the Fibonacci sets are considered as examples. The transfer matrix method is used and some of its properties are presented. Then the nonlinear transmission properties are discussed for second order nonlinear polarization. An analysis on phase matching conditions is presented. Additional analysis is performed when the input level intensity is so high to induce third order nonlinear polarization into the dielectric media constituting the structures. Mesoscopic model is also introduced.