No abstract

Public reporting burden for this collection of information is estimated PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES)University of California, Irvine Department of Mathematics 420 rowland Hall Irvine, CA 92697-3875 Our initial theoretical work with Dr. Yu. Godin on asymptotic models for 3D thin-film photonic crystals Is out. The results establish a possibility of spectral gaps and provide new computational tools for studies of 3D photonic crystals. A. Eigotin and Yu. Godin, "Spectral Properties of Thin-film Photonio Crystals", SIAN J. Appl. Math., 61, No. 6, pp. 2008-2035(2001. We finished our work on nonlinear photonic crystals with quadratic nonlinearity including the role the group velocity matching for nonlinear interactions in periodic media. We can see looking at publications a growing interest to nonlinear periodic dielectric structures, especially with quadratic nonlinearity. We believe that the work we have conducted is an achievement in that area. We learned from the editor that our paper was "one of the most accessed orticles for the Journal las: SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES)AFOSR