Quasi phase matched second order reflection and transmission coefficients

We report the study of reflection and transmission coefficients, when a S-polarized electromagnetic wave is used to excite a linear dielectric NID-nonlinear dielectric NID planar interface. Nonlinear medium in our study is of second harmonic generation type hence we only studied the second order reflectivity and transmittance characteristics. Wave propagation in NID mediums are modeled by using method of separation of variables in NID space and the solution of the nonlinear wave equation is obtained by using the quasi phase matching approximation. As a special case of the original geometry we also studied the changes in the behavior of the coefficients when EN-NID and MN-NID mediums are taken as reflected mediums. In all these cases impact of the non-linearity and noninteger dimensions are noted separately. We also report the specific ranges of the permittivities and permeability in which maximum amplitude of the coefficients can be achieved.

Automated summary

This study investigates the reflection and transmission coefficients of a S-polarized electromagnetic wave when it excites a linear dielectric-nonlinear dielectric planar interface. The nonlinear medium in this study is of second harmonic generation type, thus only the second order reflectivity and transmittance characteristics are examined. The wave propagation in nonlinearly, inhomogeneous and anisotropic dispersive (NID) media is modeled using the method of separation of variables in NID space. The solution to the nonlinear wave equation is obtained using the quasi phase matching approximation. The behavior of the coefficients is also studied when EN-NID and MN-NID media are used as the reflected medium in a special case of the original geometry. The impact of non-linearity and noninteger dimensions are considered separately, and specific ranges of permittivities and permeability for achieving maximum coefficient amplitude are reported.